The theory and applications of iteration methods:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Boca Raton, Fla. u.a.
CRC Press
1993
|
| Schriftenreihe: | Systems engineering series
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006367895&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | 355 S. |
| ISBN: | 0849380146 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV009635500 | ||
| 003 | DE-604 | ||
| 005 | 19940615 | ||
| 007 | t| | ||
| 008 | 940609s1993 xx |||| 00||| engod | ||
| 020 | |a 0849380146 |9 0-8493-8014-6 | ||
| 035 | |a (OCoLC)27680769 | ||
| 035 | |a (DE-599)BVBBV009635500 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-91 |a DE-M347 |a DE-29T |a DE-703 |a DE-188 | ||
| 050 | 0 | |a QA297.8 | |
| 082 | 0 | |a 003/.01/5114 |2 20 | |
| 084 | |a SK 910 |0 (DE-625)143270: |2 rvk | ||
| 084 | |a MAT 652f |2 stub | ||
| 084 | |a MAT 410f |2 stub | ||
| 100 | 1 | |a Argyros, Ioannis K. |e Verfasser |0 (DE-588)14160820X |4 aut | |
| 245 | 1 | 0 | |a The theory and applications of iteration methods |c Ioannis K. Argyros ; Ferenc Szidarovszky |
| 264 | 1 | |a Boca Raton, Fla. u.a. |b CRC Press |c 1993 | |
| 300 | |a 355 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Systems engineering series | |
| 650 | 4 | |a Iterative methods (Mathematics) | |
| 650 | 0 | 7 | |a Iteration |0 (DE-588)4123457-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Iteration |0 (DE-588)4123457-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Szidarovszky, Ferenc |d 1945- |e Verfasser |0 (DE-588)121012158 |4 aut | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006367895&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006367895 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0001 95 A 1103 |
|---|---|
| DE-BY-TUM_katkey | 626849 |
| DE-BY-TUM_location | Mag |
| DE-BY-TUM_media_number | 040000126134 |
| _version_ | 1821935633278435328 |
| adam_text | IMAGE 1
THE THEORY AND
APPLICATIONS OF ITERATION METHODS
IOANNIS K. ARGYROS FERENC SZIDAROVSZKY
CRC PRESS
BOCA RATON ANN ARBOR LONDON TOKYO
IMAGE 2
CONTENTS
PREFACE VII
1 THE CONVERGENCE OF ALGORITHMIC MODEIS 1
1.1 ALGORITHMIC MODEIS 1
1.2 CONVERGENCE CRITERIA FOR ALGORITHMIC MODEIS 4
1.3 APPLICATIONS 10
EXERCISES 41
2 THE CONVERGENCE OF ITERATION SEQUENCES 45
2.1 THE GENERAL CONVERGENCE THEOREM 45
2.2 CONVERGENCE OF 1-STEP METHODS 47
2.3 CONVERGENCE OF SINGLE-STEP METHODS 51
2.4 CONVERGENCE OF SINGLE-STEP METHODS WITH DIFFERENTIABLE ITERATION
FUNCTIONS 55
2.5 CASE STUDIES 60
EXERCISES 119
3 MONOTONE CONVERGENCE 123
3.1 GENERAL RESULTS 123
3.2 A GENERAL MODEL IN LINEAR SPACES 124
3.3 CASE STUDIES 129
EXERCISES 153
4 COMPARISON THEOREMS 157
4.1 GENERAL RESULTS 157
4.2 COMPARISON TO FIXED POINTS 159
4.3 CASE STUDIES 160
EXERCISES 178
5 THE CONVERGENCE OF NEWTON METHODS AND THEIR VARIANTS 181
5.1 CONVERGENCE ANALYSIS AND PTAEK ERROR ESTIMATES 181
5.2 CONVERGENCE WITH A NONDIFFERENTIABLE TERM 190
5.3 CONVERGENCE OF NEWTON-LIKE METHODS 191
5.4 CASE STUDIES 194
EXERCISES 321
*
IMAGE 3
*
6 THE MONOTONE CONVERGENCE OF NEWTON METHODS AND THEIR VARIANTS 325
6.1 MONOTONE CONVERGENCE OF NEWTON-LIKE METHODS 325
6.2 A LATTICE THEORETICAL FIXED POINT THEOREM 337
6.3 CASE STUDIES 339
EXERCISES 343
REFERENCES 345
INDEX 351
|
| any_adam_object | 1 |
| author | Argyros, Ioannis K. Szidarovszky, Ferenc 1945- |
| author_GND | (DE-588)14160820X (DE-588)121012158 |
| author_facet | Argyros, Ioannis K. Szidarovszky, Ferenc 1945- |
| author_role | aut aut |
| author_sort | Argyros, Ioannis K. |
| author_variant | i k a ik ika f s fs |
| building | Verbundindex |
| bvnumber | BV009635500 |
| callnumber-first | Q - Science |
| callnumber-label | QA297 |
| callnumber-raw | QA297.8 |
| callnumber-search | QA297.8 |
| callnumber-sort | QA 3297.8 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 910 |
| classification_tum | MAT 652f MAT 410f |
| ctrlnum | (OCoLC)27680769 (DE-599)BVBBV009635500 |
| dewey-full | 003/.01/5114 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 003 - Systems |
| dewey-raw | 003/.01/5114 |
| dewey-search | 003/.01/5114 |
