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1.

図書

図書
Richard Bronson
出版情報: New York : Academic Press, [c1969], 1971  xiii, 284 p ; 24 cm
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2.

図書

図書
Richard Bronson
出版情報: Boston : Academic Press, c1991  xiii, 503 p. ; 25 cm
所蔵情報: loading…
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
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