Model order reduction by Krylov subspace methods with global error bounds and automatic choice of parameters:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
München
Verlag Dr. Hut
2014
|
| Ausgabe: | 1. Auflage |
| Schriftenreihe: | Ingenieurwissenschaften
|
| Schlagworte: | |
| Online-Zugang: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20140916-1207822-0-0 Inhaltsverzeichnis |
| Beschreibung: | XVIII, 170 Seiten Diagramme |
| ISBN: | 9783843918527 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV042277027 | ||
| 003 | DE-604 | ||
| 005 | 20171127 | ||
| 007 | t | ||
| 008 | 150119s2014 |||| m||| 00||| eng d | ||
| 020 | |a 9783843918527 |9 978-3-8439-1852-7 | ||
| 035 | |a (OCoLC)899163059 | ||
| 035 | |a (DE-599)BVBBV042277027 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-473 |a DE-703 |a DE-1051 |a DE-824 |a DE-29 |a DE-12 |a DE-91 |a DE-19 |a DE-1049 |a DE-92 |a DE-739 |a DE-898 |a DE-355 |a DE-706 |a DE-20 |a DE-1102 |a DE-91G |a DE-29T | ||
| 082 | 0 | |a 510 | |
| 084 | |a MAT 032d |2 stub | ||
| 084 | |a MTA 009d |2 stub | ||
| 100 | 1 | |a Panzer, Heiko K. F. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Model order reduction by Krylov subspace methods with global error bounds and automatic choice of parameters |c Heiko K. F. Panzer |
| 250 | |a 1. Auflage | ||
| 264 | 1 | |a München |b Verlag Dr. Hut |c 2014 | |
| 300 | |a XVIII, 170 Seiten |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Ingenieurwissenschaften | |
| 502 | |b Dissertation |c Technische Universität München |d 2014 | ||
| 650 | 0 | 7 | |a Lineares zeitinvariantes System |0 (DE-588)4213494-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ordnungsreduktion |0 (DE-588)4136085-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Krylov-Verfahren |0 (DE-588)4425226-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Fehlerschranke |0 (DE-588)4199964-2 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Lineares zeitinvariantes System |0 (DE-588)4213494-8 |D s |
| 689 | 0 | 1 | |a Krylov-Verfahren |0 (DE-588)4425226-2 |D s |
| 689 | 0 | 2 | |a Ordnungsreduktion |0 (DE-588)4136085-0 |D s |
| 689 | 0 | 3 | |a Fehlerschranke |0 (DE-588)4199964-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |o urn:nbn:de:bvb:91-diss-20140916-1207822-0-0 |
| 856 | 4 | 1 | |u https://mediatum.ub.tum.de/node?id=1207822 |x Verlag |z kostenfrei |3 Volltext |
| 856 | 4 | |u https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20140916-1207822-0-0 |x Resolving-System | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027714470&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 912 | |a ebook | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027714470 | ||
