The numerical Jordan form:
"The Numerical Jordan Form is the first book dedicated to exploring the algorithmic and computational methods for determining the Jordan form of a matrix, as well as addressing the numerical difficulties in finding it. Unlike the "pure" Jordan form, the numerical Jordan form preserves...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2024]
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "The Numerical Jordan Form is the first book dedicated to exploring the algorithmic and computational methods for determining the Jordan form of a matrix, as well as addressing the numerical difficulties in finding it. Unlike the "pure" Jordan form, the numerical Jordan form preserves its structure under small perturbations of the matrix elements so that its determination presents a well-posed computational problem. If this structure is well conditioned, it can be determined reliably in the presence of uncertainties and rounding errors. This book addresses the form's application in solving some important problems such as the estimation of eigenvalue sensitivity and computing the matrix exponential. Special attention is paid to the Jordan-Schur form of a matrix which, the author suggests, is not exploited sufficiently in the area of matrix computations. Since the mathematical objects under consideration can be sensitive to changes in the elements of the given matrix, the book also investigates the perturbation analysis of eigenvalues and invariant subspaces. This study is supplemented by a collection over 100 M-files suitable for MATLAB in order to implement the state-of-the art algorithms presented in the book for reducing a square matrix into the numerical Jordan form. Researchers in the fields of numerical analysis and matrix computations and any scientists who utilise matrices in their work will find this book a useful resource, and it is also a suitable reference book for graduate and advance undergraduate courses in this subject area"-- |
| Beschreibung: | Literaturverzeichnis: Seite 593-615 |
| Beschreibung: | xxv, 630 Seiten Diagramme |
| ISBN: | 9789811286445 |
Internformat
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| 100 | 1 | |a Petkov, Petko Hr. |d 1948- |e Verfasser |0 (DE-588)1146708696 |4 aut | |
| 245 | 1 | 0 | |a The numerical Jordan form |c Petko Petkov (Bulgarian Academy of Sciences, Bulgaria) |
| 264 | 1 | |a New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo |b World Scientific |c [2024] | |
| 300 | |a xxv, 630 Seiten |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverzeichnis: Seite 593-615 | ||
| 520 | 3 | |a "The Numerical Jordan Form is the first book dedicated to exploring the algorithmic and computational methods for determining the Jordan form of a matrix, as well as addressing the numerical difficulties in finding it. Unlike the "pure" Jordan form, the numerical Jordan form preserves its structure under small perturbations of the matrix elements so that its determination presents a well-posed computational problem. If this structure is well conditioned, it can be determined reliably in the presence of uncertainties and rounding errors. This book addresses the form's application in solving some important problems such as the estimation of eigenvalue sensitivity and computing the matrix exponential. Special attention is paid to the Jordan-Schur form of a matrix which, the author suggests, is not exploited sufficiently in the area of matrix computations. Since the mathematical objects under consideration can be sensitive to changes in the elements of the given matrix, the book also investigates the perturbation analysis of eigenvalues and invariant subspaces. This study is supplemented by a collection over 100 M-files suitable for MATLAB in order to implement the state-of-the art algorithms presented in the book for reducing a square matrix into the numerical Jordan form. Researchers in the fields of numerical analysis and matrix computations and any scientists who utilise matrices in their work will find this book a useful resource, and it is also a suitable reference book for graduate and advance undergraduate courses in this subject area"-- | |
| 653 | 0 | |a Jordan matrix | |
| 653 | 0 | |a Eigenvalues | |
| 856 | 4 | 2 | |m DE-601 |q pdf/application |u http://www.gbv.de/dms/bowker/toc/9789811286445.pdf |v 2024-08-28 |x Aggregator |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-035290905 | |
Datensatz im Suchindex
| _version_ | 1815710563585490944 |
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| adam_text | |
| any_adam_object | |
| author | Petkov, Petko Hr. 1948- |
| author_GND | (DE-588)1146708696 |
| author_facet | Petkov, Petko Hr. 1948- |
| author_role | aut |
| author_sort | Petkov, Petko Hr. 1948- |
| author_variant | p h p ph php |
| building | Verbundindex |
| bvnumber | BV049952904 |
| classification_tum | MAT 657 |
| ctrlnum | (DE-599)KXP1885999666 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV049952904 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-14T15:02:10Z |
| institution | BVB |
| isbn | 9789811286445 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035290905 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | xxv, 630 Seiten Diagramme |
| publishDate | 2024 |
| publishDateSearch | 2024 |
| publishDateSort | 2024 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Petkov, Petko Hr. 1948- Verfasser (DE-588)1146708696 aut The numerical Jordan form Petko Petkov (Bulgarian Academy of Sciences, Bulgaria) New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2024] xxv, 630 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Literaturverzeichnis: Seite 593-615 "The Numerical Jordan Form is the first book dedicated to exploring the algorithmic and computational methods for determining the Jordan form of a matrix, as well as addressing the numerical difficulties in finding it. Unlike the "pure" Jordan form, the numerical Jordan form preserves its structure under small perturbations of the matrix elements so that its determination presents a well-posed computational problem. If this structure is well conditioned, it can be determined reliably in the presence of uncertainties and rounding errors. This book addresses the form's application in solving some important problems such as the estimation of eigenvalue sensitivity and computing the matrix exponential. Special attention is paid to the Jordan-Schur form of a matrix which, the author suggests, is not exploited sufficiently in the area of matrix computations. Since the mathematical objects under consideration can be sensitive to changes in the elements of the given matrix, the book also investigates the perturbation analysis of eigenvalues and invariant subspaces. This study is supplemented by a collection over 100 M-files suitable for MATLAB in order to implement the state-of-the art algorithms presented in the book for reducing a square matrix into the numerical Jordan form. Researchers in the fields of numerical analysis and matrix computations and any scientists who utilise matrices in their work will find this book a useful resource, and it is also a suitable reference book for graduate and advance undergraduate courses in this subject area"-- Jordan matrix Eigenvalues DE-601 pdf/application http://www.gbv.de/dms/bowker/toc/9789811286445.pdf 2024-08-28 Aggregator Inhaltsverzeichnis |
| spellingShingle | Petkov, Petko Hr. 1948- The numerical Jordan form |
| title | The numerical Jordan form |
| title_auth | The numerical Jordan form |
| title_exact_search | The numerical Jordan form |
| title_full | The numerical Jordan form Petko Petkov (Bulgarian Academy of Sciences, Bulgaria) |
| title_fullStr | The numerical Jordan form Petko Petkov (Bulgarian Academy of Sciences, Bulgaria) |
| title_full_unstemmed | The numerical Jordan form Petko Petkov (Bulgarian Academy of Sciences, Bulgaria) |
| title_short | The numerical Jordan form |
| title_sort | the numerical jordan form |
| url | http://www.gbv.de/dms/bowker/toc/9789811286445.pdf |
| work_keys_str_mv | AT petkovpetkohr thenumericaljordanform |