1.
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図書
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by W. Michael Kelley
出版情報: |
New York : Alpha, a member of Penguin Group (USA), c2005 xvii, 333 p. ; 24 cm |
シリーズ名: |
The complete idiot's guide to |
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目次情報:
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A Preponderance of Prioritized Precalculus Prerequisites / Part 1: |
Reviewing Numbers and Arithmetic / 1: |
Equations and Inequalities / 2: |
Practicing with Polynomials / 3: |
Factoring Polynomials / 4: |
Rational Expressions and Weird Inequalities / 5: |
Functions / 6: |
Nonlinear Equations and Functions / Part 2: |
High-Powered Functions and Equations / 7: |
Logarithmic Functions / 8: |
Exponential Functions / 9: |
Trigonometry / Part 3: |
Tangling with Angles / 10: |
Graphing Trigonometric Functions / 11: |
Trigonometric Identities / 12: |
Solving Trigonometric Equations / 13: |
Oblique Triangle Theorems / 14: |
Conic Sections / Part 4: |
Parabolas and Circles / 15: |
Ellipses and Hyperbolas / 16: |
Matrices and a Mathematical Montage / Part 5: |
Matrix Operations and Calculations / 17: |
The Jagged Little Red Pill of Matrix Applications / 18: |
Final Exam / 19: |
Appendixes |
Solutions to "You've Got Problems" Sidebars / A: |
Glossary / B: |
Index |
A Preponderance of Prioritized Precalculus Prerequisites / Part 1: |
Reviewing Numbers and Arithmetic / 1: |
Equations and Inequalities / 2: |
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2.
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図書
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Barry Simon
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3.
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図書
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Sandra Fital-Akelbek
出版情報: |
Saarbrücken : VDM, c2009 vi, 130 p. ; 22 cm |
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4.
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図書
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Carl Meyer
出版情報: |
Philadelphia : Society for Industrial and Applied Mathematics (SIAM), c2000 2 v. ; 25 cm. |
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Preface |
Linear Equations / 1.: |
Introduction / 1.1: |
Gaussian Elimination and Matrices / 1.2: |
Gauss-Jordan Method / 1.3: |
Two-Point Boundary Value Problems / 1.4: |
Making Gaussian Elimination Work / 1.5: |
Ill-Conditioned Systems / 1.6: |
Rectangular Systems and Echelon Forms / 2.: |
Row Echelon Form and Rank / 2.1: |
Reduced Row Echelon Form / 2.2: |
Consistency of Linear Systems / 2.3: |
Homogeneous Systems / 2.4: |
Nonhomogeneous Systems / 2.5: |
Electrical Circuits / 2.6: |
Matrix Algebra / 3.: |
From Ancient China to Arthur Cayley / 3.1: |
Addition and Transposition / 3.2: |
Linearity / 3.3: |
Why Do It This Way / 3.4: |
Matrix Multiplication / 3.5: |
Properties of Matrix Multiplication / 3.6: |
Matrix Inversion / 3.7: |
Inverses of Sums and Sensitivity / 3.8: |
Elementary Matrices and Equivalence / 3.9: |
The LU Factorization / 3.10: |
Vector Spaces / 4.: |
Spaces and Subspaces / 4.1: |
Four Fundamental Subspaces / 4.2: |
Linear Independence / 4.3: |
Basis and Dimension / 4.4: |
More about Rank / 4.5: |
Classical Least Squares / 4.6: |
Linear Transformations / 4.7: |
Change of Basis and Similarity / 4.8: |
Invariant Subspaces / 4.9: |
Norms, Inner Products, and Orthogonality / 5.: |
Vector Norms / 5.1: |
Matrix Norms / 5.2: |
Inner-Product Spaces / 5.3: |
Orthogonal Vectors / 5.4: |
Gram-Schmidt Procedure / 5.5: |
Unitary and Orthogonal Matrices / 5.6: |
Orthogonal Reduction / 5.7: |
Discrete Fourier Transform / 5.8: |
Complementary Subspaces / 5.9: |
Range-Nullspace Decomposition / 5.10: |
Orthogonal Decomposition / 5.11: |
Singular Value Decomposition / 5.12: |
Orthogonal Projection / 5.13: |
Why Least Squares? / 5.14: |
Angles between Subspaces / 5.15: |
Determinants / 6.: |
Additional Properties of Determinants / 6.1: |
Eigenvalues and Eigenvectors / 7.: |
Elementary Properties of Eigensystems / 7.1: |
Diagonalization by Similarity Transformations / 7.2: |
Functions of Diagonalizable Matrices / 7.3: |
Systems of Differential Equations / 7.4: |
Normal Matrices / 7.5: |
Positive Definite Matrices / 7.6: |
Nilpotent Matrices and Jordan Structure / 7.7: |
Jordan Form / 7.8: |
Functions of Nondiagonalizable Matrices / 7.9: |
Difference Equations, Limits, and Summability / 7.10: |
Minimum Polynomials and Krylov Methods / 7.11: |
Perron-Frobenius Theory / 8.: |
Positive Matrices / 8.1: |
Nonnegative Matrices / 8.3: |
Stochastic Matrices and Markov Chains / 8.4: |
Index |
Preface |
Linear Equations / 1.: |
Introduction / 1.1: |
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5.
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図書
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F.V. Atkinson
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6.
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図書
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edited by Åke Björck, Robert J. Plemmons, Hans Schneider
出版情報: |
New York : North Holland, c1981 404 p. ; 24 cm |
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7.
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図書
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Gerald J. Bierman
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8.
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図書
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Jan R. Magnus and Heinz Neudecker
目次情報:
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Matrices |
Basic Properties of Vectors and Matrices |
Kronecker Products, the Vec-Operator, and the Moore-Penrose Inverse |
Miscellaneous Matrix Results |
Differentials: The Theory |
Mathematical Preliminaries |
Differentials and Differentiability |
The Second Differential |
Static Optimization |
Differentials: The Practice |
Some Important Differentials |
First-Order Differentials and Jacobian Matrices |
Second-Order Differentials and Hessian Matrices |
Inequalities |
The Linear Model |
Statistical Preliminaries |
The Linear Regression Model |
Further Topics in the Linear Model |
Applications To Maximum Likelihood Estimation |
Maximum Likelihood Estimation |
Simultaneous Equations |
Topics in Psychometrics |
Index |
Matrices |
Basic Properties of Vectors and Matrices |
Kronecker Products, the Vec-Operator, and the Moore-Penrose Inverse |
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9.
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図書
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Alston S. Householder
出版情報: |
New York : Dover Publications, 1975, c1964 xi, 257 p. ; 21 cm |
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10.
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図書
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by J.H. Wilkinson
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11.
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図書
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A.R. Collar and A. Simpson
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12.
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図書
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Richard Bronson
出版情報: |
New York : Academic Press, [c1969], 1971 xiii, 284 p ; 24 cm |
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13.
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図書
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K. Clancey, I. Goherg
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14.
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図書
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Alexander Graham
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15.
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図書
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Ivo Marek, Karel Žitný
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16.
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図書
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Hansraj Gupta
出版情報: |
New Delhi : South Asian Publishers, c1985 ix, 192 p. ; 22 cm |
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17.
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図書
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H. Baumgärtel
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18.
