Iterative methods for linear systems: theory and applications
Iterative Methods for Linear Systems offers a mathematically rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia
SIAM, Soc. for Industrial and Applied Mathematics
2014
|
| Schlagworte: | |
| Zusammenfassung: | Iterative Methods for Linear Systems offers a mathematically rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various algorithmic and mathematical perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning |
| Beschreibung: | Includes bibliographical references and index Krylov subspace nethods -- Toeplitz matrices and preconditioners -- Multigrid preconditioners -- Preconditioners by space decomposition -- Some applications |
| Beschreibung: | XVI, 247 S. |
| ISBN: | 9781611973457 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV042001807 | ||
| 003 | DE-604 | ||
| 005 | 20151014 | ||
| 007 | t | ||
| 008 | 140730s2014 |||| 00||| eng d | ||
| 020 | |a 9781611973457 |c Hb.: $76.50 |9 978-1-611973-45-7 | ||
| 035 | |a (OCoLC)891370061 | ||
| 035 | |a (DE-599)BVBBV042001807 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-706 |a DE-20 |a DE-29T |a DE-703 |a DE-83 | ||
| 084 | |a SK 915 |0 (DE-625)143271: |2 rvk | ||
| 084 | |a 65N55 |2 msc | ||
| 084 | |a 65F10 |2 msc | ||
| 084 | |a 65M55 |2 msc | ||
| 100 | 1 | |a Olshanskii, Maxim A. |d 1971- |e Verfasser |0 (DE-588)1059430126 |4 aut | |
| 245 | 1 | 0 | |a Iterative methods for linear systems |b theory and applications |c Maxim A. Olshanskii ; Eugene E. Tyrtyshnikov |
| 264 | 1 | |a Philadelphia |b SIAM, Soc. for Industrial and Applied Mathematics |c 2014 | |
| 300 | |a XVI, 247 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 500 | |a Krylov subspace nethods -- Toeplitz matrices and preconditioners -- Multigrid preconditioners -- Preconditioners by space decomposition -- Some applications | ||
| 520 | |a Iterative Methods for Linear Systems offers a mathematically rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various algorithmic and mathematical perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning | ||
| 650 | 4 | |a Systems of linear algebraic equations | |
| 650 | 4 | |a Iterative methods | |
| 650 | 4 | |a Krylov subspaces | |
| 650 | 4 | |a Preconditioners | |
| 650 | 4 | |a Convergence analysis | |
| 650 | 4 | |a Iterative methods (Mathematics) | |
| 650 | 4 | |a Linear systems | |
| 650 | 0 | 7 | |a Iteration |0 (DE-588)4123457-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Krylov-Verfahren |0 (DE-588)4425226-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lineare Algebra |0 (DE-588)4035811-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Lineare Algebra |0 (DE-588)4035811-2 |D s |
| 689 | 0 | 1 | |a Iteration |0 (DE-588)4123457-1 |D s |
| 689 | 0 | 2 | |a Krylov-Verfahren |0 (DE-588)4425226-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Tyrtyšnikov, Evgenij E. |d 1955- |e Verfasser |0 (DE-588)115464891 |4 aut | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027443827 | ||
Datensatz im Suchindex
| _version_ | 1804152412354641920 |
|---|---|
| any_adam_object | |
| author | Olshanskii, Maxim A. 1971- Tyrtyšnikov, Evgenij E. 1955- |
| author_GND | (DE-588)1059430126 (DE-588)115464891 |
| author_facet | Olshanskii, Maxim A. 1971- Tyrtyšnikov, Evgenij E. 1955- |
| author_role | aut aut |
| author_sort | Olshanskii, Maxim A. 1971- |
| author_variant | m a o ma mao e e t ee eet |
| building | Verbundindex |
| bvnumber | BV042001807 |
| classification_rvk | SK 915 |
| ctrlnum | (OCoLC)891370061 (DE-599)BVBBV042001807 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02521nam a2200517 c 4500</leader><controlfield tag="001">BV042001807</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20151014 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">140730s2014 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781611973457</subfield><subfield code="c">Hb.: $76.50</subfield><subfield code="9">978-1-611973-45-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)891370061</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042001807</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-706</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 915</subfield><subfield code="0">(DE-625)143271:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">65N55</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">65F10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">65M55</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Olshanskii, Maxim A.