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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton ; Oxford
Princeton University Press
[2005]
© 2005 |
| Schlagworte: | |
| Online-Zugang: | FAB01 FAW01 FCO01 FHA01 FKE01 FLA01 UBT01 UPA01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Erscheinungsjahr des E-Books: 2020 |
| Beschreibung: | 1 Online-Ressource (XVII, 606 Seiten) 289 line illus. 5 tables |
| ISBN: | 9780691213101 |
| DOI: | 10.1515/9780691213101 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV046761039 | ||
| 003 | DE-604 | ||
| 005 | 20230224 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 200615s2005 |||| o||u| ||||||eng d | ||
| 020 | |a 9780691213101 |c Online |9 978-0-691-21310-1 | ||
| 024 | 7 | |a 10.1515/9780691213101 |2 doi | |
| 035 | |a (ZDB-23-DGG)9780691213101 | ||
| 035 | |a (OCoLC)1164627256 | ||
| 035 | |a (DE-599)BVBBV046761039 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-1046 |a DE-Aug4 |a DE-859 |a DE-860 |a DE-739 |a DE-1043 |a DE-858 |a DE-703 | ||
| 082 | 0 | |a 530.15/57222 |2 22 | |
| 084 | |a SK 620 |0 (DE-625)143249: |2 rvk | ||
| 100 | 1 | |a Trefethen, Lloyd N. |d 1955- |e Verfasser |0 (DE-588)135818818 |4 aut | |
| 245 | 1 | 0 | |a Spectra and pseudospectra |b the behavior of nonnormal matrices and operators |c Lloyd N. Trefethen and Mark Embree |
| 264 | 1 | |a Princeton ; Oxford |b Princeton University Press |c [2005] | |
| 264 | 1 | |c © 2005 | |
| 300 | |a 1 Online-Ressource (XVII, 606 Seiten) |b 289 line illus. 5 tables | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Erscheinungsjahr des E-Books: 2020 | ||
| 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 | ||
| 650 | 4 | |a Arnoldi iteration | |
| 650 | 4 | |a EigTool | |
| 650 | 4 | |a Fresnel number | |
| 650 | 4 | |a Hilbert space | |
| 650 | 4 | |a Jordan block | |
| 650 | 4 | |a Lanczos iteration | |
| 650 | 4 | |a MATLAB. | |
| 650 | 4 | |a Schur decomposition | |
| 650 | 4 | |a Zworski, Maciej | |
| 650 | 4 | |a adjoint operator | |
| 650 | 4 | |a boundary conditions | |
| 650 | 4 | |a circulant matrix | |
| 650 | 4 | |a control theory | |
| 650 | 4 | |a diagonalization | |
| 650 | 4 | |a group velocity | |
| 650 | 4 | |a invariant subspace | |
| 650 | 4 | |a logarithmic norm | |
| 650 | 4 | |a microlocal analysis | |
| 650 | 4 | |a nonnormality | |
| 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 | |
| 650 | 4 | |a variable coefficients | |
| 650 | 4 | |a vibration | |
| 650 | 4 | |a wave packet | |
| 650 | 7 | |a MATHEMATICS / Matrices |2 bisacsh | |
| 650 | 4 | |a Differential operators | |
| 650 | 4 | |a Eigenvalues | |
| 650 | 4 | |a Spectral theory (Mathematics) | |
| 650 | 4 | |a Spectrum analysis | |
| 650 | 0 | 7 | |a Differentialoperator |0 (DE-588)4012251-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Spektraltheorie |0 (DE-588)4116561-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Eigenwert |0 (DE-588)4151200-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Spektraltheorie |0 (DE-588)4116561-5 |D s |
| 689 | 0 | 1 | |a Eigenwert |0 (DE-588)4151200-5 |D s |
| 689 | 0 | 2 | |a Differentialoperator |0 (DE-588)4012251-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Embree, Mark |d 1974- |e Sonstige |0 (DE-588)1012100790 |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-0-691-11946-5 |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9780691213101 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-23-DGG | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-032170575 | ||
| 966 | e | |u https://doi.org/10.1515/9780691213101?locatt=mode:legacy |l FAB01 |p ZDB-23-DGG |q FAB_PDA_DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9780691213101?locatt=mode:legacy |l FAW01 |p ZDB-23-DGG |q FAW_PDA_DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9780691213101?locatt=mode:legacy |l FCO01 |p ZDB-23-DGG |q FCO_PDA_DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9780691213101?locatt=mode:legacy |l FHA01 |p ZDB-23-DGG |q FHA_PDA_DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9780691213101?locatt=mode:legacy |l FKE01 |p ZDB-23-DGG |q FKE_PDA_DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9780691213101?locatt=mode:legacy |l FLA01 |p ZDB-23-DGG |q FLA_PDA_DGG |x Verlag |3 Volltext | |
| 966 | e | |u https://www.degruyter.com/document/doi/10.1515/9780691213101/html?locatt=mode:legacy |l UBT01 |p ZDB-23-DGG |q UBT_Einzelkauf_2023 |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1515/9780691213101?locatt=mode:legacy |l UPA01 |p ZDB-23-DGG |q UPA_PDA_DGG |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804181527049797632 |
|---|---|
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| author | Trefethen, Lloyd N. 1955- |
| author_GND | (DE-588)135818818 (DE-588)1012100790 |
| author_facet | Trefethen, Lloyd N. 1955- |
| author_role | aut |
| author_sort | Trefethen, Lloyd N. 1955- |
| author_variant | l n t ln lnt |
| building | Verbundindex |
| bvnumber | BV046761039 |
| classification_rvk | SK 620 |
| collection | ZDB-23-DGG |
| ctrlnum | (ZDB-23-DGG)9780691213101 (OCoLC)1164627256 (DE-599)BVBBV046761039 |
| dewey-full | 530.15/57222 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15/57222 |
| dewey-search | 530.15/57222 |
| dewey-sort | 3530.15 557222 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| discipline_str_mv | Physik Mathematik |
| doi_str_mv | 10.1515/9780691213101 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04953nmm a2200961zc 4500</leader><controlfield tag="001">BV046761039</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230224 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">200615s2005 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780691213101</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-691-21310-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9780691213101</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-23-DGG)9780691213101</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1164627256</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV046761039</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1046</subfield><subfield code="a">DE-Aug4</subfield><subfield code="a">DE-859</subfield><subfield code="a">DE-860</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-1043</subfield><subfield code="a">DE-858</subfield><subfield code="a">DE-703</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.15/57222</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 620</subfield><subfield code="0">(DE-625)143249:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Trefethen, Lloyd N.