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図書
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Nazakat Ullah
出版情報: |
Oxford [Oxfordshire] : Clarendon Press , New York : Oxford University Press, 1987 ix, 140 p. ; 24 cm |
シリーズ名: |
Oxford studies in nuclear physics |
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Statistical Aspects of the Many-Body Problem / 1: |
Collective Rotational Parameters of Nuclei / 2: |
Vibrational Nuclei / 3: |
Transition Region in Heavy Nuclei / 4: |
Symmetry Mixing / 5: |
Anticorrelation in Many-Body Systems / 6: |
Approximate Evaluation of Physical Quantities / 7: |
Correlations Between the Parameters of the S-Matrix / 8: |
Highly Convergent Expansion of the Rayleigh-Schrodinger Pertubation Series / 9: |
Application of Grassman Integration in Matrix Ensembles Theory / 10: |
Averages Over the Space of Complex Orthogonal Matrices / 11: |
Configuration Interaction Problems / 12: |
Statistical Aspects of the Many-Body Problem / 1: |
Collective Rotational Parameters of Nuclei / 2: |
Vibrational Nuclei / 3: |
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19.
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図書
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N.V. Yefimov ; translated and edited by A. Shenitzer
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20.
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図書
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Jan R. Magnus and Heinz Neudecker
目次情報:
続きを見る
Matrices: Basic Properties of Vectors and Matrices |
Kronecker Products, the Vec Operator and the Moore-Penrose Inverse |
Miscellaneous Matrix Results |
Differentials: The Theory: Mathematical Preliminaries |
Differentials and Differentiability |
The Second Differential |
Static Optimization |
Differentials: The Practice: Some Important Differentials |
First Order Differentials and Jacobian Matrices |
Second Order Differentials and Hessian Matrices |
Inequalities: Inequalities |
The Linear Model: Statistical Preliminaries |
The Linear Regression Model |
Further Topics in the Linear Model |
Applications to Maximum Likelihood Estimation: Maximum Likelihood Estimation |
Simultaneous Equations |
Topics in Psychometrics |
Matrices: Basic Properties of Vectors and Matrices |
Kronecker Products, the Vec Operator and the Moore-Penrose Inverse |
Miscellaneous Matrix Results |
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21.
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図書
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A.M. Mathai
出版情報: |
Singapore ; New Jersey : World Scientific, c1997 xii, 435 p. ; 23 cm |
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22.
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図書
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edited by I. Gohberg
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23.
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図書
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Richard A. Brualdi, Bryan L. Shader
目次情報:
続きを見る
Sign-solvability / 1: |
L-matrices / 2: |
Sign-solvability and digraphs / 3: |
S-matrices / 4: |
Beyond S*-matrices / 5: |
SNS-matrices / 6: |
S2NS-matrices / 7: |
External properties of L-Matrices / 8: |
The inverse sign pattern graph / 9: |
Sign stability / 10: |
Related topics / 11: |
Sign-solvability / 1: |
L-matrices / 2: |
Sign-solvability and digraphs / 3: |
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24.
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図書
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edited by Srinivas R. Chakravarthy, Attahiru S. Alfa
目次情報:
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The Marcovian arrival process: some future directions |
an algorithm for the P(n,t) matrices of a continuous BMAP |
a pre-emptive priority Queue with non-renewal inputs |
analysis of a multiserver delay-loss system with a general Markovian arrival process |
analysis of a finite capacity multi-server Queue with non-preemptive priorities and non-renewal input |
matrix-multiplicative approach to quasi-birth-and-death processes |
a level crossing analysis in the MAP/G/1 Queue |
performance |
The Marcovian arrival process: some future directions |
an algorithm for the P(n,t) matrices of a continuous BMAP |
a pre-emptive priority Queue with non-renewal inputs |
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25.
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図書
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Marcel F. Neuts
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26.
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図書
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I. Gohberg, P. Lancaster, L. Rodman
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27.
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図書
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T. Crouch
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28.
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図書
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[by] Arthur S. Hall [and] Ronald W. Woodhead
出版情報: |
New York : Wiley, [1967] xvi, 329 p. ; 24 cm |
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29.
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図書
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Richard S. Varga
出版情報: |
Englewood Cliffs, N.J. : Prentice-Hall , Tokyo : Maruzen, 1964, c1962 xiii, 322 p. ; 22 cm |
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30.
