Matrix theory : basic results and techniques
The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. The book contains ten chapters covering various topics ranging from similarity and special types of matrices to Schur complements and matrix normality. Each chapter foc...
Zapisane w:
| 1. autor: | |
|---|---|
| Format: | Livre numérique |
| Język: | Anglais |
| Wydane: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Wydanie: | Second edition. |
| Seria: | Universitext
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| Hasła przedmiotowe: | |
| Dostęp online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Komentarz: |
Description d'après consultation du 24 mai 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Matrix theory, basic results and techniques, Fuzhen Zhang, 2nd edition, 2011, New York [etc.], Springer, 1 vol. (xvii-399 p.), Universitext, 978-1-461-41098-0 • Matrix theory, basic results and techniques, Fuzhen Zhang, 2nd edition, 2011, New York [etc.], Springer, 1 vol. (xvii-399 p.), Universitext, 978-1-461-41098-0 • Matrix Theory, Texte imprimé, 9781461411000 |
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| 009 | PPN156313960 | ||
| 020 | |a 9781461410997 | ||
| 020 | |a 9781461410997 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.5 | ||
| 084 | |a 15-xx. 2010 | ||
| 084 | |a 47-xx. 2010 | ||
| 100 | 1 | |a Zhang, Fuzhen, |d 1961-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Matrix theory : |b basic results and techniques |c Fuzhen Zhang. |
| 250 | |a Second edition. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Universitext |x 2191-6675 | |
| 500 | |a Description d'après consultation du 24 mai 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 379-389 Index p. 393-397 | ||
| 505 | 1 | |a Preface to the Second Edition Preface Frequently Used Notation and Terminology Frequently Used Terms 1 Elementary Linear Algebra Review 2 Partitioned Matrices, Rank, and Eigenvalues 3 Matrix Polynomials and Canonical Forms 4 Numerical Ranges, Matrix Norms, and Special Operations 5 Special Types of Matrices 6 Unitary Matrices and Contractions 7 Positive Semidefinite Matrices 8 Hermitian Matrices 9 Normal Matrices 10 Majorization and Matrix Inequalities References Notation Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. The book contains ten chapters covering various topics ranging from similarity and special types of matrices to Schur complements and matrix normality. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. Major changes in this revised and expanded second edition: -Expansion of topics such as matrix functions, nonnegative matrices, and (unitarily invariant) matrix norms -The inclusion of more than 1000 exercises -A new chapter, Chapter 4, with updated material on numerical ranges and radii, matrix norms, and special operations such as the Kronecker and Hadamard products and compound matrices -A new chapter, Chapter 10, on matrix inequalities, which presents a variety of inequalities on the eigenvalues and singular values of matrices and unitarily invariant norms. This book can be used as a textbook or a supplement for a linear algebra and matrix theory class or a seminar for senior undergraduate or graduate students. Prerequisites include a decent background in elementary linear algebra and calculus. The book can also serve as a reference for instructors and researchers in the fields of algebra, matrix analysis, operator theory, statistics, computer science, engineering, operations research, economics, and other fields. Fuzhen Zhang is a professor of mathematics at Nova Southeastern University, Fort Lauderdale, Florida. He received his Ph.D. in Mathematics from the University of California at Santa Barbara, M.S. from Beijing Normal University, and B.Sc. from Shenyang Normal University (China). In addition to research papers, he is the author of the book Linear Algebra: Challenging Problems for Students and the editor of The Schur Complement and Its Applications | ||
| 650 | |a Théorie des opérateurs | ||
| 650 | |a Matrices | ||
| 650 | |a Algèbre linéaire | ||
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