skip to content
Spectral computations for bounded operators Preview this item
ClosePreview this item
Checking...

Spectral computations for bounded operators

Author: Mario Ahués; Alain Largillier; Balmohan Vishnu Limaye
Publisher: Boca Raton : Chapman & Hall/CRC, ©2001.
Series: Applied mathematics, 18.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Exact eigenvalues, eigenvectors, and principal vectors of operators with infinite dimensional ranges can rarely be found. Therefore, one must approximate such operators by finite rank operators, then  Read more...

Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Mario Ahués; Alain Largillier; Balmohan Vishnu Limaye
ISBN: 1584881968 9781584881964
OCLC Number: 45637077
Description: xvii, 382 pages : illustrations ; 25 cm.
Contents: Spectral Decomposition --
General Notions --
Decompositions --
Spectral Sets of Finite Type --
Adjoint and Product Spaces --
Adjoint Space --
Product Space --
Spectral Approximation --
Convergence of Operators --
Property U --
Property L --
Error Estimates --
Improvement of Accuracy --
Iterative Refinement --
General Remarks --
Refinement Schemes for a Simple Eigenvalue --
Refinement Schemes for a Cluster of Eigenvalues --
Acceleration --
Motivation --
Higher Order Spectral Approximation --
Simple Eigenvalue and Cluster of Eigenvalues --
Dependence on the Order of the Spectral Analysis --
Finite Rank Approximations --
Approximations Based on Projections --
Truncation of a Schauder Expansion --
Interpolatory Projections --
Orthogonal Projections on Subspaces of Piecewise Constant Functions --
Finite Element Approximation --
Approximations of Integral Operators --
Degenerate Kernel Approximation --
Approximations Based on Numerical Integration --
Weakly Singular Integral Operators --
A Posteriori Error Estimates --
Matrix Formulations --
Finite Rank Operators --
Singularity Subtraction --
Uniformly Well-Conditioned Bases --
Iterative Refinement --
Acceleration --
Numerical Examples --
Matrix Computations --
QR factorization --
Householder symmetries --
Hessenberg Matrices --
Convergence of a Sequence of Subspaces --
Basic Definitions --
Krylov Sequences --
QR Methods and Inverse Iteration --
The Francis-Kublanovskaya QR Method --
Simultaneous Inverse Iteration Method --
Error Analysis.
Series Title: Applied mathematics, 18.
Responsibility: Mario Ahues, Alain Largillier, Balmohan V. Limaye.
More information:

Reviews

Editorial reviews

Publisher Synopsis

"This book gives a careful account of the theory underlying methods for numerical computation of approximations of eigenvalues, eigenvectors and generalized eigenvectors of bounded linear operators Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/45637077> # Spectral computations for bounded operators
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "45637077" ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/35826674#Place/boca_raton> ; # Boca Raton
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/flu> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/35826674#Topic/operateurs_theorie_des> ; # Opérateurs, Théorie des
   schema:about <http://experiment.worldcat.org/entity/work/data/35826674#Topic/spectraaltheorie> ; # Spectraaltheorie
   schema:about <http://dewey.info/class/515.7222/e21/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/35826674#Topic/spektraltheorie> ; # Spektraltheorie
   schema:about <http://experiment.worldcat.org/entity/work/data/35826674#Topic/operatortheorie> ; # Operatortheorie
   schema:about <http://experiment.worldcat.org/entity/work/data/35826674#Topic/beschrankter_operator> ; # Beschränkter Operator
   schema:about <http://experiment.worldcat.org/entity/work/data/35826674#Topic/eigenwaarden> ; # Eigenwaarden
   schema:about <http://id.worldcat.org/fast/1046419> ; # Operator theory
   schema:about <http://id.worldcat.org/fast/1129072> ; # Spectral theory (Mathematics)
   schema:about <http://experiment.worldcat.org/entity/work/data/35826674#Topic/spectre_mathematiques> ; # Spectre (Mathématiques)
   schema:bookFormat bgn:PrintBook ;
   schema:contributor <http://viaf.org/viaf/20913186> ; # Alain Largillier
   schema:contributor <http://viaf.org/viaf/71460520> ; # Balmohan Vishnu Limaye
   schema:copyrightYear "2001" ;
   schema:creator <http://viaf.org/viaf/24690623> ; # Mario Ahués
   schema:datePublished "2001" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/35826674> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/35826674#Series/applied_mathematics> ; # Applied mathematics ;
   schema:name "Spectral computations for bounded operators"@en ;
   schema:productID "45637077" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/45637077#PublicationEvent/boca_raton_chapman_&_hall_crc_2001> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/35826674#Agent/chapman_&_hall_crc> ; # Chapman & Hall/CRC
   schema:url <http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009547136&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA> ;
   schema:url <http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=009547136&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA> ;
   schema:url <http://www.crcnetbase.com/ISBN/9781584881964> ;
   schema:workExample <http://worldcat.org/isbn/9781584881964> ;
   umbel:isLike <http://bnb.data.bl.uk/id/resource/GBA120613> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/45637077> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/35826674#Agent/chapman_&_hall_crc> # Chapman & Hall/CRC
    a bgn:Agent ;
   schema:name "Chapman & Hall/CRC" ;
    .

<http://experiment.worldcat.org/entity/work/data/35826674#Series/applied_mathematics> # Applied mathematics ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/45637077> ; # Spectral computations for bounded operators
   schema:name "Applied mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/35826674#Topic/beschrankter_operator> # Beschränkter Operator
    a schema:Intangible ;
   schema:name "Beschränkter Operator"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/35826674#Topic/operateurs_theorie_des> # Opérateurs, Théorie des
    a schema:Intangible ;
   schema:name "Opérateurs, Théorie des"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/35826674#Topic/spectre_mathematiques> # Spectre (Mathématiques)
    a schema:Intangible ;
   schema:name "Spectre (Mathématiques)"@fr ;
    .

<http://id.worldcat.org/fast/1046419> # Operator theory
    a schema:Intangible ;
   schema:name "Operator theory"@en ;
    .

<http://id.worldcat.org/fast/1129072> # Spectral theory (Mathematics)
    a schema:Intangible ;
   schema:name "Spectral theory (Mathematics)"@en ;
    .

<http://viaf.org/viaf/20913186> # Alain Largillier
    a schema:Person ;
   schema:familyName "Largillier" ;
   schema:givenName "Alain" ;
   schema:name "Alain Largillier" ;
    .

<http://viaf.org/viaf/24690623> # Mario Ahués
    a schema:Person ;
   schema:familyName "Ahués" ;
   schema:givenName "Mario" ;
   schema:name "Mario Ahués" ;
    .

<http://viaf.org/viaf/71460520> # Balmohan Vishnu Limaye
    a schema:Person ;
   schema:familyName "Limaye" ;
   schema:givenName "Balmohan Vishnu" ;
   schema:name "Balmohan Vishnu Limaye" ;
    .

<http://worldcat.org/isbn/9781584881964>
    a schema:ProductModel ;
   schema:isbn "1584881968" ;
   schema:isbn "9781584881964" ;
    .

<http://www.crcnetbase.com/ISBN/9781584881964>
   rdfs:comment "View this book online, via CRCNetBase, both on- and off-campus (please use Desktop Anywhere for off-campus access)" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.