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1.

図書

図書
by Daniel T. Finkbeiner, II ; drawings by Evan Gillespie
出版情報: San Francisco : W.H. Freeman , Tokyo : Charles E. Tuttle, 1960  vii, 248 p.: ill. ; 22 cm
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2.

図書

図書
by Hans Schwerdtfeger
出版情報: Groningen : P. Noordhoff, 1950  279 p. ; 25 cm
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3.

図書

図書
Carl Meyer
出版情報: Philadelphia : Society for Industrial and Applied Mathematics (SIAM), c2000  2 v. ; 25 cm.
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目次情報: 続きを見る
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:
4.

図書

図書
Alexander Graham
出版情報: Chichester [Eng.] : E. Horwood , New York : Halsted Press, c1979  295 p. ; 23 cm
シリーズ名: Ellis Horwood series in mathematics and its applications
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5.

図書

図書
by Hans Schwerdtfeger
出版情報: Groningen : P. Noordhoff, 1961 [c1950]  288 p. ; 25 cm
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6.

図書

図書
Smirnov, V. I. (Vladimir Ivanovich), 1887-1974 ; Silverman, Richard A.
出版情報: New York : McGraw-Hill, 1961  x, 464 p. ; 24 cm
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7.

図書

図書
[by] F. A. Ficken
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1964  1v. ; 22 cm
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8.

図書

図書
Irving Reiner
出版情報: New York : Holt, Rinehart and Winston, c1971  v, 154 p ; 23 cm
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9.

図書

図書
[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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10.

図書

図書
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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