Matrices : methods and applications
著者
書誌事項
Matrices : methods and applications
（Oxford applied mathematics and computing science series）
Clarendon Press, 1990
- : pbk.
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注記
Includes bibliographical references
内容説明・目次
- 巻冊次
-
ISBN 9780198596653
内容説明
Techniques of matrix theory find wide application throughout engineering and the physical, life, and social sciences. Consequently, matrix methods comprise an important component in any "tool kit" of applied mathematics. This textbook provides an up-to-date account of these methods suitable for both undergraduates and more advanced students. The author's aim has been to provide a down-to-earch approach with results illustrated with many examples drawn from the areas of application. The range of topics covered is large: from basic matrix algebra to advanced concepts such as generalized inverses and Hadamard matrices, and applications to error-correcting codes, control theory and linear programming. Practicalities are borne in mind throughout and numerous exercises (with answers) will make the book ideal for students. Research workers too will benefit from the accessible accounts of advanced matrix techniques which they use.
目次
- How matrices arise
- basic algebra of matrices
- unique solution of linear equations
- determinant and inverse
- rank, non-unique solution of equations, and applications
- eigenvalues and eigenvectors
- quadratic and hermitian forms
- canonical forms
- matrix functions
- generalized inverses
- polynomials, stability, and matrix equations
- polynomial and rational matrices
- patterned matrices
- miscellaneous topics.
- 巻冊次
-
: pbk. ISBN 9780198596806
内容説明
Techniques of matrix theory find wide application throughout engineering and the physical, life, and social sciences. Consequently, matrix methods comprise an important component in any 'tool kit' of applied mathematics. This wide-ranging textbook provides a clearly written and up-to-date account of these methods, suitable for both undergraduates and more advanced students.
The aim is to provide a down-to-earth approach with results illustrated by many examples drawn from the areas of application. The range of topics covered is large: from basic matrix algebra to advanced concepts such as generalized inverses and Hadamard matrices, and applications to error-correcting codes, control theory, and linear programming. In addition, the book contains numerous exercises, together with answers, making it ideal for students in any field where matrices are used.
目次
- How matrices arise
- Basic algebra of matrices
- Unique solution of linear equations
- Determinant and inverse
- Rank, non-unique solution of equations, and applications
- Eigenvalues and eigenvectors
- Quadratic and hermitian forms
- Canonical forms
- Matrix functions
- Generalized inverses
- Polynomials, stability, and matrix equations
- Polynomial and rational matrices
- Patterned matrices
- Miscellaneous topics
- Bibliography
- Index
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