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1.

図書
図書
1. Matrix differential calculus with applications in statistics and econometrics. Rev. ed (: hbk ; : pbk)
Jan R. Magnus and Heinz Neudecker
出版情報: Chichester ; New York : Wiley, c1999  xviii, 395 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Applied probability and statistics
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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
2.

図書
図書
2. Jacobians of matrix transformations and functions of matrix argument
A.M. Mathai
出版情報: Singapore ; New Jersey : World Scientific, c1997  xii, 435 p. ; 23 cm
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3.

図書
図書
3. Matrices of sign-solvable linear systems
Richard A. Brualdi, Bryan L. Shader
出版情報: Cambridge [England] ; New York : Cambridge University Press, 1995  xii, 298 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 116
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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：
4.

図書
図書
4. Matrix-analytic methods in stochastic models
edited by Srinivas R. Chakravarthy, Attahiru S. Alfa
出版情報: New York : Marcel Dekker, c1997  xi, 375 p. ; 26 cm
シリーズ名: Lecture notes in pure and applied mathematics ; v. 183
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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
5.

図書
図書
5. Geometry and combinatorics : selected works of J.J. Seidel
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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6.

図書
図書
6. Topics in matrix analysis
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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目次情報: 続きを見る
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：
7.

図書
図書
7. Matrix methods : an introduction. 2nd ed
Richard Bronson
出版情報: Boston : Academic Press, c1991  xiii, 503 p. ; 25 cm
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目次情報: 続きを見る
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
8.

図書
図書
8. Matrix-tensor methods in continuum mechanics. 2nd ed (pbk)
S.F. Borg
出版情報: Singapore : World Scientific, c1990  xvi, 336 p. ; 24 cm
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9.

図書
図書
9. Combinatorial matrix theory
Richard A. Brualdi, Herbert J. Ryser
出版情報: Cambridge : Cambridge University Press, 1991  ix, 367 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; 39
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目次情報: 続きを見る
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：
10.

図書
図書
10. Interpolation of rational matrix functions (: gw ; : us)
Joseph A. Ball, Israel Gohberg, Leiba Rodman
出版情報: Basel ; Boston : Birkhäuser Verlag, 1990  605 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 45
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