Iterative solution of nonlinear equations in several variables: Originally published: New York : Academic Press, 1970
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
2000
|
| Series: | Classics in applied mathematics
30 |
| Subjects: | |
| Online Access: | TUM01 TUM01 UBW01 Volltext |
| Item Description: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader |
| Physical Description: | 1 Online-Ressource (xxvi, 572 Seiten) |
| DOI: | 10.1137/1.9780898719468 |
Staff View
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV039747161 | ||
| 003 | DE-604 | ||
| 005 | 20240214 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 111207s2000 sz |||| o||u| ||||||eng d | ||
| 010 | |a 00021291 | ||
| 020 | |z 9780898719468 |c Online |9 978-0-89871-946-8 | ||
| 024 | 7 | |a 10.1137/1.9780898719468 |2 doi | |
| 035 | |a (OCoLC)775728666 | ||
| 035 | |a (DE-599)BVBBV039747161 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a sz |c XA-CH | ||
| 049 | |a DE-91 |a DE-29 |a DE-706 |a DE-83 |a DE-20 | ||
| 084 | |a SK 910 |0 (DE-625)143270: |2 rvk | ||
| 100 | 1 | |a Ortega, James M. |d 1932- |0 (DE-588)114190852 |4 aut | |
| 245 | 1 | 0 | |a Iterative solution of nonlinear equations in several variables |b Originally published: New York : Academic Press, 1970 |c J.M. Ortega, W.C. Rheinboldt |
| 264 | 1 | |a Philadelphia, Pa. |b Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |c 2000 | |
| 300 | |a 1 Online-Ressource (xxvi, 572 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Classics in applied mathematics |v 30 | |
| 500 | |a Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader | ||
| 505 | 8 | |a Includes bibliographical references and index | |
| 505 | 8 | |a Preface to the classics edition -- Preface -- Acknowledgments -- Glossary of symbols -- Introduction -- Part I. Background material -- 1. Sample problems -- 2. Linear algebra -- 3. Analysis -- Part II. Nonconstructive existence theorems -- 4. Gradient mappings and minimization -- 5. Contractions and the continuation property -- 6. The degree of a mapping -- Part III. Iterative methods -- 7. General iterative methods -- 8. Minimization methods -- Part IV. Local convergence -- 9. Rates of convergence-general -- 10. One-step stationary methods -- 11. Multistep methods and additional one-step methods -- Part V. Semilocal and global convergence -- 12. Contractions and nonlinear majorants -- 13. Convergence under partial ordering -- 14. Convergence of minimization methods -- An annotated list of basic reference books -- Bibliography -- Author index -- Subject index | |
| 505 | 8 | |a Iterative Solution of Nonlinear Equations in Several Variables provides a survey of the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Originally published in 1970, it offers a research-level presentation of the principal results known at that time | |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mehrere Variable |0 (DE-588)4277015-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare Gleichung |0 (DE-588)4455337-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtlineare Gleichung |0 (DE-588)4455337-7 |D s |
| 689 | 0 | 1 | |a Mehrere Variable |0 (DE-588)4277015-4 |D s |
| 689 | 0 | 2 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Rheinboldt, Werner C. |d 1927- |0 (DE-588)1014603552 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe, Paperback |z 978-0-89871-461-6 |w (DE-604)BV013437622 |
| 830 | 0 | |a Classics in applied mathematics |v 30 |w (DE-604)BV040633091 |9 30 | |
| 856 | 4 | 0 | |u https://doi.org/10.1137/1.9780898719468 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-72-SIA |a ZDB-26-MYL | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-024594692 | ||
| 966 | e | |u http://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl30 |l TUM01 |p ZDB-72-SIA |q TUM_Einzelkauf |x Verlag |3 Volltext | |
| 966 | e | |u https://ebookcentral.proquest.com/lib/munchentech/detail.action?docID=1888486 |l TUM01 |p ZDB-26-MYL |q TUM_PDA_MIL_Kauf |x Aggregator |3 Volltext | |
| 966 | e | |u http://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl30 |l UBW01 |p ZDB-72-SIA |x Verlag |3 Volltext | |
Record in the Search Index
| _version_ | 1804148637280763904 |
|---|---|
| any_adam_object | |
| author | Ortega, James M. 1932- Rheinboldt, Werner C. 1927- |
| author_GND | (DE-588)114190852 (DE-588)1014603552 |
| author_facet | Ortega, James M. 1932- Rheinboldt, Werner C. 1927- |
| author_role | aut aut |
| author_sort | Ortega, James M. 1932- |
| author_variant | j m o jm jmo w c r wc wcr |
| building | Verbundindex |
| bvnumber | BV039747161 |
| classification_rvk | SK 910 |
| collection | ZDB-72-SIA ZDB-26-MYL |
| contents | Includes bibliographical references and index Preface to the classics edition -- Preface -- Acknowledgments -- Glossary of symbols -- Introduction -- Part I. Background material -- 1. Sample problems -- 2. Linear algebra -- 3. Analysis -- Part II. Nonconstructive existence theorems -- 4. Gradient mappings and minimization -- 5. Contractions and the continuation property -- 6. The degree of a mapping -- Part III. Iterative methods -- 7. General iterative methods -- 8. Minimization methods -- Part IV. Local convergence -- 9. Rates of convergence-general -- 10. One-step stationary methods -- 11. Multistep methods and additional one-step methods -- Part V. Semilocal and global convergence -- 12. Contractions and nonlinear majorants -- 13. Convergence under partial ordering -- 14. Convergence of minimization methods -- An annotated list of basic reference books -- Bibliography -- Author index -- Subject index Iterative Solution of Nonlinear Equations in Several Variables provides a survey of the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Originally published in 1970, it offers a research-level presentation of the principal results known at that time |
