Projection-iterative methods for solution of operator equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
1976
|
| Schriftenreihe: | Translations of mathematical monographs
46 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus d. Russ. übers. |
| Beschreibung: | 196 S. |
| ISBN: | 0821815962 |
Internformat
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| 100 | 1 | |a Kurpel', Nikolaj S. |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Proekcionno-iterativnye metody rešenija, operatornych uravnenij |
| 245 | 1 | 0 | |a Projection-iterative methods for solution of operator equations |c by N. S. Kurpel' |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 1976 | |
| 300 | |a 196 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Translations of mathematical monographs |v 46 | |
| 500 | |a Aus d. Russ. übers. | ||
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Datensatz im Suchindex
| _version_ | 1804116416343834624 |
|---|---|
| adam_text | TABLE OF CONTENTS
Preface .v 1
Introduction 3
Chapter I. General theory of iterative projection methods for operator
equations in abstract metric and normed spaces 13
1. Auxiliary material from the theory of semiordered spaces 13
2. General error estimates for approximate solutions of operator equa¬
tions 20
3. Nonstationary iterative method for equations in abstract metric and
normed spaces 24
4. Nonstationary generalized iterative method for equations in a space R
metrized by elements of a set G 27
5. Stationary generalized iterative method for equations in a space R
metrized by elements of a set G 31
6. Nonstationary generalized iterative method for equations in lattice
normed spaces 42
7. Some special cases of the generalized iterative method 47
8. Investigation of the stationary generalized iterative method for equa¬
tions in lattice normed spaces 51
9. Generalized algorithms for the method of averaged functional correc¬
tions 55
10. A special case of operator equations and projection operators 64
11. Modified generalized iterative method for operator equations in lat¬
tice normed spaces 69
12. Modified iterative projection method in some special cases 75
13. Special case of the generalized iterative method for solution of cer¬
tain types of operator equation 84
Chapter II. Investigation of iterative projection methods for solution of
operator equations in Banach spaces 87
14. Generalized iterative projection method in Banach spaces general
case 87
15. Modified generalized iterative projection method in a Banach space
general case 92
16. Hilbert space and orthogonal projections. Error estimate for projec¬
tion method 94
17. Investigation of generalized iterative projection methods for operator
equations in Hilbert space 98
CONTENTS
18. Investigation of modified generalized iterative projection method
for operator equations in Hilbert space 107
19. Iterative projection method based on minimization of the norm
of the residual 110
20. Iterative projection method based on minimization of the norm of
the error 114
21. Solution of some types of operator equation in a semiordered
Hilbert space 118
22. Direct product Banach spaces with m norm and projections PN.
Error estimates for the projection method 121
23. Generalized iterative projection method for operator equations in
an ffj normed direct product Banach space with projection opera¬
tor/^ 124
24. Modified iterative projection method for operator equations in an
/w normed direct product Banach space with projection operator PN 126
25. m normed direct product Banach space and projection R. Error
estimate for projection method 128
26. Investigation of generalized iterative projection methods for equa¬
tions in an m normed direct product Banach space with projection
R 130
27. Case of fc normed direct product Banach space with projection R.
Error estimate for projection method 134
28. Investigation of generalized iterative projection methods for opera¬
tor equations in a fc normed space with projection operator R 136
29. Case of / normed direct product Banach space with projection
PN. Investigation of iterative projection methods 139
Chapter III. Application of iterative projection methods to some special
classes of operator equations 142
30. Finite and infinite systems of algebraic and transcendental equa¬
tions 142
31. Integral equations 150
32. Finite and infinite systems of integral equations 163
33. Forced oscillations of finite amplitude 173
34. Boundary value problem of the theory of thermal explosion 176
35. Systems of nonlinear integral equations of the theory of shallow
shells of revolution 180
Bibliography 183
|
| any_adam_object | 1 |
| author | Kurpel', Nikolaj S. |
| author_facet | Kurpel', Nikolaj S. |
| author_role | aut |
| author_sort | Kurpel', Nikolaj S. |
| author_variant | n s k ns nsk |
| building | Verbundindex |
| bvnumber | BV001972340 |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)246828749 (DE-599)BVBBV001972340 |
| discipline | Mathematik |
| format | Book |
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| genre | Iteratives Näherungsverfahren gnd |
| genre_facet | Iteratives Näherungsverfahren |
| id | DE-604.BV001972340 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:38:10Z |
| institution | BVB |
| isbn | 0821815962 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001286381 |
| oclc_num | 246828749 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-706 DE-83 DE-188 |
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| physical | 196 S. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Kurpel', Nikolaj S. Verfasser aut Proekcionno-iterativnye metody rešenija, operatornych uravnenij Projection-iterative methods for solution of operator equations by N. S. Kurpel' Providence, R.I. American Mathematical Society 1976 196 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 46 Aus d. Russ. übers. Operatorgleichung (DE-588)4043601-9 gnd rswk-swf Näherungsverfahren (DE-588)4206467-3 gnd rswk-swf Iteratives Näherungsverfahren gnd rswk-swf Operatorgleichung (DE-588)4043601-9 s Iteratives Näherungsverfahren f DE-604 Näherungsverfahren (DE-588)4206467-3 s 1\p DE-604 Translations of mathematical monographs 46 (DE-604)BV000002394 46 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001286381&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kurpel', Nikolaj S. Projection-iterative methods for solution of operator equations Translations of mathematical monographs Operatorgleichung (DE-588)4043601-9 gnd Näherungsverfahren (DE-588)4206467-3 gnd |
| subject_GND | (DE-588)4043601-9 (DE-588)4206467-3 |
| title | Projection-iterative methods for solution of operator equations |
| title_alt | Proekcionno-iterativnye metody rešenija, operatornych uravnenij |
| title_auth | Projection-iterative methods for solution of operator equations |
| title_exact_search | Projection-iterative methods for solution of operator equations |
| title_full | Projection-iterative methods for solution of operator equations by N. S. Kurpel' |
| title_fullStr | Projection-iterative methods for solution of operator equations by N. S. Kurpel' |
| title_full_unstemmed | Projection-iterative methods for solution of operator equations by N. S. Kurpel' |
| title_short | Projection-iterative methods for solution of operator equations |
| title_sort | projection iterative methods for solution of operator equations |
| topic | Operatorgleichung (DE-588)4043601-9 gnd Näherungsverfahren (DE-588)4206467-3 gnd |
| topic_facet | Operatorgleichung Näherungsverfahren Iteratives Näherungsverfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001286381&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
| work_keys_str_mv | AT kurpelnikolajs proekcionnoiterativnyemetodyresenijaoperatornychuravnenij AT kurpelnikolajs projectioniterativemethodsforsolutionofoperatorequations |