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Numerical Methods for Eigenvalue Problems (Record no. 405721)

000 -LEADER
fixed length control field 04010cam a2200541Mu 4500
001 - CONTROL NUMBER
control field ocn796384303
003 - CONTROL NUMBER IDENTIFIER
control field OCoLC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140120114848.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m o d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu---unuuu
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 120625s2012 gw o 000 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency
Language of cataloging eng
Transcribing agency EBLCP
Modifying agency OCLCO
-- N$T
-- YDXCP
-- OCLCQ
-- IDEBK
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783110250374 (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 3110250373 (electronic bk.)
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)796384303
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA193 .B67 2012
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 002030
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.9/436
-- 512.9436
049 ## - LOCAL HOLDINGS (OCLC)
Holding library ISIA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name B�orm, Steffen.
245 10 - TITLE STATEMENT
Title Numerical Methods for Eigenvalue Problems
Medium [electronic resource].
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Berlin :
Name of publisher, distributor, etc De Gruyter,
Date of publication, distribution, etc 2012.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (216 p.)
490 1# - SERIES STATEMENT
Series statement De Gruyter Textbook
500 ## - GENERAL NOTE
General note Description based upon print version of record.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface; 1 Introduction; 1.1 Example: Structural mechanics; 1.2 Example: Stochastic processes; 1.3 Example: Systems of linear differential equations; 2 Existence and properties of eigenvalues and eigenvectors; 2.1 Eigenvalues and eigenvectors; 2.2 Characteristic polynomials; 2.3 Similarity transformations; 2.4 Some properties of Hilbert spaces; 2.5 Invariant subspaces; 2.6 Schur decomposition; 2.7 Non-unitary transformations; 3 Jacobi iteration; 3.1 Iterated similarity transformations; 3.2 Two-dimensional Schur decomposition; 3.3 One step of the iteration; 3.4 Error estimates
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 3.5 Quadratic convergence4 Power methods; 4.1 Power iteration; 4.2 Rayleigh quotient; 4.3 Residual-based error control; 4.4 Inverse iteration; 4.5 Rayleigh iteration; 4.6 Convergence to invariant subspace; 4.7 Simultaneous iteration; 4.8 Convergence for general matrices; 5 QR iteration; 5.1 Basic QR step; 5.2 Hessenberg form; 5.3 Shifting; 5.4 Deflation; 5.5 Implicit iteration; 5.6 Multiple-shift strategies; 6 Bisection methods; 6.1 Sturm chains; 6.2 Gershgorin discs; 7 Krylov subspace methods for large sparse eigenvalue problems; 7.1 Sparse matrices and projection methods
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 7.2 Krylov subspaces7.3 Gram-Schmidt process; 7.4 Arnoldi iteration; 7.5 Symmetric Lanczos algorithm; 7.6 Chebyshev polynomials; 7.7 Convergence of Krylov subspace methods; 8 Generalized and polynomial eigenvalue problems; 8.1 Polynomial eigenvalue problems and linearization; 8.2 Matrix pencils; 8.3 Deflating subspaces and the generalized Schur decomposition; 8.4 Hessenberg-triangular form; 8.5 Deflation; 8.6 The QZ step; Bibliography; Index;
520 ## - SUMMARY, ETC.
Summary, etc This textbook presents a number of the most important numerical methods for finding eigenvalues and eigenvectors of matrices. The authors discuss the central ideas underlying the different algorithms and introduce the theoretical concepts required to analyze their behaviour. Several programming examples allow the reader to experience the behaviour of the different algorithms first-hand. The book addresses students and lecturers of mathematics and engineering who are interested in the fundamental ideas of modern numerical methods and want to learn how to apply and extend these ideas to solve ne.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Eigenvalues.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Eigenvectors.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Matrices
General subdivision Data processing.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Eigenvalues.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Eigenvectors.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Matrices -- Data processing.
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS / Algebra / Elementary
Source of heading or term bisacsh
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Mehl, Christian.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
Main entry heading B�orm, Steffen
Title Numerical Methods for Eigenvalue Problems
Place, publisher, and date of publication Berlin : De Gruyter,c2012
International Standard Book Number 9783110250336
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title De Gruyter textbook.
856 40 - ELECTRONIC LOCATION AND ACCESS
Materials specified EBSCOhost
Uniform Resource Identifier <a href="http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=471055">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=471055</a>
938 ## -
-- EBL - Ebook Library
-- EBLB
-- EBL894025
938 ## -
-- YBP Library Services
-- YANK
-- 8857220
938 ## -
-- EBSCOhost
-- EBSC
-- 471055
938 ## -
-- Ingram Digital eBook Collection
-- IDEB
-- 417009
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
994 ## -
-- 92
-- INISI

No items available.

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