Core-chasing algorithms for the Eigenvalue problem:
Eigenvalue computations are ubiquitous in science and engineering. John Francis's implicitly shifted QR algorithm has been the method of choice for small to medium sized eigenvalue problems since its invention in 1959. This book presents a new view of this classical algorithm. While Francis...
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| Main Authors: | , , , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Philadelphia, Pennsylvania
SIAM, Society for Industrial and Applied Mathematics
[2018]
|
| Series: | Fundamentals of algorithms
13 |
| Subjects: | |
| Online Access: | DE-91 DE-20 DE-706 DE-29 Volltext Inhaltsverzeichnis |
| Summary: | Eigenvalue computations are ubiquitous in science and engineering. John Francis's implicitly shifted QR algorithm has been the method of choice for small to medium sized eigenvalue problems since its invention in 1959. This book presents a new view of this classical algorithm. While Francis's original procedure chases bulges, the new version chases core transformations, which allows the development of fast algorithms for eigenvalue problems with a variety of special structures. This also leads to a fast and backward stable algorithm for computing the roots of a polynomial by solving the companion matrix eigenvalue problem. The authors received a SIAM Outstanding Paper prize for this work |
| Physical Description: | 1 online resource (x, 149 Seiten) |
| ISBN: | 9781611975345 |
| DOI: | 10.1137/1.9781611975345 |
Staff View
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| 520 | |a Eigenvalue computations are ubiquitous in science and engineering. John Francis's implicitly shifted QR algorithm has been the method of choice for small to medium sized eigenvalue problems since its invention in 1959. This book presents a new view of this classical algorithm. While Francis's original procedure chases bulges, the new version chases core transformations, which allows the development of fast algorithms for eigenvalue problems with a variety of special structures. This also leads to a fast and backward stable algorithm for computing the roots of a polynomial by solving the companion matrix eigenvalue problem. The authors received a SIAM Outstanding Paper prize for this work | ||
| 650 | 4 | |a Eigenvalue computation | |
| 650 | 4 | |a QR decomposition | |
| 650 | 4 | |a QR algorithm | |
| 650 | 4 | |a Francis algorithm | |
| 650 | 4 | |a Backward stability | |
| 650 | 4 | |a Eigenvalues | |
| 650 | 4 | |a Matrices | |
| 650 | 4 | |a Algebras, Linear | |
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Record in the Search Index
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INHALT
1.
EINLEITUNG:
FRAGESTELLUNG
UND
ERKENNTNISINTERESSE
.
7
2.
DEUTSCHER
MILITAERISCHER
KUNSTSCHUTZ
IN
ITALIEN
1943-1945
ALS
METHODISCH
INHALTLICHE
SOWIE
FACH-
UND
QUELLENGESCHICHTLICHE
HERAUSFORDERUNG
.
21
2.1
NATIONALE
PERSPEKTIVEN
.
21
2.2
DEUTSCH-ITALIENISCHE
VERGANGENHEITSPOLITIKEN
NACH
1945
.
27
2.3
QUELLENLAGE
2.4
FORSCHUNGSSTAND
.
34
3.
DEUTSCHE
KUNSTGESCHICHTE
UND
AUSWAERTIGE
KULTURPOLITIK
DES
DEUTSCHEN
REICHES
IN
ITALIEN
1936-1943
IM
UEBERBLICK
.
45
3.1
KULTURPOLITIK
UND
KUNSTGESCHICHTE
IN
FLORENZ
.
54
3.2
KULTURPOLITIK
UND
KUNSTGESCHICHTE
IN
ROM
.
92
ZUSAMMENFASSUNG
*
UND
AUSBLICK
AUF
DIE
ZEIT
NACH
DEM
STURZ
MUSSOLINIS
AM
25.
JULI
UND
DER
KAPITULATION
ITALIENS
AM
8.
SEPTEMBER
1943
.
110
4-
DEUTSCHER
MILITAERISCHER
KUNSTSCHUTZ
IM
ZWEITEN
WELTKRIEG
.
123
4.1
KUNSTSCHUTZ
IN
SERBIEN
.
140
4.2
KUNSTSCHUTZ
IN
GRIECHENLAND
.
146
5.