</subfield><subfield code="d">1955-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)135818818</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Spectra and pseudospectra</subfield><subfield code="b">the behavior of nonnormal matrices and operators</subfield><subfield code="c">Lloyd N. Trefethen and Mark Embree</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton ; Oxford</subfield><subfield code="b">Princeton University Press</subfield><subfield code="c">[2005]</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">© 2005</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XVII, 606 Seiten)</subfield><subfield code="b">289 line illus. 5 tables</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Erscheinungsjahr des E-Books: 2020</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Arnoldi iteration</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">EigTool</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fresnel number</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hilbert space</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Jordan block</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lanczos iteration</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">MATLAB.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Schur decomposition</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Zworski, Maciej</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">adjoint operator</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">boundary conditions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">circulant matrix</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">control theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">diagonalization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">group velocity</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">invariant subspace</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">logarithmic norm</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">microlocal analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">nonnormality</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">numerical range</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">phase velocity</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">pseudoeigenvector</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">quantum mechanics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">semigroup</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">time scales</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">variable coefficients</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">vibration</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">wave packet</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Matrices</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential operators</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Eigenvalues</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Spectral theory (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Spectrum analysis</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialoperator</subfield><subfield code="0">(DE-588)4012251-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Spektraltheorie</subfield><subfield code="0">(DE-588)4116561-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Eigenwert</subfield><subfield code="0">(DE-588)4151200-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Spektraltheorie</subfield><subfield code="0">(DE-588)4116561-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Eigenwert</subfield><subfield code="0">(DE-588)4151200-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Differentialoperator</subfield><subfield code="0">(DE-588)4012251-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Embree, Mark</subfield><subfield code="d">1974-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)1012100790</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-0-691-11946-5</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9780691213101</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-032170575</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9780691213101?locatt=mode:legacy</subfield><subfield code="l">FAB01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FAB_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9780691213101?locatt=mode:legacy</subfield><subfield code="l">FAW01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FAW_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9780691213101?locatt=mode:legacy</subfield><subfield code="l">FCO01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FCO_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9780691213101?locatt=mode:legacy</subfield><subfield code="l">FHA01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FHA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9780691213101?locatt=mode:legacy</subfield><subfield code="l">FKE01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FKE_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9780691213101?locatt=mode:legacy</subfield><subfield code="l">FLA01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">FLA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://www.degruyter.com/document/doi/10.1515/9780691213101/html?locatt=mode:legacy</subfield><subfield code="l">UBT01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">UBT_Einzelkauf_2023</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9780691213101?locatt=mode:legacy</subfield><subfield code="l">UPA01</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">UPA_PDA_DGG</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV046761039 |
| illustrated | Illustrated |
| index_date | 2024-07-03T14:44:35Z |
| indexdate | 2024-07-10T08:53:04Z |
| institution | BVB |
| isbn | 9780691213101 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032170575 |
| oclc_num | 1164627256 |
| open_access_boolean | |
| owner | DE-1046 DE-Aug4 DE-859 DE-860 DE-739 DE-1043 DE-858 DE-703 |
| owner_facet | DE-1046 DE-Aug4 DE-859 DE-860 DE-739 DE-1043 DE-858 DE-703 |
| physical | 1 Online-Ressource (XVII, 606 Seiten) 289 line illus. 5 tables |
| psigel | ZDB-23-DGG ZDB-23-DGG FAB_PDA_DGG ZDB-23-DGG FAW_PDA_DGG ZDB-23-DGG FCO_PDA_DGG ZDB-23-DGG FHA_PDA_DGG ZDB-23-DGG FKE_PDA_DGG ZDB-23-DGG FLA_PDA_DGG ZDB-23-DGG UBT_Einzelkauf_2023 ZDB-23-DGG UPA_PDA_DGG |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Princeton University Press |
| record_format | marc |
| 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 |