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図書
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Franz E. Hohn
出版情報: |
New York : Macmillan, c1964 xiv, 395 p. ; 24 cm |
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31.
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図書
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edited by D.G. Corneil and R. Mathon
出版情報: |
Boston ; Tokyo : Academic Press, c1991 xix, 410 p. ; 24 cm |
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32.
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図書
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by F. Bowman
出版情報: |
London : English Universities Press, c1962 ix, 163 p. ; 23 cm |
シリーズ名: |
Applied mathematics series |
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33.
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図書
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Robert M. Thrall and Leonard Tornheim
出版情報: |
New York : J. Wiley, [1957] 318 p. ; 24 cm |
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34.
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図書
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J.S. Lomont
出版情報: |
New York : Academic Press, 1959 xi, 346 p. ; 24 cm |
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35.
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図書
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by Thomas L. Wada
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36.
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図書
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Homer E. Brown
出版情報: |
New York : John Wiley, c1975 xiii, 258 p. ; 24 cm |
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37.
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図書
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[by] Alston S. Householder
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38.
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図書
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K. Huseyin
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39.
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図書
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Roger A. Horn, Charles R. Johnson
出版情報: |
Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1991 viii, 607 p. ; 24 cm |
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The field of values / 1: |
Stable matrices and inertia / 2: |
Singular value inequalities / 3: |
Matrix equations and Kronecker products / 4: |
Hadamard products / 5: |
Matrices and functions / 6: |
Totally positive matrices / 7: |
The field of values / 1: |
Stable matrices and inertia / 2: |
Singular value inequalities / 3: |
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40.
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図書
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Richard Bronson
出版情報: |
Boston : Academic Press, c1991 xiii, 503 p. ; 25 cm |
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Matrices. |
Basic Concepts |
Operations |
Matrix Multiplication |
Special Matrices |
Submatrices and Partitioning |
Vectors |
The Geometry of Vectors |
Simultaneous Linear Equations: Linear Systems |
Solutions by Substitution |
Gaussian Elimination |
Pivoting Strategies |
Linear Independence |
Rank |
Theory of Solutions |
Appendix |
The Inverse: Introduction |
Calculating Inverses |
Simultaneous Equations. Properties of the Inverse |
LU Decomposition |
Determinants. Expansion by Confactors |
Properties of Determinants |
Pivotal Condensation |
Inversion |
Cramer's Rule |
Eigenvalues and Eigenvectors. Definitions |
Eigenvalues |
Eigenvectors |
Properties of Eigenvalues and Eigenvectors |
Linearly Independent Eigenvectors |
Power Methods |
Real Inner Products. Introduction |
Orthonormal Vectors |
Projections and QRndash;Decompostions |
The QRndash;Algorithm |
Least*b1Squares |
Matrix Calculus. Well-Defined Functions |
Cayley-Hamilton Theorem |
Polynomials of Matrices--Distinct Eigenvalues |
Polynomials of Matrices--General Case |
Fuctions of a Matrix |
The Function eAt |
Complex Eigenvalues |
Properties of eA |
Derivatives of a Matrix |
Linear Differential Equations. Fundamental Form |
Reduction of an nth Order Equation |
Reduction of a System |
Solutions of Systems with Constant Coefficients |
Solutions of Systems--General Case |
Jordan Canonical Forms. Similar Matrices |
Diagonalizable Matrices |
Functions of Matrices--Diagonalizable Matrices |
Generalized Eigenvectors |
Chains |
Canonical Basis |
Jordan Canonical Forms |
Functions of Matrices--General Case |
Special Matrices. Complex Inner Product |
Self-Adjoint Matrices |
Real Symmetric Matrices |
Orthogonal Matrices |
Hermitian Matrices |
Unitary Matrices |
Summary |
Positive Definite Matrices |
Answers and Hints to Selected Problems |
Index |
Matrices. |
Basic Concepts |
Operations |
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41.
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図書
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Richard S. Varga
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42.