Datensatz im Suchindex
| _version_ | 1804152839453278208 |
|---|---|
| adam_text | CONTENTS
LIST OF FIGURES XIV
LIST OF MATLAB SOURCE CODE LISTINGS XV
GLOSSARY XVII
1 INTRODUCTION 1
1.1 A SHORT MOTIVATION OF MODEL REDUCTION 1
1.2 DISSERTATION GOALS AND OVERVIEW 3
1.2.1 OBJECTIVES AND CLASSIFICATION 4
1.2.2 WHY LINEAR TIME INVARIANT MODELS?! 5
1.2.3
OUTLINE 6
1.2.4 ACKNOWLEDGMENT OF FOREIGN SCIENTIFIC CONTRIBUTIONS 7
1.2.5 MATLAB SOURCE CODE LISTINGS 8
1.2.6 BENCHMARK EXAMPLES 9
2 PRELIMINARIES 13
2.1 F INDAMENTALS FROM LTI SYSTEM THEORY 13
2.1.1
STATE SPACE MODELS 13
2.1.2 TRANSFER FUNCTION AND IMPULSE RESPONSE 14
2.1.3 CONTROLLABILITY, OBSERVABILITY} AND MINIMAL REALIZATIONS 15
2.1.4 INVARIANT ZEROS 16
2.1.5 SYSTEM NORMS AND GRAMIAN MATRICES 16
2.1.6 ALL-PASS SYSTEMS 17
2.2 (STRICT) DISSIPATIVITY AND THE MATRIX MEASURE 18
2.2.1 BASIC RESULTS 18
2.2.2 GENERALIZATION TOWARDS SYMMETRIC POSITIVE DEFINITE E 19
2.2.3 PROPERTIES AND RETRIEVAL OF STRICTLY DISSIPATIVC REALIZATIONS ....
21
HTTP://D-NB.INFO/1062935020
X CONTENTS
2.2.4 COMPUTING THE MATRIX MEASURE :* * * * 23
2.3 PROJECTIVE MOR 24
2.3.1 PCTROV-GALCRKIN APPROXIMATION 24
2.3.2 ERROR MODEL AND ERROR NORMS 26
2.3.3 INVARIANCE PROPERTIES 26
2.4 STATE OF THE ART AND PROBLEM FORMULATION 27
2.4.1 GENERAL OBJECTIVES AND CHALLENGES 27
2.4.2 SOME SELECTED MODEL REDUCTION TECHNIQUES 27
3 MODEL REDUCTION BASED ON SYLVESTER EQUATIONS 31
3.1 HISTORICAL REMARK: MULTIPOINT-PADE, RATIONAL KRYLOV, AND SYLVESTER
EQUATIONS 31
3.2 PROJECTIVE MOR AND SYLVESTER EQUATIONS 32
3.2.1 TRANSFORMATIONS OF SYLVESTER EQUATIONS 33
3.2.2 PARTICULAR SYLVESTER EQUATIONS 34
3.2.3 RELATED MODEL REDUCTION TECHNIQUES 37
3.2.4 IMPORTANT PROPERTIES 39
3.2.5 JUDICIOUS IMPLEMENTATION 40
3.3 A NOVEL FORMULATION OF THE SYLVESTER EQUATION 43
3.4 EXCURSUS: SOLVING LINEAR SYSTEMS OF EQUATIONS 44
3.5 HOW TO CHOOSE THE EXPANSION POINTS? 45
3.6 HI MODEL REDUCTION 47
3.6.1 A SHORT SURVEY 47
3.6.2 DEFINITION OF LOCAL % OPTIMALLY AND PSEUDO-OPTIMALITY 47
3.6.3 AN ITERATIVE RATIONAL KRYLOV ALGORITHM (IRKA) 49
3.6.4 DESCENT ALGORITHMS 50
3.6.5 PSEUDO-OPTIMAL RATIONAL KRYLOV (PORK) 51
3.7 CONCLUSIONS AND OPEN PROBLEMS 55
4 CURE: A CUMULATIVE REDUCTION SCHEME 57
4.1 STATE OF THE ART 58
4.2 A FACTORIZED FORMULATION OF THE ERROR SYSTEM 59
CONTENTS XI
4.2.1 MOTIVATION. .; 59
4.2.2 FACTORIZATION BASED ON SYLVESTER EQUATION 60
4.2.3 PROPERTIES, SPECIAL CASES, AND FEATURES 62
4.3 ADAPTIVE MODEL ORDER REDUCTION 64
4.3.1 ITERATIVE ERROR FACTORIZATION 65
4.3.2 IMPLEMENTATION 70
4.3.3 PROPERTIES 72
4.3.4 CURED IRKA 73
4.4 SPARK: A STABILITY-PRESERVING, ADAPTIVE RATIONED KRYLOV ALGORITHM
... 75
4.4.1 OPTIMIZATION-BASED COMPUTATION OF SHIFTS 75
4.4.2 ENHANCED FORMULATION OF SPARK 78
4.4.3 ANALYTIC GRADIENT AND HESSIAN 79
4.4.4 SPEED-UP DUE TO MODEL FUNCTION 83
4.4.5 PRECONDITIONING AND FURTHER NUMERICAL ASPECTS 87
4.5 GENERALIZATION OF MESPARK TO MIMO SYSTEMS 90
5 RIGOROUS ERROR ESTIMATION IN KRYLOV SUBSPACE METHODS
93
5.1 STATE OF THE ART
94
5.2 EXPLOITING THE FACTORIZATION OF THE ERROR SYSTEM
97
5.3 GLOBAL ERROR BOUND FOR SYSTEMS IN STRICTLY DISSIPATIVE REALIZATION .
. . 100
5.3.1 UPPER BOUND ON HI NORM OF GJ. 100
5.3.2 ANALYSIS AND REMARKS ON IMPLEMENTATION 102
5.3.3 RELATIVE % ERROR DOUND 103
5.3.4 TIME DOMAIN ENVELOPES 105
5.4 GLOBAL TIOO ERROR BOUND FOR SYSTEMS IN STRICTLY DISSIPATIVE
REALIZATION . . 106
5.4.1 UPPER BOUND ON HO NORM 106
5.4.2 REMARKS AND IMPLEMENTATION 106
5.4.3 RELATIVE ERROR BOUND 106
5.5 ERROR-CONTROLLED MODEL REDUCTION 108
5.5.1 CHANGE OF PARADIGM 108
5.5.2 HOW TO CONTROL OVCRCSTIMATION OF H.I ERROR BOUND 110
5.5.3 HOW TO CONTROL OVERESTIMATION OF HERROR B.OUND 113
XII
CONTENTS
5.6 OPTIMIZATION-BASED DECREASE OF ERROR BOUNDS 115
5.6.1 OPTIMIZATION OF ERROR BOUND 115
5.6.2 OPTIMIZATION OF HOO
ERROR BOUND 117
6 EXAMPLE OF USE: SECOND ORDER SYSTEMS 119
6.1 PRELIMINARIES ON SECOND ORDER SYSTEMS 119
6.2 STRICTLY DISSIPATIVE STATE SPACE REALIZATIONS OF SECOND ORDER
SYSTEMS . . . 120
6.3 EFFICIENT APPLICATION OF STATE SPACE METHODS 124
6.3.1 COMPUTATION OF KRYLOV SUBSPACES 124
6.3.2 INVARIANCE PROPERTIES IN SYLVESTER MODEL REDUCTION 127
6.3.3 ERROR DECOMPOSITION 128
6.3.4 EVALUATION OF H2 AND HOO
ERROR BOUNDS 129
6.3.5 COMPUTATION OF GENERALIZED SPECTRAL ABSCISSA 133
6.3.6 DEPENDENCY OF THE ERROR BOUNDS ON 7 134
7 NUMERICAL EXAMPLES 137
7.1 SPIRAL INDUCTOR 137
7.2 FLOW METER 139
7.3 STEEL PROFILE 140
7.4 ACOUSTIC FIELD IN
GAS
TURBINE COMBUSTOR
141
7.5
POWER SYSTEM 144
8 SUMMARY, CONCLUSIONS, AND OUTLOOK 145
A APPENDIX 149
A.L PROOF OF THEOREM
4.3 149
A.2 PROOF OF THEOREM 5.2 152
A.3 MATLAB SOURCE CODE FILES 154
REFERENCES 157
|
| any_adam_object | 1 |
| author | Panzer, Heiko K. F. |
| author_facet | Panzer, Heiko K. F. |
| author_role | aut |
| author_sort | Panzer, Heiko K. F. |
| author_variant | h k f p hkf hkfp |
| building | Verbundindex |
| bvnumber | BV042277027 |
| classification_tum | MAT 032d MTA 009d |
| collection | ebook |
| ctrlnum | (OCoLC)899163059 (DE-599)BVBBV042277027 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| edition | 1. Auflage |
| format | Thesis Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02314nam a2200505 c 4500</leader><controlfield tag="001">BV042277027</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20171127 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">150119s2014 |||| m||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783843918527</subfield><subfield code="9">978-3-8439-1852-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)899163059</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042277027</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-384</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-1051</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-1049</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-898</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-1102</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-29T</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 032d</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MTA 009d</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Panzer, Heiko K. F.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Model order reduction by Krylov subspace methods with global error bounds and automatic choice of parameters</subfield><subfield code="c">Heiko K. F. Panzer</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. Auflage</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">München</subfield><subfield code="b">Verlag Dr. Hut</subfield><subfield code="c">2014</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVIII, 170 Seiten</subfield><subfield code="b">Diagramme</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Ingenieurwissenschaften</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="b">Dissertation</subfield><subfield code="c">Technische Universität München</subfield><subfield code="d">2014</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lineares zeitinvariantes System</subfield><subfield code="0">(DE-588)4213494-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Ordnungsreduktion</subfield><subfield code="0">(DE-588)4136085-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Krylov-Verfahren</subfield><subfield code="0">(DE-588)4425226-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Fehlerschranke</subfield><subfield code="0">(DE-588)4199964-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Lineares zeitinvariantes System</subfield><subfield code="0">(DE-588)4213494-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Krylov-Verfahren</subfield><subfield code="0">(DE-588)4425226-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Ordnungsreduktion</subfield><subfield code="0">(DE-588)4136085-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Fehlerschranke</subfield><subfield code="0">(DE-588)4199964-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="o">urn:nbn:de:bvb:91-diss-20140916-1207822-0-0</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://mediatum.ub.tum.de/node?id=1207822</subfield><subfield code="x">Verlag</subfield><subfield code="z">kostenfrei</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20140916-1207822-0-0</subfield><subfield code="x">Resolving-System</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027714470&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ebook</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027714470</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV042277027 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:17:05Z |
| institution | BVB |
| isbn | 9783843918527 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027714470 |
| oclc_num | 899163059 |
| open_access_boolean | 1 |
| owner | DE-384 DE-473 DE-BY-UBG DE-703 DE-1051 DE-824 DE-29 DE-12 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-1049 DE-92 DE-739 DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-706 DE-20 DE-1102 DE-91G DE-BY-TUM DE-29T |
| owner_facet | DE-384 DE-473 DE-BY-UBG DE-703 DE-1051 DE-824 DE-29 DE-12 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-1049 DE-92 DE-739 DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-706 DE-20 DE-1102 DE-91G DE-BY-TUM DE-29T |
| physical | XVIII, 170 Seiten Diagramme |
| psigel | ebook |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Verlag Dr. Hut |
| record_format | marc |
| series2 | Ingenieurwissenschaften |
| spelling | Panzer, Heiko K. F. Verfasser aut Model order reduction by Krylov subspace methods with global error bounds and automatic choice of parameters Heiko K. F. Panzer 1. Auflage München Verlag Dr. Hut 2014 XVIII, 170 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Ingenieurwissenschaften Dissertation Technische Universität München 2014 Lineares zeitinvariantes System (DE-588)4213494-8 gnd rswk-swf Ordnungsreduktion (DE-588)4136085-0 gnd rswk-swf Krylov-Verfahren (DE-588)4425226-2 gnd rswk-swf Fehlerschranke (DE-588)4199964-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Lineares zeitinvariantes System (DE-588)4213494-8 s Krylov-Verfahren (DE-588)4425226-2 s Ordnungsreduktion (DE-588)4136085-0 s Fehlerschranke (DE-588)4199964-2 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:91-diss-20140916-1207822-0-0 https://mediatum.ub.tum.de/node?id=1207822 Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20140916-1207822-0-0 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027714470&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Panzer, Heiko K. F. Model order reduction by Krylov subspace methods with global error bounds and automatic choice of parameters Lineares zeitinvariantes System (DE-588)4213494-8 gnd Ordnungsreduktion (DE-588)4136085-0 gnd Krylov-Verfahren (DE-588)4425226-2 gnd Fehlerschranke (DE-588)4199964-2 gnd |
| subject_GND | (DE-588)4213494-8 (DE-588)4136085-0 (DE-588)4425226-2 (DE-588)4199964-2 (DE-588)4113937-9 |
| title | Model order reduction by Krylov subspace methods with global error bounds and automatic choice of parameters |
| title_auth | Model order reduction by Krylov subspace methods with global error bounds and automatic choice of parameters |
| title_exact_search | Model order reduction by Krylov subspace methods with global error bounds and automatic choice of parameters |
| title_full | Model order reduction by Krylov subspace methods with global error bounds and automatic choice of parameters Heiko K. F. Panzer |
| title_fullStr | Model order reduction by Krylov subspace methods with global error bounds and automatic choice of parameters Heiko K. F. Panzer |
| title_full_unstemmed | Model order reduction by Krylov subspace methods with global error bounds and automatic choice of parameters Heiko K. F. Panzer |
| title_short | Model order reduction by Krylov subspace methods with global error bounds and automatic choice of parameters |
| title_sort | model order reduction by krylov subspace methods with global error bounds and automatic choice of parameters |
| topic | Lineares zeitinvariantes System (DE-588)4213494-8 gnd Ordnungsreduktion (DE-588)4136085-0 gnd Krylov-Verfahren (DE-588)4425226-2 gnd Fehlerschranke (DE-588)4199964-2 gnd |
| topic_facet | Lineares zeitinvariantes System Ordnungsreduktion Krylov-Verfahren Fehlerschranke Hochschulschrift |
| url | https://mediatum.ub.tum.de/node?id=1207822 https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20140916-1207822-0-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027714470&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT panzerheikokf modelorderreductionbykrylovsubspacemethodswithglobalerrorboundsandautomaticchoiceofparameters |