Matrix Theory (Record no. 106278)

000 -LEADER
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
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-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
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347 ## -
-- text file
-- PDF
-- 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
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