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図書
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S.F. Borg
出版情報: |
Singapore : World Scientific, c1990 xvi, 336 p. ; 24 cm |
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43.
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図書
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Richard A. Brualdi, Herbert J. Ryser
目次情報:
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Incidence matrices / 1: |
Matrices and graphs / 2: |
Matrices and digraphs / 3: |
Matrices and bigraphs / 4: |
Combinatorial matrix algebra / 5: |
Existence theorems for combinatorially constrained matrices / 6: |
Some special graphs / 7: |
The permanent / 8: |
Latin squares / 9: |
Incidence matrices / 1: |
Matrices and graphs / 2: |
Matrices and digraphs / 3: |
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44.
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図書
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Francis D. Murnaghan
出版情報: |
New York : Wiley , London : Chapman & Hall, 1951 140 p. ; 24 cm |
シリーズ名: |
Applied mathematics series |
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45.
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図書
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Joseph A. Ball, Israel Gohberg, Leiba Rodman
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46.
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図書
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by Peter Lancaster
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47.
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図書
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[by] Franklin A. Graybill
出版情報: |
Belmont, Calif. : Wadsworth Pub. Co, [c1969] 372 p. ; 24 cm |
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48.
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図書
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Peter Lancaster
出版情報: |
New York : Academic Press, [1969] xii, 316 p ; 24 cm |
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49.
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図書
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Martin Pearl
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50.
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図書
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M.A.R. Gunston
出版情報: |
Amsterdam ; New York : Elsevier Pub. Co., 1970 [1971] ix, 138 p. ; 23 cm |
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51.
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図書
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[by] Hans Schneider [and] George Phillip Barker
出版情報: |
New York : Holt, Rinehart and Winston, c1968 ix, 385 p ; 24 cm |
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52.
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図書
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Mario Petrich
出版情報: |
London ; New York : Wiley, c1977 viii, 168 p. ; 25 cm |
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53.
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図書
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edited by I. Gohberg
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54.
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図書
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by Dudley E. Littlewood
出版情報: |
Oxford : Clarendon Press, 1950 viii, 310 p. ; 24 cm |
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55.
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図書
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A. C. Aitken
出版情報: |
Edinburgh : Oliver and Boyd , New York : Interscience Publishers, 1956 vii, 156 p. ; 19 cm |
シリーズ名: |
University mathematical texts ; 1 |
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56.
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図書
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J.D. Renton
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57.
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図書
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Günther Windisch
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58.
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図書
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by Daniel T. Finkbeiner, II ; drawings by Evan Gillespie
出版情報: |
San Francisco : W.H. Freeman , Tokyo : Charles E. Tuttle, 1960 248 p.: ill. ; 22 cm |
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59.
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図書
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Schneider, Hans, 1927 Jan. 24- ; Mathematics Research Center (United States. Army) ; University of Wisconsin ; University of Wisconsin--Madison
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60.
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図書
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by Richard G. Cooke
出版情報: |
London : Macmillan, 1950 xiii, 347 p. ; 22 cm |
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61.
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図書
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[by] William Vann Parker and James Clifton Eaves
出版情報: |
New York : Ronald Press, c1960 viii, 195 p. ; 24 cm |
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62.
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図書
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O.P. Sharma
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63.
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図書
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Alan Jennings
出版情報: |
London ; New York : Wiley, c1977 xv, 330 p. ; 24 cm |
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64.
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図書
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by John A. Eisele and Robert M. Mason
出版情報: |
New York : Wiley-Interscience, c1970 x, 337 p. ; 24 cm |
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65.
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図書
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Louis A. Pipes, Shahen A. Hovanessian
出版情報: |
New York : Wiley, c1969 xi, 333 p. ; 23 cm |
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66.