| dewey-sort | 13 11 45114 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01511nam a2200397 c 4500</leader><controlfield tag="001">BV009635500</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19940615 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">940609s1993 xx |||| 00||| engod</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0849380146</subfield><subfield code="9">0-8493-8014-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)27680769</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV009635500</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-M347</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA297.8</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">003/.01/5114</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 910</subfield><subfield code="0">(DE-625)143270:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 652f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 410f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Argyros, Ioannis K.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)14160820X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The theory and applications of iteration methods</subfield><subfield code="c">Ioannis K. Argyros ; Ferenc Szidarovszky</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boca Raton, Fla. u.a.</subfield><subfield code="b">CRC Press</subfield><subfield code="c">1993</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">355 S.</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">Systems engineering series</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Iterative methods (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Iteration</subfield><subfield code="0">(DE-588)4123457-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Iteration</subfield><subfield code="0">(DE-588)4123457-1</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">Szidarovszky, Ferenc</subfield><subfield code="d">1945-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)121012158</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV 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=006367895&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-006367895</subfield></datafield></record></collection> |
| id | DE-604.BV009635500 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:39:36Z |
| institution | BVB |
| isbn | 0849380146 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006367895 |
| oclc_num | 27680769 |
| open_access_boolean | |
| owner | DE-12 DE-91 DE-BY-TUM DE-M347 DE-29T DE-703 DE-188 |
| owner_facet | DE-12 DE-91 DE-BY-TUM DE-M347 DE-29T DE-703 DE-188 |
| physical | 355 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | CRC Press |
| record_format | marc |
| series2 | Systems engineering series |
| spellingShingle | Argyros, Ioannis K. Szidarovszky, Ferenc 1945- The theory and applications of iteration methods Iterative methods (Mathematics) Iteration (DE-588)4123457-1 gnd |
| subject_GND | (DE-588)4123457-1 |
| title | The theory and applications of iteration methods |
| title_auth | The theory and applications of iteration methods |
| title_exact_search | The theory and applications of iteration methods |
| title_full | The theory and applications of iteration methods Ioannis K. Argyros ; Ferenc Szidarovszky |
| title_fullStr | The theory and applications of iteration methods Ioannis K. Argyros ; Ferenc Szidarovszky |
| title_full_unstemmed | The theory and applications of iteration methods Ioannis K. Argyros ; Ferenc Szidarovszky |
| title_short | The theory and applications of iteration methods |
| title_sort | the theory and applications of iteration methods |
| topic | Iterative methods (Mathematics) Iteration (DE-588)4123457-1 gnd |
| topic_facet | Iterative methods (Mathematics) Iteration |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006367895&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT argyrosioannisk thetheoryandapplicationsofiterationmethods AT szidarovszkyferenc thetheoryandapplicationsofiterationmethods |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Bibliotheksmagazin
| Signatur: |
0001 95 A 1103 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |