Perturbation theory for matrix equations:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier
2003
|
| Ausgabe: | 1st ed |
| Schriftenreihe: | Studies in computational mathematics
9 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The perturbation bounds may further be incorporated in accuracy estimates for the solution computed in finite arithmetic. This is necessary for the development of reliable computational methods, algorithms and software from the viewpoint of modern numerical analysis. In this book a general perturbation theory for matrix algebraic equations is presented. Local and non-local perturbation bounds are derived for general types of matrix equations as well as for the most important equations arising in linear algebra and control theory. A large number of examples, tables and figures is included in order to illustrate the perturbation techniques and bounds Includes bibliographical references and index |
| Beschreibung: | 1 Online-Ressource (xii, 429 pages) |
| ISBN: | 9780444513151 0444513159 0080538673 9780080538679 |
Internformat
MARC
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| 245 | 1 | 0 | |a Perturbation theory for matrix equations |c Mihail Konstantinov [and others] |
| 250 | |a 1st ed | ||
| 264 | 1 | |a Amsterdam |b Elsevier |c 2003 | |
| 300 | |a 1 Online-Ressource (xii, 429 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Studies in computational mathematics |v 9 | |
| 500 | |a The book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The perturbation bounds may further be incorporated in accuracy estimates for the solution computed in finite arithmetic. This is necessary for the development of reliable computational methods, algorithms and software from the viewpoint of modern numerical analysis. In this book a general perturbation theory for matrix algebraic equations is presented. Local and non-local perturbation bounds are derived for general types of matrix equations as well as for the most important equations arising in linear algebra and control theory. A large number of examples, tables and figures is included in order to illustrate the perturbation techniques and bounds | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 7 | |a MATHEMATICS / Differential Equations / General |2 bisacsh | |
| 650 | 7 | |a Matrices |2 fast | |
| 650 | 7 | |a Perturbation (Mathematics) |2 fast | |
| 650 | 7 | |a Matrizes (álgebra) |2 larpcal | |
| 650 | 7 | |a Equações não lineares |2 larpcal | |
| 650 | 4 | |a Perturbation (Mathematics) | |
| 650 | 4 | |a Matrices | |
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| 700 | 1 | |a Konstantinov, M. M. |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u http://www.sciencedirect.com/science/book/9780444513151 |x Verlag |3 Volltext |
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Datensatz im Suchindex
| _version_ | 1804152913658904576 |
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| building | Verbundindex |
| bvnumber | BV042317338 |
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| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1st ed |
| format | Electronic eBook |
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| id | DE-604.BV042317338 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780444513151 0444513159 0080538673 9780080538679 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027754328 |
| oclc_num | 162579626 |
| open_access_boolean | |
| owner | DE-1046 |
| owner_facet | DE-1046 |
| physical | 1 Online-Ressource (xii, 429 pages) |
| psigel | ZDB-33-ESD ZDB-33-EBS FAW_PDA_ESD FLA_PDA_ESD |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Elsevier |
| record_format | marc |
| series2 | Studies in computational mathematics |
| spelling | Perturbation theory for matrix equations Mihail Konstantinov [and others] 1st ed Amsterdam Elsevier 2003 1 Online-Ressource (xii, 429 pages) txt rdacontent c rdamedia cr rdacarrier Studies in computational mathematics 9 The book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The perturbation bounds may further be incorporated in accuracy estimates for the solution computed in finite arithmetic. This is necessary for the development of reliable computational methods, algorithms and software from the viewpoint of modern numerical analysis. In this book a general perturbation theory for matrix algebraic equations is presented. Local and non-local perturbation bounds are derived for general types of matrix equations as well as for the most important equations arising in linear algebra and control theory. A large number of examples, tables and figures is included in order to illustrate the perturbation techniques and bounds Includes bibliographical references and index MATHEMATICS / Differential Equations / General bisacsh Matrices fast Perturbation (Mathematics) fast Matrizes (álgebra) larpcal Equações não lineares larpcal Perturbation (Mathematics) Matrices Matrizengleichung (DE-588)4169125-8 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf Matrizengleichung (DE-588)4169125-8 s Störungstheorie (DE-588)4128420-3 s 1\p DE-604 Konstantinov, M. M. Sonstige oth http://www.sciencedirect.com/science/book/9780444513151 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Perturbation theory for matrix equations MATHEMATICS / Differential Equations / General bisacsh Matrices fast Perturbation (Mathematics) fast Matrizes (álgebra) larpcal Equações não lineares larpcal Perturbation (Mathematics) Matrices Matrizengleichung (DE-588)4169125-8 gnd Störungstheorie (DE-588)4128420-3 gnd |
| subject_GND | (DE-588)4169125-8 (DE-588)4128420-3 |
| title | Perturbation theory for matrix equations |
| title_auth | Perturbation theory for matrix equations |
| title_exact_search | Perturbation theory for matrix equations |
| title_full | Perturbation theory for matrix equations Mihail Konstantinov [and others] |
| title_fullStr | Perturbation theory for matrix equations Mihail Konstantinov [and others] |
| title_full_unstemmed | Perturbation theory for matrix equations Mihail Konstantinov [and others] |
| title_short | Perturbation theory for matrix equations |
| title_sort | perturbation theory for matrix equations |
| topic | MATHEMATICS / Differential Equations / General bisacsh Matrices fast Perturbation (Mathematics) fast Matrizes (álgebra) larpcal Equações não lineares larpcal Perturbation (Mathematics) Matrices Matrizengleichung (DE-588)4169125-8 gnd Störungstheorie (DE-588)4128420-3 gnd |
| topic_facet | MATHEMATICS / Differential Equations / General Matrices Perturbation (Mathematics) Matrizes (álgebra) Equações não lineares Matrizengleichung Störungstheorie |
| url | http://www.sciencedirect.com/science/book/9780444513151 |
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