Iterative regularization methods for nonlinear ill-posed problems:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
De Gruyter
2008
|
| Schriftenreihe: | Radon series on computational and applied mathematics
6 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016496138&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | VIII, 194 S. graph. Darst. |
| ISBN: | 9783110204209 |
Internformat
MARC
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| 008 | 080526s2008 xx d||| |||| 00||| eng d | ||
| 020 | |a 9783110204209 |9 978-3-11-020420-9 | ||
| 035 | |a (OCoLC)232124307 | ||
| 035 | |a (DE-599)BSZ27864581X | ||
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| 084 | |a SK 910 |0 (DE-625)143270: |2 rvk | ||
| 100 | 1 | |a Kaltenbacher, Barbara |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Iterative regularization methods for nonlinear ill-posed problems |c Barbara Kaltenbacher ; Andreas Neubauer ; Otmar Scherzer |
| 264 | 1 | |a Berlin [u.a.] |b De Gruyter |c 2008 | |
| 300 | |a VIII, 194 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Radon series on computational and applied mathematics |v 6 | |
| 650 | 4 | |a Differential equations, Partial |x Improperly posed problems | |
| 650 | 4 | |a Iterative methods (Mathematics) | |
| 650 | 0 | 7 | |a Iteration |0 (DE-588)4123457-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineares inverses Problem |0 (DE-588)4453043-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Regularisierungsverfahren |0 (DE-588)4846428-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Inkorrekt gestelltes Problem |0 (DE-588)4186951-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtlineares inverses Problem |0 (DE-588)4453043-2 |D s |
| 689 | 0 | 1 | |a Inkorrekt gestelltes Problem |0 (DE-588)4186951-5 |D s |
| 689 | 0 | 2 | |a Regularisierungsverfahren |0 (DE-588)4846428-4 |D s |
| 689 | 0 | 3 | |a Iteration |0 (DE-588)4123457-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Neubauer, Andreas |e Verfasser |4 aut | |
| 700 | 1 | |a Scherzer, Otmar |d 1964- |e Verfasser |0 (DE-588)120650053 |4 aut | |
| 830 | 0 | |a Radon series on computational and applied mathematics |v 6 |w (DE-604)BV023335470 |9 6 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016496138&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-016496138 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 677 2008 A 4435 |
|---|---|
| DE-BY-TUM_katkey | 1633167 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010091962 |
| _version_ | 1821931790577696769 |
| adam_text | Contents
Preface
....................................
v
1
Introduction
............................... 1
1.1
Régularisation
methods
....................... 2
1.2
Iterative regularization methods
.................. 3
2
Nonlinear
Landweber
iteration
.................... 5
2.1
Basic conditions
........................... 5
2.2
Convergence of the
Landweber
iteration
.............. 8
2.3
Convergence rates
.......................... 13
2.4
An example
............................. 26
3
Modified
Landweber
methods
..................... 30
3.1 Landweber
iteration in Hubert scales
................ 30
3.2
Iteratively regularized
Landweber
iteration
............. 41
3.3
A derivative free approach
..................... 52
3.4
Steepest descent and minimal error method
............ 54
3.5
The Landweber-Kaczmarz method
................. 58
4
Newton type methods
.......................... 64
4.1
Levenberg-Marquardt method
................... 64
4.2
Iteratively regularized Gauss-Newton method
........... 77
4.3
Generalizations of the iteratively regularized Gauss-Newton method
91
4.4
Broyden s method for ill-posed problems
............. 113
5
Multilevel methods
........................... 134
5.1
Regularization by discretization
.................. 134
5.2
Multigrid methods
......................... 138
6
Level set methods
............................ 150
6.1
Continuous regularization
...................... 152
6.2
Level set regularization
....................... 161
7
Applications
............................... 170
7.1
Reconstruction of transducer pressure fields from
Schlieren
images
170
7.2
Identification of
B
-Н
curves in nonlinear magnetics
........ 173
viii Contents
8
Comments
................................181
Bibliography
.................................183
Index
.....................................193
|
| any_adam_object | 1 |
| author | Kaltenbacher, Barbara Neubauer, Andreas Scherzer, Otmar 1964- |
| author_GND | (DE-588)120650053 |
| author_facet | Kaltenbacher, Barbara Neubauer, Andreas Scherzer, Otmar 1964- |
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| bvnumber | BV023311885 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 910 |
| ctrlnum | (OCoLC)232124307 (DE-599)BSZ27864581X |
| dewey-full | 518.26 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518.26 |
| dewey-search | 518.26 |
| dewey-sort | 3518.26 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV023311885 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T13:13:14Z |
| institution | BVB |
| isbn | 9783110204209 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016496138 |
| oclc_num | 232124307 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-20 DE-355 DE-BY-UBR DE-703 DE-29T |
| owner_facet | DE-91G DE-BY-TUM DE-20 DE-355 DE-BY-UBR DE-703 DE-29T |
| physical | VIII, 194 S. graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | De Gruyter |
| record_format | marc |
| series | Radon series on computational and applied mathematics |
| series2 | Radon series on computational and applied mathematics |
| spellingShingle | Kaltenbacher, Barbara Neubauer, Andreas Scherzer, Otmar 1964- Iterative regularization methods for nonlinear ill-posed problems Radon series on computational and applied mathematics Differential equations, Partial Improperly posed problems Iterative methods (Mathematics) Iteration (DE-588)4123457-1 gnd Nichtlineares inverses Problem (DE-588)4453043-2 gnd Regularisierungsverfahren (DE-588)4846428-4 gnd Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd |
| subject_GND | (DE-588)4123457-1 (DE-588)4453043-2 (DE-588)4846428-4 (DE-588)4186951-5 |
| title | Iterative regularization methods for nonlinear ill-posed problems |
| title_auth | Iterative regularization methods for nonlinear ill-posed problems |
| title_exact_search | Iterative regularization methods for nonlinear ill-posed problems |
| title_full | Iterative regularization methods for nonlinear ill-posed problems Barbara Kaltenbacher ; Andreas Neubauer ; Otmar Scherzer |
| title_fullStr | Iterative regularization methods for nonlinear ill-posed problems Barbara Kaltenbacher ; Andreas Neubauer ; Otmar Scherzer |
| title_full_unstemmed | Iterative regularization methods for nonlinear ill-posed problems Barbara Kaltenbacher ; Andreas Neubauer ; Otmar Scherzer |
| title_short | Iterative regularization methods for nonlinear ill-posed problems |
| title_sort | iterative regularization methods for nonlinear ill posed problems |
| topic | Differential equations, Partial Improperly posed problems Iterative methods (Mathematics) Iteration (DE-588)4123457-1 gnd Nichtlineares inverses Problem (DE-588)4453043-2 gnd Regularisierungsverfahren (DE-588)4846428-4 gnd Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd |
| topic_facet | Differential equations, Partial Improperly posed problems Iterative methods (Mathematics) Iteration Nichtlineares inverses Problem Regularisierungsverfahren Inkorrekt gestelltes Problem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016496138&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV023335470 |
| work_keys_str_mv | AT kaltenbacherbarbara iterativeregularizationmethodsfornonlinearillposedproblems AT neubauerandreas iterativeregularizationmethodsfornonlinearillposedproblems AT scherzerotmar iterativeregularizationmethodsfornonlinearillposedproblems |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 677 2008 A 4435 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |