Numerical Methods for Eigenvalue Problems

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Bibliographic Details
Title:	Numerical Methods for Eigenvalue Problems
Description:	Eigenvalues and eigenvectors of matrices and linear operators play an important role when solving problems from structural mechanics and electrodynamics, e.g., by describing the resonance frequencies of systems, when investigating the long-term behavior of stochastic processes, e.g., by describing invariant probability measures, and as a tool for solving more general mathematical problems, e.g., by diagonalizing ordinary differential equations or systems from control theory. 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 behavior with the goal to present an easily accessible introduction to the field, including rigorous proofs of all important results, but not a complete overview of the vast body of research. Several programming examples allow the reader to experience the behavior of the different algorithms first-hand. The book addresses students and lecturers of mathematics, physics 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 new problems.
Authors:	Steffen Börm, Christian Mehl
Resource Type:	eBook.
Subjects:	Eigenvalues, Eigenvectors, Matrices--Data processing
Categories:	MATHEMATICS / Applied, EDUCATION / Teaching / Subjects / Mathematics, MATHEMATICS / Matrices, MATHEMATICS / Study & Teaching, MATHEMATICS / Vector Analysis, MATHEMATICS / Numerical Analysis
Database:	eBook Collection (EBSCOhost)

FullText	Links: – Type: ebook-pdf Text: Availability: 0
Header	DbId: nlebk DbLabel: eBook Collection (EBSCOhost) An: 471055 RelevancyScore: 1044 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 1044.26904296875
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Items	– Name: Title Label: Title Group: Ti Data: Numerical Methods for Eigenvalue Problems – Name: Abstract Label: Description Group: Ab Data: Eigenvalues and eigenvectors of matrices and linear operators play an important role when solving problems from structural mechanics and electrodynamics, e.g., by describing the resonance frequencies of systems, when investigating the long-term behavior of stochastic processes, e.g., by describing invariant probability measures, and as a tool for solving more general mathematical problems, e.g., by diagonalizing ordinary differential equations or systems from control theory. 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 behavior with the goal to present an easily accessible introduction to the field, including rigorous proofs of all important results, but not a complete overview of the vast body of research. Several programming examples allow the reader to experience the behavior of the different algorithms first-hand. The book addresses students and lecturers of mathematics, physics 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 new problems. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Steffen+Börm%22">Steffen Börm</searchLink><br /><searchLink fieldCode="AR" term="%22Christian+Mehl%22">Christian Mehl</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Eigenvalues%22">Eigenvalues</searchLink><br /><searchLink fieldCode="DE" term="%22Eigenvectors%22">Eigenvectors</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices--Data+processing%22">Matrices--Data processing</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Applied%22">MATHEMATICS / Applied</searchLink><br /><searchLink fieldCode="ZK" term="%22EDUCATION+%2F+Teaching+%2F+Subjects+%2F+Mathematics%22">EDUCATION / Teaching / Subjects / Mathematics</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Matrices%22">MATHEMATICS / Matrices</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Study+%26+Teaching%22">MATHEMATICS / Study & Teaching</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Vector+Analysis%22">MATHEMATICS / Vector Analysis</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Numerical+Analysis%22">MATHEMATICS / Numerical Analysis</searchLink>
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RecordInfo	BibRecord: BibEntity: Classifications: – Code: 512.9436 Scheme: ddc Type: prePub – Code: 512.9436 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Eigenvalues Type: general – SubjectFull: Eigenvectors Type: general – SubjectFull: Matrices--Data processing Type: general Titles: – TitleFull: Numerical Methods for Eigenvalue Problems Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Steffen Börm – PersonEntity: Name: NameFull: Christian Mehl – PersonEntity: Name: NameFull: Steffen Börm – PersonEntity: Name: NameFull: Christian Mehl IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2012 – D: 04 M: 02 Type: profile Y: 2014 Identifiers: – Type: isbn-print Value: 9783110250336 – Type: isbn-electronic Value: 9783110250374 Titles: – TitleFull: Numerical Methods for Eigenvalue Problems Type: main
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