DEUTSCHER
MILITAERISCHER
KUNSTSCHUTZ
IN
ITALIEN
1943-1945
.
153
5.1
ZWEI
REISEN
VON
FRANZ
GRAF
WOLFF-METTERNICH
.
153
5.2
DEUTSCHER
KUNSTSCHUTZ
IN
ITALIEN
AVANT
LA
LETTRE
.
161
5.3
EINRICHTUNG
UND
AUFBAU
DES
MILITAERISCHEN
KUNSTSCHUTZES
IN
ROM
.
206
5.4
DIE
ARBEIT
DES
MILITAERISCHEN
KUNSTSCHUTZES
IN
ROM
VON
ENDE
NOVEMBER
1943
BIS
ENDE
MAI
1944
-
HANDLUNGSPROFIL
HANS
GERHARD
EVERS
*
.
221
5.5
LUDWIG
HEINRICH
HEYDENREICH
UND
HERBERT
SIEBENHUENER
IN
FLORENZ
(NOVEMBER
1943
BIS
JUNI
1944)
.
229
5.6
EIN
REVIREMENT
UND
SEINE
FOLGEN:
ALEXANDER
LANGSDORFF
.
242
5.7
HEYDENREICH
IN
MAILAND
(JULI
1944
-
APRIL
1945)
.
265
5.8
DAS
WEITERE
PERSONAL
DES
MILITAERISCHEN
KUNSTSCHUTZES
IN
ITALIEN
SOWIE
IN
DEN
OPERATIONSZONEN
ALPENVORLAND
UND
ADRIATISCHES
KUESTENLAND
-
TEMPORAERE
ZUWEISUNGEN,
ANFORDERUNGEN
UND
INITIATIVBEWERBUNGEN
.
275
5.9
KUNSTWERKE:
SCHLAGLICHTER
AUF
VERMITTLUNGEN,
HINWEISE
UND
NACHFORSCHUNGEN
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296
5.10
KUNSTSCHUTZ
UND
PROPAGANDA
-
KUNSTSCHUTZ
ALS
PROPAGANDA
.
301
6.
NACHKRIEGSZEIT
.
315
6.1
NACH
KRIEGSENDE
-
DAS
JAHR
1945
.
315
6.2
EINE
SEHR
KURZE
GESCHICHTE
DES
WEISSBUCHS
.
320
6.3
INVERSIONEN:
VERHARMLOSUNG,
RELATIVIERUNG,
DISTANZIERUNG,
ABGRENZUNG,
VERDRAENGUNG
UND
TABUISIERUNG
-
EINE
SKIZZE
.
331
7.
DANK
.
341
8.
ANHANG
.
343
8.1
ABBKUERZUNGSVERZEICHNIS
.
343
8.2
QUELLENVERZEICHNIS
.
345
8.3
LITERATURVERZEICHNIS
.
357
9.
REGISTER
.
405
6
I
INHALT |
| any_adam_object | 1 |
| author | Aurentz, Jared L. Mach, Thomas Robol, Leonardo Vandebril, Raf 1978- Watkins, David S. 1948- |
| author_GND | (DE-588)1173280243 (DE-588)1173280502 (DE-588)135603331 (DE-588)140906169 |
| author_facet | Aurentz, Jared L. Mach, Thomas Robol, Leonardo Vandebril, Raf 1978- Watkins, David S. 1948- |
| author_role | aut aut aut aut aut |
| author_sort | Aurentz, Jared L. |
| author_variant | j l a jl jla t m tm l r lr r v rv d s w ds dsw |
| building | Verbundindex |
| bvnumber | BV045138544 |
| classification_rvk | SK 520 |
| collection | ZDB-72-SIA |
| ctrlnum | (OCoLC)1050944569 (DE-599)BVBBV045138544 |
| discipline | Mathematik |
| doi_str_mv | 10.1137/1.9781611975345 |
| format | Electronic eBook |
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| id | DE-604.BV045138544 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-21T00:53:01Z |
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| isbn | 9781611975345 |
| language | English |
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| psigel | ZDB-72-SIA ZDB-72-SIA TUM_Paketkauf_2018 |
| publishDate | 2018 |
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| publisher | SIAM, Society for Industrial and Applied Mathematics |
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| series | Fundamentals of algorithms |
| series2 | Fundamentals of algorithms |
| spelling | Core-chasing algorithms for the Eigenvalue problem Jared L. Aurentz ; Thomas Mach ; Leonardo Robol ; Raf Vandebril ; David S. Watkins Philadelphia, Pennsylvania SIAM, Society for Industrial and Applied Mathematics [2018] 1 online resource (x, 149 Seiten) txt rdacontent c rdamedia cr rdacarrier Fundamentals of algorithms 13 Eigenvalue computations are ubiquitous in science and engineering. John Francis's implicitly shifted QR algorithm has been the method of choice for small to medium sized eigenvalue problems since its invention in 1959. This