000 | 03906nam a22004455i 4500 | ||
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001 | u372453 | ||
003 | SIRSI | ||
005 | 20160812084059.0 | ||
007 | cr nn 008mamaa | ||
008 | 110826s2011 xxu| s |||| 0|eng d | ||
020 |
_a9781461410997 _9978-1-4614-1099-7 |
||
040 | _cMX-MeUAM | ||
050 | 4 | _aQA184-205 | |
082 | 0 | 4 |
_a512.5 _223 |
100 | 1 |
_aZhang, Fuzhen. _eauthor. |
|
245 | 1 | 0 |
_aMatrix Theory _h[recurso electrónico] : _bBasic Results and Techniques / _cby Fuzhen Zhang. |
264 | 1 |
_aNew York, NY : _bSpringer New York, _c2011. |
|
300 |
_aXVII, 399 p. 8 illus., 1 illus. in color. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aUniversitext, _x0172-5939 |
|
505 | 0 | _aPreface 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. | |
520 | _aThe 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 | 0 | _aMathematics. | |
650 | 0 | _aMatrix theory. | |
650 | 0 | _aOperator theory. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aLinear and Multilinear Algebras, Matrix Theory. |
650 | 2 | 4 | _aOperator Theory. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9781461410980 |
830 | 0 |
_aUniversitext, _x0172-5939 |
|
856 | 4 | 0 |
_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4614-1099-7 |
596 | _a19 | ||
942 | _cLIBRO_ELEC | ||
999 |
_c200333 _d200333 |