Matrix analysis
著者
書誌事項
Matrix analysis
Cambridge University Press, 1985
- : hard
大学図書館所蔵 件 / 全74件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Bibliography: p. 543-546
Includes index
内容説明・目次
内容説明
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.
目次
- 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.
「Nielsen BookData」 より