book presents a new view of this classical algorithm. While Francis's original procedure chases bulges, the new version chases core transformations, which allows the development of fast algorithms for eigenvalue problems with a variety of special structures. This also leads to a fast and backward stable algorithm for computing the roots of a polynomial by solving the companion matrix eigenvalue problem. The authors received a SIAM Outstanding Paper prize for this work Eigenvalue computation QR decomposition QR algorithm Francis algorithm Backward stability Eigenvalues Matrices Algebras, Linear Algebras, Linear fast Eigenvalues fast Matrices fast Eigenwertproblem (DE-588)4013802-1 gnd rswk-swf Eigenwertproblem (DE-588)4013802-1 s DE-604 Aurentz, Jared L. (DE-588)1173280243 aut Mach, Thomas aut Robol, Leonardo (DE-588)1173280502 aut Vandebril, Raf 1978- (DE-588)135603331 aut Watkins, David S. 1948- (DE-588)140906169 aut Erscheint auch als Druck-Ausgabe 978-1-61197-533-8 Fundamentals of algorithms 13 (DE-604)BV046811132 13 https://doi.org/10.1137/1.9781611975345 Verlag URL des Erstveröffentlichers Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030528404&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Aurentz, Jared L. Mach, Thomas Robol, Leonardo Vandebril, Raf 1978- Watkins, David S. 1948- Core-chasing algorithms for the Eigenvalue problem Fundamentals of algorithms Eigenvalue computation QR decomposition QR algorithm Francis algorithm Backward stability Eigenvalues Matrices Algebras, Linear Algebras, Linear fast Eigenvalues fast Matrices fast Eigenwertproblem (DE-588)4013802-1 gnd |
| subject_GND | (DE-588)4013802-1 |
| title | Core-chasing algorithms for the Eigenvalue problem |
| title_auth | Core-chasing algorithms for the Eigenvalue problem |
| title_exact_search | Core-chasing algorithms for the Eigenvalue problem |
| title_full | Core-chasing algorithms for the Eigenvalue problem Jared L. Aurentz ; Thomas Mach ; Leonardo Robol ; Raf Vandebril ; David S. Watkins |
| title_fullStr | Core-chasing algorithms for the Eigenvalue problem Jared L. Aurentz ; Thomas Mach ; Leonardo Robol ; Raf Vandebril ; David S. Watkins |
| title_full_unstemmed | Core-chasing algorithms for the Eigenvalue problem Jared L. Aurentz ; Thomas Mach ; Leonardo Robol ; Raf Vandebril ; David S. Watkins |
| title_short | Core-chasing algorithms for the Eigenvalue problem |
| title_sort | core chasing algorithms for the eigenvalue problem |
| topic | Eigenvalue computation QR decomposition QR algorithm Francis algorithm Backward stability Eigenvalues Matrices Algebras, Linear Algebras, Linear fast Eigenvalues fast Matrices fast Eigenwertproblem (DE-588)4013802-1 gnd |
| topic_facet | Eigenvalue computation QR decomposition QR algorithm Francis algorithm Backward stability Eigenvalues Matrices Algebras, Linear Eigenwertproblem |
| url | https://doi.org/10.1137/1.9781611975345 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030528404&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV046811132 |
| work_keys_str_mv | AT aurentzjaredl corechasingalgorithmsfortheeigenvalueproblem AT machthomas corechasingalgorithmsfortheeigenvalueproblem AT robolleonardo corechasingalgorithmsfortheeigenvalueproblem AT vandebrilraf corechasingalgorithmsfortheeigenvalueproblem AT watkinsdavids corechasingalgorithmsfortheeigenvalueproblem |