Numerical linear algebra:
Introduction -- Linear systems and finite precision arithmetic -- Gaussian elimination -- Norms and error analysis -- The MPP and the curse of dimensionality -- Iterative methods -- Solving Ax = b by optimization -- The conjugate gradient method -- Eigenvalue problems
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2020]
|
| Schlagworte: | |
| Online-Zugang: | TUM01 |
| Zusammenfassung: | Introduction -- Linear systems and finite precision arithmetic -- Gaussian elimination -- Norms and error analysis -- The MPP and the curse of dimensionality -- Iterative methods -- Solving Ax = b by optimization -- The conjugate gradient method -- Eigenvalue problems "Many students come to numerical linear algebra from science and engineering seeking modern tools and an understanding of how the tools work and their limitations. Often their backgrounds and experience are extensive in applications of numerical methods but limited in abstract mathematics and matrix theory. Often enough it is limited to multivariable calculus, basic differential equations and methods of applied mathematics. This book introduces modern tools of numerical linear algebra based on this background, heavy in applied analysis but light in matrix canonical forms and their algebraic properties. Each topic is presented as algorithmic ideas and through a foundation based on mostly applied analysis. By picking a path through the book appropriate for the level, it has been used for both senior level undergraduates and beginning graduate classes with students from diverse fields and backgrounds"--Publisher's website |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | 1 Online-Ressource Diagramme |
| Format: | Mode of access: World Wide Web System requirements: Adobe Acrobat Reader |
| ISBN: | 9789811223907 9789811223914 |
Internformat
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| 520 | 3 | |a "Many students come to numerical linear algebra from science and engineering seeking modern tools and an understanding of how the tools work and their limitations. Often their backgrounds and experience are extensive in applications of numerical methods but limited in abstract mathematics and matrix theory. Often enough it is limited to multivariable calculus, basic differential equations and methods of applied mathematics. This book introduces modern tools of numerical linear algebra based on this background, heavy in applied analysis but light in matrix canonical forms and their algebraic properties. Each topic is presented as algorithmic ideas and through a foundation based on mostly applied analysis. By picking a path through the book appropriate for the level, it has been used for both senior level undergraduates and beginning graduate classes with students from diverse fields and backgrounds"--Publisher's website | |
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Datensatz im Suchindex
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Electronic eBook |
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| index_date | 2024-07-03T18:10:02Z |
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| isbn | 9789811223907 9789811223914 |
| language | English |
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| spelling | Layton, William J. Verfasser (DE-588)1020165960 aut Numerical linear algebra William Layton, Myron Sussman New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2020] 1 Online-Ressource Diagramme txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index Introduction -- Linear systems and finite precision arithmetic -- Gaussian elimination -- Norms and error analysis -- The MPP and the curse of dimensionality -- Iterative methods -- Solving Ax = b by optimization -- The conjugate gradient method -- Eigenvalue problems "Many students come to numerical linear algebra from science and engineering seeking modern tools and an understanding of how the tools work and their limitations. Often their backgrounds and experience are extensive in applications of numerical methods but limited in abstract mathematics and matrix theory. Often enough it is limited to multivariable calculus, basic differential equations and methods of applied mathematics. This book introduces modern tools of numerical linear algebra based on this background, heavy in applied analysis but light in matrix canonical forms and their algebraic properties. Each topic is presented as algorithmic ideas and through a foundation based on mostly applied analysis. By picking a path through the book appropriate for the level, it has been used for both senior level undergraduates and beginning graduate classes with students from diverse fields and backgrounds"--Publisher's website Mode of access: World Wide Web System requirements: Adobe Acrobat Reader Numerische lineare Algebra (DE-588)1172564329 gnd rswk-swf Algebras, Linear Numerical analysis Electronic books Numerische lineare Algebra (DE-588)1172564329 s DE-604 Sussman, Myron Verfasser (DE-588)1217500812 aut Erscheint auch als Druck-Ausgabe, Hardcover 978-981-122-389-1 Erscheint auch als Druck-Ausgabe, Paperback 978-981-122-484-3 |
| spellingShingle | Layton, William J. Sussman, Myron Numerical linear algebra Numerische lineare Algebra (DE-588)1172564329 gnd |
| subject_GND | (DE-588)1172564329 |
| title | Numerical linear algebra |
| title_auth | Numerical linear algebra |
| title_exact_search | Numerical linear algebra |
| title_exact_search_txtP | Numerical linear algebra |
| title_full | Numerical linear algebra William Layton, Myron Sussman |
| title_fullStr | Numerical linear algebra William Layton, Myron Sussman |
| title_full_unstemmed | Numerical linear algebra William Layton, Myron Sussman |
| title_short | Numerical linear algebra |
| title_sort | numerical linear algebra |
| topic | Numerische lineare Algebra (DE-588)1172564329 gnd |
| topic_facet | Numerische lineare Algebra |
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