Spectra and pseudospectra: the behavior of nonnormal matrices and operators
Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. However, in some applications the usual analysis based on...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton ; Oxford
Princeton University Press
[2005]
© 2005 |
| Subjects: | |
| Online Access: | DE-1043 DE-1046 DE-858 DE-859 DE-860 DE-703 DE-739 Volltext |
| Summary: | Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. However, in some applications the usual analysis based on eigenvalues fails. For example, eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow, Markov chains, ecological models, and matrix iterations. That's where this book comes in. This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Each of the sixty sections is written as a self-contained essay. Each document is a lavishly illustrated introductory survey of its topic, complete with beautiful numerical experiments and all the right references. The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences |
| Item Description: | Erscheinungsjahr des E-Books: 2020 |
| Physical Description: | 1 Online-Ressource (XVII, 606 Seiten) 289 line illus. 5 tables |
| ISBN: | 9780691213101 |
| DOI: | 10.1515/9780691213101 |
Staff View
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| 520 | |a Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. However, in some applications the usual analysis based on eigenvalues fails. For example, eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow, Markov chains, ecological models, and matrix iterations. That's where this book comes in. This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Each of the sixty sections is written as a self-contained essay. Each document is a lavishly illustrated introductory survey of its topic, complete with beautiful numerical experiments and all the right references. The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences | ||
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| 650 | 4 | |a microlocal analysis | |
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| 650 | 4 | |a numerical range | |
| 650 | 4 | |a phase velocity | |
| 650 | 4 | |a pseudoeigenvector | |
| 650 | 4 | |a quantum mechanics | |
| 650 | 4 | |a semigroup | |
| 650 | 4 | |a time scales | |
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| id | DE-604.BV046761039 |
| illustrated | Illustrated |
| index_date | 2024-07-03T14:44:35Z |
| indexdate | 2025-02-19T17:28:28Z |
| institution | BVB |
| isbn | 9780691213101 |
| language | English |
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| physical | 1 Online-Ressource (XVII, 606 Seiten) 289 line illus. 5 tables |
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| spelling | Trefethen, Lloyd N. 1955- Verfasser (DE-588)135818818 aut Spectra and pseudospectra the behavior of nonnormal matrices and operators Lloyd N. Trefethen and Mark Embree Princeton ; Oxford Princeton University Press [2005] © 2005 1 Online-Ressource (XVII, 606 Seiten) 289 line illus. 5 tables txt rdacontent c rdamedia cr rdacarrier Erscheinungsjahr des E-Books: 2020 Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. However, in some applications the usual analysis based on eigenvalues fails. For example, eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow, Markov chains, ecological models, and matrix iterations. That's where this book comes in. This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Each of the sixty sections is written as a self-contained essay. Each document is a lavishly illustrated introductory survey of its topic, complete with beautiful numerical experiments and all the right references. The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences Arnoldi iteration EigTool Fresnel number Hilbert space Jordan block Lanczos iteration MATLAB. Schur decomposition Zworski, Maciej adjoint operator boundary conditions circulant matrix control theory diagonalization group velocity invariant subspace logarithmic norm microlocal analysis nonnormality numerical range phase velocity pseudoeigenvector quantum mechanics semigroup time scales variable coefficients vibration wave packet MATHEMATICS / Matrices bisacsh Differential operators Eigenvalues Spectral theory (Mathematics) Spectrum analysis Differentialoperator (DE-588)4012251-7 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Eigenwert (DE-588)4151200-5 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 s Eigenwert (DE-588)4151200-5 s Differentialoperator (DE-588)4012251-7 s DE-604 Embree, Mark 1974- Sonstige (DE-588)1012100790 oth Erscheint auch als Druck-Ausgabe 978-0-691-11946-5 https://doi.org/10.1515/9780691213101 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Trefethen, Lloyd N. 1955- Spectra and pseudospectra the behavior of nonnormal matrices and operators Arnoldi iteration EigTool Fresnel number Hilbert space Jordan block Lanczos iteration MATLAB. Schur decomposition Zworski, Maciej adjoint operator boundary conditions circulant matrix control theory diagonalization group velocity invariant subspace logarithmic norm microlocal analysis nonnormality numerical range phase velocity pseudoeigenvector quantum mechanics semigroup time scales variable coefficients vibration wave packet MATHEMATICS / Matrices bisacsh Differential operators Eigenvalues Spectral theory (Mathematics) Spectrum analysis Differentialoperator (DE-588)4012251-7 gnd Spektraltheorie (DE-588)4116561-5 gnd Eigenwert (DE-588)4151200-5 gnd |
| subject_GND | (DE-588)4012251-7 (DE-588)4116561-5 (DE-588)4151200-5 |
| title | Spectra and pseudospectra the behavior of nonnormal matrices and operators |
| title_auth | Spectra and pseudospectra the behavior of nonnormal matrices and operators |
| title_exact_search | Spectra and pseudospectra the behavior of nonnormal matrices and operators |
| title_exact_search_txtP | Spectra and pseudospectra the behavior of nonnormal matrices and operators |
| title_full | Spectra and pseudospectra the behavior of nonnormal matrices and operators Lloyd N. Trefethen and Mark Embree |
| title_fullStr | Spectra and pseudospectra the behavior of nonnormal matrices and operators Lloyd N. Trefethen and Mark Embree |
| title_full_unstemmed | Spectra and pseudospectra the behavior of nonnormal matrices and operators Lloyd N. Trefethen and Mark Embree |
| title_short | Spectra and pseudospectra |
| title_sort | spectra and pseudospectra the behavior of nonnormal matrices and operators |
| title_sub | the behavior of nonnormal matrices and operators |
| topic | Arnoldi iteration EigTool Fresnel number Hilbert space Jordan block Lanczos iteration MATLAB. Schur decomposition Zworski, Maciej adjoint operator boundary conditions circulant matrix control theory diagonalization group velocity invariant subspace logarithmic norm microlocal analysis nonnormality numerical range phase velocity pseudoeigenvector quantum mechanics semigroup time scales variable coefficients vibration wave packet MATHEMATICS / Matrices bisacsh Differential operators Eigenvalues Spectral theory (Mathematics) Spectrum analysis Differentialoperator (DE-588)4012251-7 gnd Spektraltheorie (DE-588)4116561-5 gnd Eigenwert (DE-588)4151200-5 gnd |
| topic_facet | Arnoldi iteration EigTool Fresnel number Hilbert space Jordan block Lanczos iteration MATLAB. Schur decomposition Zworski, Maciej adjoint operator boundary conditions circulant matrix control theory diagonalization group velocity invariant subspace logarithmic norm microlocal analysis nonnormality numerical range phase velocity pseudoeigenvector quantum mechanics semigroup time scales variable coefficients vibration wave packet MATHEMATICS / Matrices Differential operators Eigenvalues Spectral theory (Mathematics) Spectrum analysis Differentialoperator Spektraltheorie Eigenwert |
| url | https://doi.org/10.1515/9780691213101 |
| work_keys_str_mv | AT trefethenlloydn spectraandpseudospectrathebehaviorofnonnormalmatricesandoperators AT embreemark spectraandpseudospectrathebehaviorofnonnormalmatricesandoperators |