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図書
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Philip J. Davis
目次情報:
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An Introductory Geometrical Application |
Nested triangles / 1.1: |
The transformation $\sigma$ / 1.2: |
The transformation $\sigma$ iterated with different values of $s$ / 1.3: |
Nested polygons / 1.4: |
Introductory Matrix Material |
Block operations / 2.1: |
Direct sums / 2.2: |
Kronecker product / 2.3: |
Permutation matrices / 2.4: |
The Fourier matrix / 2.5: |
Hadamard matrices / 2.6: |
Trace / 2.7: |
Generalized inverse / 2.8: |
Normal matrices, quadratic forms, and field of values / 2.9: |
Circulant Matrices |
Introductory properties / 3.1: |
Diagonalization of circulants / 3.2: |
Multiplication and inversion of circulants / 3.3: |
Additional properties of circulants / 3.4: |
Circulant transforms / 3.5: |
Convergence questions / 3.6: |
Some Geometric Applications of Circulants |
Circulant quadratic forms arising in geometry / 4.1: |
The isoperimetric inequality for isosceles polygons / 4.2: |
Quadratic forms under side conditions / 4.3: |
Nested n-gons / 4.4: |
Smoothing and variation reduction / 4.5: |
Applications to elementary plane geometry: n-gons and $K_r$-grams / 4.6: |
The special case: $\text{circ}(s, t, 0, 0, \dots, 0)$ / 4.7: |
Elementary geometry and the Moore-Penrose inverse / 4.8: |
Generalizations of Circulants: $g$-Circulants and Block Circulants |
$g$-circulants / 5.1: |
$0$-circulants / 5.2: |
PD-matrices / 5.3: |
An equivalence relation on $\{1, 2, \dots, n\}$ / 5.4: |
Jordanization of $g$-circulants / 5.5: |
Block circulants / 5.6: |
Matrices with circulant blocks / 5.7: |
Block circulants with circulant blocks / 5.8: |
Further generalizations / 5.9: |
Centralizers and Circulants |
The leitmotiv / 6.1: |
Systems of linear matrix equations / 6.2: |
The centralizer |
$\div$ algebras / 6.3: |
Some classes $Z(P_{\sigma}, P_{\tau})$ / 6.4: |
Circulants and their generalizations / 6.5: |
The centralizer of $J$; magic squares / 6.6: |
Kronecker products of $I, \pi$, and $J$ / 6.7: |
Best approximation by elements of centralizers / 6.8: |
Appendix |
Bibliography |
Index of authors |
Index of subjects |
An Introductory Geometrical Application |
Nested triangles / 1.1: |
The transformation $\sigma$ / 1.2: |
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67.
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図書
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by Philip J. Davis
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68.
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図書
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Jagdish J. Modi
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69.
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図書
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Hans Volkmer
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70.
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図書
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Paul Horst
出版情報: |
New York : Rinehart & Winston, c1965 xix, 730 p. ; 24 cm |
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71.
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図書
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[by] J. S. Przemieniecki
出版情報: |
New York : McGraw-Hill, [1967, c1968] 468 p ; 23 cm |
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72.
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図書
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Marcel F. Neuts
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73.
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図書
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Allan J. Silberger
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74.
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図書
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David H. Jacobson
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75.
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図書
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I. Gohberg, P. Lancaster, and L. Rodman
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76.
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図書
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C. Radhakrishna Rao, Sujit Kumar Mitra
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77.
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図書
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by C.L. Siegel ; notes by S. Raghavan and S.S. Rangachari
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78.
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図書
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N.J. Pullman
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79.
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図書
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R.T. Smythe, John C. Wierman
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80.
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図書
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Charles A. Hollingsworth
出版情報: |
New York : McGraw-Hill, c1967 ix, 355 p. ; 23 cm |
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81.