| ctrlnum | (OCoLC)775728666 (DE-599)BVBBV039747161 |
| discipline | Mathematik |
| doi_str_mv | 10.1137/1.9780898719468 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03798nmm a2200541zcb4500</leader><controlfield tag="001">BV039747161</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240214 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">111207s2000 sz |||| o||u| ||||||eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">00021291</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9780898719468</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-89871-946-8</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1137/1.9780898719468</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)775728666</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV039747161</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="044" ind1=" " ind2=" "><subfield code="a">sz</subfield><subfield code="c">XA-CH</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-29</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-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="100" ind1="1" ind2=" "><subfield code="a">Ortega, James M.</subfield><subfield code="d">1932-</subfield><subfield code="0">(DE-588)114190852</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Iterative solution of nonlinear equations in several variables</subfield><subfield code="b">Originally published: New York : Academic Press, 1970</subfield><subfield code="c">J.M. Ortega, W.C. Rheinboldt</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Philadelphia, Pa.</subfield><subfield code="b">Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)</subfield><subfield code="c">2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xxvi, 572 Seiten)</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Classics in applied mathematics</subfield><subfield code="v">30</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Preface to the classics edition -- Preface -- Acknowledgments -- Glossary of symbols -- Introduction -- Part I. Background material -- 1. Sample problems -- 2. Linear algebra -- 3. Analysis -- Part II. Nonconstructive existence theorems -- 4. Gradient mappings and minimization -- 5. Contractions and the continuation property -- 6. The degree of a mapping -- Part III. Iterative methods -- 7. General iterative methods -- 8. Minimization methods -- Part IV. Local convergence -- 9. Rates of convergence-general -- 10. One-step stationary methods -- 11. Multistep methods and additional one-step methods -- Part V. Semilocal and global convergence -- 12. Contractions and nonlinear majorants -- 13. Convergence under partial ordering -- 14. Convergence of minimization methods -- An annotated list of basic reference books -- Bibliography -- Author index -- Subject index</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Iterative Solution of Nonlinear Equations in Several Variables provides a survey of the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Originally published in 1970, it offers a research-level presentation of the principal results known at that time</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mehrere Variable</subfield><subfield code="0">(DE-588)4277015-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtlineare Gleichung</subfield><subfield code="0">(DE-588)4455337-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nichtlineare Gleichung</subfield><subfield code="0">(DE-588)4455337-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mehrere Variable</subfield><subfield code="0">(DE-588)4277015-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</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">Rheinboldt, Werner C.</subfield><subfield code="d">1927-</subfield><subfield code="0">(DE-588)1014603552</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe, Paperback</subfield><subfield code="z">978-0-89871-461-6</subfield><subfield code="w">(DE-604)BV013437622</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Classics in applied mathematics</subfield><subfield code="v">30</subfield><subfield code="w">(DE-604)BV040633091</subfield><subfield code="9">30</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1137/1.9780898719468</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-72-SIA</subfield><subfield code="a">ZDB-26-MYL</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-024594692</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl30</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-72-SIA</subfield><subfield code="q">TUM_Einzelkauf</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://ebookcentral.proquest.com/lib/munchentech/detail.action?docID=1888486</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-26-MYL</subfield><subfield code="q">TUM_PDA_MIL_Kauf</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl30</subfield><subfield code="l">UBW01</subfield><subfield code="p">ZDB-72-SIA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV039747161 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:10:18Z |
| institution | BVB |
| language | English |
| lccn | 00021291 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024594692 |
| oclc_num | 775728666 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-29 DE-706 DE-83 DE-20 |
| owner_facet | DE-91 DE-BY-TUM DE-29 DE-706 DE-83 DE-20 |
| physical | 1 Online-Ressource (xxvi, 572 Seiten) |
| psigel | ZDB-72-SIA ZDB-26-MYL ZDB-72-SIA TUM_Einzelkauf ZDB-26-MYL TUM_PDA_MIL_Kauf |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |
| record_format | marc |
| series | Classics in applied mathematics |
| series2 | Classics in applied mathematics |
| spelling | Ortega, James M. 1932- (DE-588)114190852 aut Iterative solution of nonlinear equations in several variables Originally published: New York : Academic Press, 1970 J.M. Ortega, W.C. Rheinboldt Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 2000 1 Online-Ressource (xxvi, 572 Seiten) txt rdacontent c rdamedia cr rdacarrier Classics in applied mathematics 30 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references and index Preface to the classics edition -- Preface -- Acknowledgments -- Glossary of symbols -- Introduction -- Part I. Background material -- 1. Sample problems -- 2. Linear algebra -- 3. Analysis -- Part II. Nonconstructive existence theorems -- 4. Gradient mappings and minimization -- 5. Contractions and the continuation property -- 6. The degree of a mapping -- Part III. Iterative methods -- 7. General iterative methods -- 8. Minimization methods -- Part IV. Local convergence -- 9. Rates of convergence-general -- 10. One-step stationary methods -- 11. Multistep methods and additional one-step methods -- Part V. Semilocal and global convergence -- 12. Contractions and nonlinear majorants -- 13. Convergence under partial ordering -- 14. Convergence of minimization methods -- An annotated list of basic reference books -- Bibliography -- Author index -- Subject index Iterative Solution of Nonlinear Equations in Several Variables provides a survey of the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Originally published in 1970, it offers a research-level presentation of the principal results known at that time Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Mehrere Variable (DE-588)4277015-4 gnd rswk-swf Nichtlineare Gleichung (DE-588)4455337-7 gnd rswk-swf Nichtlineare Gleichung (DE-588)4455337-7 s Mehrere Variable (DE-588)4277015-4 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Rheinboldt, Werner C. 1927- (DE-588)1014603552 aut Erscheint auch als Druck-Ausgabe, Paperback 978-0-89871-461-6 (DE-604)BV013437622 Classics in applied mathematics 30 (DE-604)BV040633091 30 https://doi.org/10.1137/1.9780898719468 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Ortega, James M. 1932- Rheinboldt, Werner C. 1927- Iterative solution of nonlinear equations in several variables Originally published: New York : Academic Press, 1970 Classics in applied mathematics Includes bibliographical references and index Preface to the classics edition -- Preface -- Acknowledgments -- Glossary of symbols -- Introduction -- Part I. Background material -- 1. Sample problems -- 2. Linear algebra -- 3. Analysis -- Part II. Nonconstructive existence theorems -- 4. Gradient mappings and minimization -- 5. Contractions and the continuation property -- 6. The degree of a mapping -- Part III. Iterative methods -- 7. General iterative methods -- 8. Minimization methods -- Part IV. Local convergence -- 9. Rates of convergence-general -- 10. One-step stationary methods -- 11. Multistep methods and additional one-step methods -- Part V. Semilocal and global convergence -- 12. Contractions and nonlinear majorants -- 13. Convergence under partial ordering -- 14. Convergence of minimization methods -- An annotated list of basic reference books -- Bibliography -- Author index -- Subject index Iterative Solution of Nonlinear Equations in Several Variables provides a survey of the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Originally published in 1970, it offers a research-level presentation of the principal results known at that time Numerisches Verfahren (DE-588)4128130-5 gnd Mehrere Variable (DE-588)4277015-4 gnd Nichtlineare Gleichung (DE-588)4455337-7 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4277015-4 (DE-588)4455337-7 |
| title | Iterative solution of nonlinear equations in several variables Originally published: New York : Academic Press, 1970 |
| title_auth | Iterative solution of nonlinear equations in several variables Originally published: New York : Academic Press, 1970 |
| title_exact_search | Iterative solution of nonlinear equations in several variables Originally published: New York : Academic Press, 1970 |
| title_full | Iterative solution of nonlinear equations in several variables Originally published: New York : Academic Press, 1970 J.M. Ortega, W.C. Rheinboldt |
| title_fullStr | Iterative solution of nonlinear equations in several variables Originally published: New York : Academic Press, 1970 J.M. Ortega, W.C. Rheinboldt |
| title_full_unstemmed | Iterative solution of nonlinear equations in several variables Originally published: New York : Academic Press, 1970 J.M. Ortega, W.C. Rheinboldt |
| title_short | Iterative solution of nonlinear equations in several variables |
| title_sort | iterative solution of nonlinear equations in several variables originally published new york academic press 1970 |
| title_sub | Originally published: New York : Academic Press, 1970 |
| topic | Numerisches Verfahren (DE-588)4128130-5 gnd Mehrere Variable (DE-588)4277015-4 gnd Nichtlineare Gleichung (DE-588)4455337-7 gnd |
| topic_facet | Numerisches Verfahren Mehrere Variable Nichtlineare Gleichung |
| url | https://doi.org/10.1137/1.9780898719468 |
| volume_link | (DE-604)BV040633091 |
| work_keys_str_mv | AT ortegajamesm iterativesolutionofnonlinearequationsinseveralvariablesoriginallypublishednewyorkacademicpress1970 AT rheinboldtwernerc iterativesolutionofnonlinearequationsinseveralvariablesoriginallypublishednewyorkacademicpress1970 |