</subfield><subfield code="d">1971-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1059430126</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Iterative methods for linear systems</subfield><subfield code="b">theory and applications</subfield><subfield code="c">Maxim A. Olshanskii ; Eugene E. Tyrtyshnikov</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Philadelphia</subfield><subfield code="b">SIAM, Soc. for Industrial and Applied Mathematics</subfield><subfield code="c">2014</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVI, 247 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="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Krylov subspace nethods -- Toeplitz matrices and preconditioners -- Multigrid preconditioners -- Preconditioners by space decomposition -- Some applications</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Iterative Methods for Linear Systems offers a mathematically rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various algorithmic and mathematical perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Systems of linear algebraic equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Iterative methods</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Krylov subspaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Preconditioners</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Convergence analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Iterative methods (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Linear systems</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="650" ind1="0" ind2="7"><subfield code="a">Krylov-Verfahren</subfield><subfield code="0">(DE-588)4425226-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lineare Algebra</subfield><subfield code="0">(DE-588)4035811-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Lineare Algebra</subfield><subfield code="0">(DE-588)4035811-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><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="2"><subfield code="a">Krylov-Verfahren</subfield><subfield code="0">(DE-588)4425226-2</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">Tyrtyšnikov, Evgenij E.</subfield><subfield code="d">1955-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)115464891</subfield><subfield code="4">aut</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027443827</subfield></datafield></record></collection> |
| id | DE-604.BV042001807 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:10:18Z |
| institution | BVB |
| isbn | 9781611973457 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027443827 |
| oclc_num | 891370061 |
| open_access_boolean | |
| owner | DE-706 DE-20 DE-29T DE-703 DE-83 |
| owner_facet | DE-706 DE-20 DE-29T DE-703 DE-83 |
| physical | XVI, 247 S. |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | SIAM, Soc. for Industrial and Applied Mathematics |
| record_format | marc |
| spelling | Olshanskii, Maxim A. 1971- Verfasser (DE-588)1059430126 aut Iterative methods for linear systems theory and applications Maxim A. Olshanskii ; Eugene E. Tyrtyshnikov Philadelphia SIAM, Soc. for Industrial and Applied Mathematics 2014 XVI, 247 S. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Krylov subspace nethods -- Toeplitz matrices and preconditioners -- Multigrid preconditioners -- Preconditioners by space decomposition -- Some applications Iterative Methods for Linear Systems offers a mathematically rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various algorithmic and mathematical perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning Systems of linear algebraic equations Iterative methods Krylov subspaces Preconditioners Convergence analysis Iterative methods (Mathematics) Linear systems Iteration (DE-588)4123457-1 gnd rswk-swf Krylov-Verfahren (DE-588)4425226-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s Iteration (DE-588)4123457-1 s Krylov-Verfahren (DE-588)4425226-2 s DE-604 Tyrtyšnikov, Evgenij E. 1955- Verfasser (DE-588)115464891 aut |
| spellingShingle | Olshanskii, Maxim A. 1971- Tyrtyšnikov, Evgenij E. 1955- Iterative methods for linear systems theory and applications Systems of linear algebraic equations Iterative methods Krylov subspaces Preconditioners Convergence analysis Iterative methods (Mathematics) Linear systems Iteration (DE-588)4123457-1 gnd Krylov-Verfahren (DE-588)4425226-2 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4123457-1 (DE-588)4425226-2 (DE-588)4035811-2 |
| title | Iterative methods for linear systems theory and applications |
| title_auth | Iterative methods for linear systems theory and applications |
| title_exact_search | Iterative methods for linear systems theory and applications |
| title_full | Iterative methods for linear systems theory and applications Maxim A. Olshanskii ; Eugene E. Tyrtyshnikov |
| title_fullStr | Iterative methods for linear systems theory and applications Maxim A. Olshanskii ; Eugene E. Tyrtyshnikov |
| title_full_unstemmed | Iterative methods for linear systems theory and applications Maxim A. Olshanskii ; Eugene E. Tyrtyshnikov |
| title_short | Iterative methods for linear systems |
| title_sort | iterative methods for linear systems theory and applications |
| title_sub | theory and applications |
| topic | Systems of linear algebraic equations Iterative methods Krylov subspaces Preconditioners Convergence analysis Iterative methods (Mathematics) Linear systems Iteration (DE-588)4123457-1 gnd Krylov-Verfahren (DE-588)4425226-2 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Systems of linear algebraic equations Iterative methods Krylov subspaces Preconditioners Convergence analysis Iterative methods (Mathematics) Linear systems Iteration Krylov-Verfahren Lineare Algebra |
| work_keys_str_mv | AT olshanskiimaxima iterativemethodsforlinearsystemstheoryandapplications AT tyrtysnikovevgenije iterativemethodsforlinearsystemstheoryandapplications |