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図書
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Roger A. Horn, Charles R. Johnson
出版情報: |
Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1985 xiii, 561 p. ; 24 cm |
子書誌情報: |
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目次情報:
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Preface |
Review and miscellanea |
Eigenvalues, eigenvectors, and similarity / 1: |
Unitary equivalence and normal matrices / 2: |
Canonical forms / 3: |
Hermitian and symmetric matrices / 4: |
Norms for vectors and matrices / 5: |
Location and perturbation of eigenvalues / 6: |
Positive definite matrices / 7: |
Non-negative matrices / 8: |
Appendices / 9: |
References |
Preface |
Review and miscellanea |
Eigenvalues, eigenvectors, and similarity / 1: |
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82.
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図書
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Dragos M. Cvetković ... [et al.]
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83.
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図書
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by A. Berman
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84.
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図書
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Irving Reiner
出版情報: |
New York : Holt, Rinehart and Winston, c1971 v, 154 p ; 23 cm |
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85.
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図書
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Françoise Chatelin ; with exercises by Mario Ahués and Françoise Chatelin ; translated with additional material by Walter Ledermann
出版情報: |
New York ; Chichester : Wiley & Sons, c1993 xviii, 382 p. ; 24 cm |
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86.
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図書
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David I. Steinberg
出版情報: |
New York ; Tokyo : McGraw-Hill, c1974 viii, 280 p. ; 24 cm |
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87.
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図書
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[by] F. A. Ficken
出版情報: |
Englewood Cliffs, N.J. : Prentice-Hall, c1964 1v. ; 22 cm |
子書誌情報: |
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88.
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図書
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Denis Serre
目次情報:
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Preface |
List of Symbols |
Elementary Theory / 1: |
Basics / 1.1: |
Change of Basis / 1.2: |
Exercises / 1.3: |
Square Matrices / 2: |
Determinants and Minors / 2.1: |
Invertibility / 2.2: |
Alternate Matrices and the Pfaffian / 2.3: |
Eigenvalues and Eigenvectors / 2.4: |
The Characteristic Polynomial / 2.5: |
Diagonalization / 2.6: |
Trigonalization / 2.7: |
Irreducibility / 2.8: |
Matrices with Real or Complex Entries / 2.9: |
Eigenvalues of Real- and Complex-Valued Matrices / 3.1: |
Spectral Decomposition of Normal Matrices / 3.2: |
Normal and Symmetric Real-Valued Matrices / 3.3: |
The Spectrum and the Diagonal of Hermitian Matrices / 3.4: |
Norms / 3.5: |
A Brief Review / 4.1: |
Householder's Theorem / 4.2: |
An Interpolation Inequality / 4.3: |
A Lemma about Banach Algebras / 4.4: |
The Gershgorin Domain / 4.5: |
Nonnegative Matrices / 4.6: |
Nonnegative Vectors and Matrices / 5.1: |
The Perron-Frobenius Theorem: Weak Form / 5.2: |
The Perron-Frobenius Theorem: Strong Form / 5.3: |
Cyclic Matrices / 5.4: |
Stochastic Matrices / 5.5: |
Matrices with Entries in a Principal Ideal Domain; Jordan Reduction / 5.6: |
Rings, Principal Ideal Domains / 6.1: |
Invariant Factors of a Matrix / 6.2: |
Similarity Invariants and Jordan Reduction / 6.3: |
Exponential of a Matrix, Polar Decomposition, and Classical Groups / 6.4: |
The Polar Decomposition / 7.1: |
Exponential of a Matrix / 7.2: |
Structure of Classical Groups / 7.3: |
The Groups U(p,q) / 7.4: |
The Orthogonal Groups O(p,q) / 7.5: |
The Symplectic Group Spn / 7.6: |
Singular Value Decomposition / 7.7: |
Matrix Factorizations / 7.8: |
The LU Factorization / 8.1: |
Choleski Factorization / 8.2: |
The QR Factorization / 8.3: |
The Moore-Penrose Generalized Inverse / 8.4: |
Iterative Methods for Linear Problems / 8.5: |
A Convergence Criterion / 9.1: |
Basic Methods / 9.2: |
Two Cases of Convergence / 9.3: |
The Tridiagonal Case / 9.4: |
The Method of the Conjugate Gradient / 9.5: |
Approximation of Eigenvalues / 9.6: |
Hessenberg Matrices / 10.1: |
The QR Method / 10.2: |
The Jacobi Method / 10.3: |
The Power Methods / 10.4: |
Leverrier's Method / 10.5: |
References / 10.6: |
Index |
Preface |
List of Symbols |
Elementary Theory / 1: |
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89.
