Matrix analysis
Author(s)
Bibliographic Information
Matrix analysis
Cambridge University Press, 1990, c1985
1st pbk. ed
- : pbk
Available at / 80 libraries
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Etchujima library, Tokyo University of Marine Science and Technology工流通工学
: pbk411.3/H89201550086
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Note
"First paperback edition 1990."--T.p. verso
Bibliography: p. 543-546
Includes index
Description and Table of Contents
Description
In this book the authors present classical and recent results for matrix analysis that have proved to be important to applied mathematics. Facts about matrices, beyond those found in an elementary linear algebra course, are needed to understand virtually any area of mathematics, and the necessary material has only occurred sporadically in the literature and university curricula. As the interest in applied mathematics has grown, the need for a text and a reference work offering a broad selection of topics has become apparent, and this book aims to meet that need. This book will be welcomed as an undergraduate or graduate textbook for students studying matrix analysis. The authors assume a background in elementary linear algebra and knowledge of rudimentary analytical concepts. They begin with a review and discussion of eigenvalues and eigenvectors. The following chapters each treat a major topic in depth. This volume should be useful not only as a text, but also as a self-contained reference work to a variety of audiences in other scientific fields.
Table of Contents
- Preface
- Review and miscellanea
- 1. Eigenvalues, eigenvectors, and similarity
- 2. Unitary equivalence and normal matrices
- 3. Canonical forms
- 4. Hermitian and symmetric matrices
- 5. Norms for vectors and matrices
- 6. Location and perturbation of eigenvalues
- 7. Positive definite matrices
- 8. Non-negative matrices
- 9. Appendices
- References.
by "Nielsen BookData"