Numerical Methods for Eigenvalue Problems / / Steffen Börm, Christian Mehl.
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 i...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2012] ©2012 |
Year of Publication: | 2012 |
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Börm, Steffen, author. aut http://id.loc.gov/vocabulary/relators/aut Numerical Methods for Eigenvalue Problems / Steffen Börm, Christian Mehl. Berlin ; Boston : De Gruyter, [2012] ©2012 1 online resource (208 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Textbook Frontmatter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Existence and properties of eigenvalues and eigenvectors -- Chapter 3. Jacobi iteration -- Chapter 4. Power methods -- Chapter 5. QR iteration -- Chapter 6. Bisection methods -- Chapter 7. Krylov subspace methods for large sparse eigenvalue problems -- Chapter 8. Generalized and polynomial eigenvalue problems -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021) Eigenvalues. Eigenvectors. Matrices Data processing. MATHEMATICS / Applied. bisacsh Bisection Method. Eigenvalue Problem. Jacobi Iteration. QR Iteration. Vector Iteration. Mehl, Christian, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012 9783110288995 ZDB-23-DGG Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012 9783110293722 ZDB-23-DMI Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012 9783110288926 ZDB-23-DMP print 9783110250336 https://doi.org/10.1515/9783110250374 https://www.degruyter.com/isbn/9783110250374 Cover https://www.degruyter.com/document/cover/isbn/9783110250374/original |
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Börm, Steffen, Börm, Steffen, Mehl, Christian, |
spellingShingle |
Börm, Steffen, Börm, Steffen, Mehl, Christian, Numerical Methods for Eigenvalue Problems / De Gruyter Textbook Frontmatter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Existence and properties of eigenvalues and eigenvectors -- Chapter 3. Jacobi iteration -- Chapter 4. Power methods -- Chapter 5. QR iteration -- Chapter 6. Bisection methods -- Chapter 7. Krylov subspace methods for large sparse eigenvalue problems -- Chapter 8. Generalized and polynomial eigenvalue problems -- Bibliography -- Index |
author_facet |
Börm, Steffen, Börm, Steffen, Mehl, Christian, Mehl, Christian, Mehl, Christian, |
author_variant |
s b sb s b sb c m cm |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Mehl, Christian, Mehl, Christian, |
author2_variant |
c m cm |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Börm, Steffen, |
title |
Numerical Methods for Eigenvalue Problems / |
title_full |
Numerical Methods for Eigenvalue Problems / Steffen Börm, Christian Mehl. |
title_fullStr |
Numerical Methods for Eigenvalue Problems / Steffen Börm, Christian Mehl. |
title_full_unstemmed |
Numerical Methods for Eigenvalue Problems / Steffen Börm, Christian Mehl. |
title_auth |
Numerical Methods for Eigenvalue Problems / |
title_alt |
Frontmatter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Existence and properties of eigenvalues and eigenvectors -- Chapter 3. Jacobi iteration -- Chapter 4. Power methods -- Chapter 5. QR iteration -- Chapter 6. Bisection methods -- Chapter 7. Krylov subspace methods for large sparse eigenvalue problems -- Chapter 8. Generalized and polynomial eigenvalue problems -- Bibliography -- Index |
title_new |
Numerical Methods for Eigenvalue Problems / |
title_sort |
numerical methods for eigenvalue problems / |
series |
De Gruyter Textbook |
series2 |
De Gruyter Textbook |
publisher |
De Gruyter, |
publishDate |
2012 |
physical |
1 online resource (208 p.) |
contents |
Frontmatter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Existence and properties of eigenvalues and eigenvectors -- Chapter 3. Jacobi iteration -- Chapter 4. Power methods -- Chapter 5. QR iteration -- Chapter 6. Bisection methods -- Chapter 7. Krylov subspace methods for large sparse eigenvalue problems -- Chapter 8. Generalized and polynomial eigenvalue problems -- Bibliography -- Index |
isbn |
9783110250374 9783110238570 9783110238471 9783110637205 9783110288995 9783110293722 9783110288926 9783110250336 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA193 |
callnumber-sort |
QA 3193 B67 42012 |
url |
https://doi.org/10.1515/9783110250374 https://www.degruyter.com/isbn/9783110250374 https://www.degruyter.com/document/cover/isbn/9783110250374/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
510 - Mathematics |
dewey-full |
510 |
dewey-sort |
3510 |
dewey-raw |
510 |
dewey-search |
510 |
doi_str_mv |
10.1515/9783110250374 |
oclc_num |
796384303 |
work_keys_str_mv |
AT bormsteffen numericalmethodsforeigenvalueproblems AT mehlchristian numericalmethodsforeigenvalueproblems |
status_str |
n |
ids_txt_mv |
(DE-B1597)123209 (OCoLC)796384303 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012 Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012 Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012 |
is_hierarchy_title |
Numerical Methods for Eigenvalue Problems / |
container_title |
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
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