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図書
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by J.H.M. Wedderburn
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90.
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図書
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A.R. Gourlay, G.A. Watson
出版情報: |
London ; New York : Wiley, c1973 xi, 132 p ; 24 cm |
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91.
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図書
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Franklin Y. Cheng
目次情報:
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Characteristics of free and forced vibrations of elementary systems |
Eigensolution techniques and undamped response analysis of multiple-degree-of-freedom systems |
Eigensolution methods and response analysis for proportional and non-proportional damping |
Dynamic stiffness and energy methods for distributed mass systems |
Dynamic stiffness method for coupling vibration, elastic media and Pdeltal effect |
Consistent mass method of frames and finite elements |
Numerical integration methods and seismic response spectra for single- and multi-components seismic input |
Formulation and response analysis of 3-D building systems with walls and bracings |
Various hysteresis models of non-linear response analysis |
Static and dynamic lateral-force procedures and related effects in building codes of UBC-94, UBC-97, and IBC-2000 |
Problems; solutions |
Appendices: Lagrange's equation |
Derivation of ground rotation |
Vector analysis fundamentals |
Transformation matrix between JCS and GCS |
Transformation matrix between ECS and GCS for beam column |
Transformation matrix and stiffness matrix; of beams column with rigid zone |
Computer program for Newmark method |
Computer program for Wilson method |
Computer program for CQC method |
Goel steel-bracing hysteresis model and computer program |
Takeda model for RC columns and beams and computer program |
Cheng-Mertz model for bending coupling with shear and low-rise shear walls and computer program |
Cheng-Lou axial hysteresis model for RC columns and walls and computer program |
Characteristics of free and forced vibrations of elementary systems |
Eigensolution techniques and undamped response analysis of multiple-degree-of-freedom systems |
Eigensolution methods and response analysis for proportional and non-proportional damping |
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92.
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図書
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[by] G.N. Smith
出版情報: |
Barking (Ripple Rd., Barking, Essex) : Applied Science Publishers Ltd., 1971 xi, 222 p ; 23 cm |
子書誌情報: |
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93.
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図書
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Allan Pinkus
目次情報:
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Foreword |
Basic properties of totally positive matrices / 1: |
Criteria for total positivity and strict total positivity / 2: |
Variation diminishing / 3: |
Examples / 4: |
Eigenvalues and eigenvectors / 5: |
Factorizations of totally positive matrices / 6: |
Afterword |
References |
Subject index |
Author index |
Foreword |
Basic properties of totally positive matrices / 1: |
Criteria for total positivity and strict total positivity / 2: |
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94.
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図書
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I.S. Iohvidov ; translated by G. Philip A. Thijsse
出版情報: |
Boston : Birkhäuser, 1982 xiii, 231 p. ; 24 cm |
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95.
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図書
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Joel N. Franklin
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96.
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図書
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Rajendra Bhatia
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97.
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図書
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[by] V. I. Smirnov. Rev., adapted, and edited by Richard A. Silverman
出版情報: |
New York : [Dover Publications], 1970, c1961 x, 464 p ; 22 cm |
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98.
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図書
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Charles R. Johnson, Ronald L. Smith, Michael J. Tsatsomeros
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99.
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図書
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Elizabeth S. Meckes
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100.
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図書
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[by] Robert L. Childress
出版情報: |
Englewood Cliffs, N.J. : Prentice-Hall, [1974] xii, 356 p. ; 24 cm |
子書誌情報: |
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