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Numerical Methods for Eigenvalue Problems
Buch von Christian Mehl (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
Steffen Börm, Christian-Albrechts-Universität zu Kiel, Germany; Christian Mehl, Technische Universität Berlin, Germany.
Zusammenfassung
Exklusives Verkaufsrecht für: Gesamte Welt.
Details
Erscheinungsjahr: 2012
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: De Gruyter Textbook
Inhalt: VIII
208 S.
20 farbige Illustr.
20 col. ill.
ISBN-13: 9783110250336
ISBN-10: 3110250330
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Mehl, Christian
Börm, Steffen
Hersteller: De Gruyter
de Gruyter, Walter, GmbH
De Gruyter Textbook
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 246 x 175 x 18 mm
Von/Mit: Christian Mehl (u. a.)
Erscheinungsdatum: 30.05.2012
Gewicht: 0,553 kg
Artikel-ID: 105153422
Über den Autor
Steffen Börm, Christian-Albrechts-Universität zu Kiel, Germany; Christian Mehl, Technische Universität Berlin, Germany.
Zusammenfassung
Exklusives Verkaufsrecht für: Gesamte Welt.
Details
Erscheinungsjahr: 2012
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: De Gruyter Textbook
Inhalt: VIII
208 S.
20 farbige Illustr.
20 col. ill.
ISBN-13: 9783110250336
ISBN-10: 3110250330
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Mehl, Christian
Börm, Steffen
Hersteller: De Gruyter
de Gruyter, Walter, GmbH
De Gruyter Textbook
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 246 x 175 x 18 mm
Von/Mit: Christian Mehl (u. a.)
Erscheinungsdatum: 30.05.2012
Gewicht: 0,553 kg
Artikel-ID: 105153422
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