Matrix Theory (Record no. 106278)
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000 -LEADER | |
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fixed length control field | 03927nam a22004575i 4500 |
001 - CONTROL NUMBER | |
control field | 978-1-4614-1099-7 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20140220083733.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 110826s2011 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9781461410997 |
-- | 978-1-4614-1099-7 |
024 7# - OTHER STANDARD IDENTIFIER | |
Standard number or code | 10.1007/978-1-4614-1099-7 |
Source of number or code | doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA184-205 |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBF |
Source | bicssc |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT002050 |
Source | bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 512.5 |
Edition number | 23 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Zhang, Fuzhen. |
Relator term | author. |
245 10 - TITLE STATEMENT | |
Title | Matrix Theory |
Medium | [electronic resource] : |
Remainder of title | Basic Results and Techniques / |
Statement of responsibility, etc | by Fuzhen Zhang. |
264 #1 - | |
-- | New York, NY : |
-- | Springer New York, |
-- | 2011. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | XVII, 399 p. 8 illus., 1 illus. in color. |
Other physical details | online resource. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
490 1# - SERIES STATEMENT | |
Series statement | Universitext, |
International Standard Serial Number | 0172-5939 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | 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. |
520 ## - SUMMARY, ETC. | |
Summary, etc | 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 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Matrix theory. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Operator theory. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Linear and Multilinear Algebras, Matrix Theory. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Operator Theory. |
710 2# - ADDED ENTRY--CORPORATE NAME | |
Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY | |
Title | Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9781461410980 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Universitext, |
-- | 0172-5939 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://dx.doi.org/10.1007/978-1-4614-1099-7 |
912 ## - | |
-- | ZDB-2-SMA |
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