The theory of matrices : with applications

Peter Lancaster, Miron Tismenetsky

In this book the authors try to bridge the gap between the treatments of matrix theory and linear algebra. It is aimed at graduate and advanced undergraduate students seeking a foundation in mathematics, computer science, or engineering. It will also be useful as a reference book for those working on matrices and linear algebra for use in their scientific work.

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  • Maxtrix Algebra. Determinants, Inverse Matrices, and Rank. Linear, Euclidean, and Unitary Spaces. Linear Transformations and Matrices. Linear Transformations in Unitary Spaces and Simple Matrices. The Jordan Canonical Form: A Geometric Approach. Matrix Polynomials and Normal Forms. The Variational Method. Functions of Matrices. Norms and Bounds for Eigenvalues. Perturbation Theory. Linear Matrix Equations and Generalized Inverses. Stability Problems. Matrix Polynomials. Nonnegative Matrices. Appendix 1. A Survey of Scalar Polynomials. Appendix 2. Some Theorems and Notions from Analysis. Appendix 3. Suggestions for Further Reading. Index.

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書名 The theory of matrices : with applications
著作者等 Lancaster, Peter
Tismenetsky, Miron
Tismenetsky, Miron
シリーズ名 Computer science and applied mathematics
出版元 Academic Press
刊行年月 c1985
版表示 2nd ed
ページ数 xv, 570 p.
大きさ 24 cm
ISBN 0124355609
NCID BA00196562
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言語 英語
出版国 アメリカ合衆国