The total least squares problem: computational aspects and analysis
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
1991
|
| Schriftenreihe: | Frontiers in applied mathematics
9 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 285-296) and index Introduction -- Basic principles of the total least squares problem -- Extensions of the basic total least squares problem -- Direct speed improvement of the total least squares computations -- Iterative speed improvement for solving slowly varying total least squares problems -- Algebraic connections between total least squares and least squares problems -- Sensitivity analysis of total least squares and least squares problems in the presence of errors in all data -- Statistical properties of the total least squares problem -- Algebraic connections between total least squares estimation and classical linear Regression in multicollinearity problems -- Conclusions This is the first book devoted entirely to total least squares. The authors give a unified presentation of the TLS problem. A description of its basic principles are given, the various algebraic, statistical and sensitivity properties of the problem are discussed, and generalizations are presented. Applications are surveyed to facilitate uses in an even wider range of applications. Whenever possible, comparison is made with the well-known least squares methods. A basic knowledge of numerical linear algebra, matrix computations, and some notion of elementary statistics is required of the reader; however, some background material is included to make the book reasonably self-contained |
| Beschreibung: | 1 Online-Ressource (xiii, 300 Seiten) |
| ISBN: | 0898712750 9780898712759 |
| DOI: | 10.1137/1.9781611971002 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV039747367 | ||
| 003 | DE-604 | ||
| 005 | 20210408 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 111207s1991 sz |||| o||u| ||||||eng d | ||
| 010 | |a 91018739 | ||
| 020 | |a 0898712750 |c pbk. |9 0898712750 | ||
| 020 | |a 9780898712759 |c pbk. |9 9780898712759 | ||
| 024 | 7 | |a 10.1137/1.9781611971002 |2 doi | |
| 035 | |a (OCoLC)873886555 | ||
| 035 | |a (DE-599)BVBBV039747367 | ||
| 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 | ||
| 084 | |a SK 905 |0 (DE-625)143269: |2 rvk | ||
| 100 | 1 | |a Huffel, Sabine van |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The total least squares problem |b computational aspects and analysis |c Sabine Van Huffel, Joos Vandewalle |
| 264 | 1 | |a Philadelphia, Pa. |b Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |c 1991 | |
| 300 | |a 1 Online-Ressource (xiii, 300 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Frontiers in applied mathematics |v 9 | |
| 500 | |a Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader | ||
| 500 | |a Includes bibliographical references (s. 285-296) and index | ||
| 500 | |a Introduction -- Basic principles of the total least squares problem -- Extensions of the basic total least squares problem -- Direct speed improvement of the total least squares computations -- Iterative speed improvement for solving slowly varying total least squares problems -- Algebraic connections between total least squares and least squares problems -- Sensitivity analysis of total least squares and least squares problems in the presence of errors in all data -- Statistical properties of the total least squares problem -- Algebraic connections between total least squares estimation and classical linear Regression in multicollinearity problems -- Conclusions | ||
| 500 | |a This is the first book devoted entirely to total least squares. The authors give a unified presentation of the TLS problem. A description of its basic principles are given, the various algebraic, statistical and sensitivity properties of the problem are discussed, and generalizations are presented. Applications are surveyed to facilitate uses in an even wider range of applications. Whenever possible, comparison is made with the well-known least squares methods. A basic knowledge of numerical linear algebra, matrix computations, and some notion of elementary statistics is required of the reader; however, some background material is included to make the book reasonably self-contained | ||
| 650 | 4 | |a Least squares | |
| 650 | 0 | 7 | |a Methode der kleinsten Quadrate |0 (DE-588)4038974-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Methode der kleinsten Quadrate |0 (DE-588)4038974-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Vandewalle, Joos |d 1948- |0 (DE-588)129647136 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe, Paperback |z 0898712750 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe, Paperback |z 9780898712759 |
| 830 | 0 | |a Frontiers in applied mathematics |v 9 |w (DE-604)BV047220606 |9 9 | |
| 856 | 4 | 0 | |u https://doi.org/10.1137/1.9781611971002 |x Verlag |3 Volltext |
| 912 | |a ZDB-72-SIA | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-024594898 | ||
| 966 | e | |u https://doi.org/10.1137/1.9781611971002 |l TUM01 |p ZDB-72-SIA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1137/1.9781611971002 |l UBW01 |p ZDB-72-SIA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1137/1.9781611971002 |l UBY01 |p ZDB-72-SIA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1137/1.9781611971002 |l UER01 |p ZDB-72-SIA |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804148637698097152 |
|---|---|
| any_adam_object | |
| author | Huffel, Sabine van Vandewalle, Joos 1948- |
| author_GND | (DE-588)129647136 |
| author_facet | Huffel, Sabine van Vandewalle, Joos 1948- |
| author_role | aut aut |
| author_sort | Huffel, Sabine van |
| author_variant | s v h sv svh j v jv |
| building | Verbundindex |
| bvnumber | BV039747367 |
| classification_rvk | SK 910 SK 905 |
| collection | ZDB-72-SIA |
| ctrlnum | (OCoLC)873886555 (DE-599)BVBBV039747367 |
| discipline | Mathematik |
| doi_str_mv | 10.1137/1.9781611971002 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03736nmm a2200553zcb4500</leader><controlfield tag="001">BV039747367</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210408 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">111207s1991 sz |||| o||u| ||||||eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">91018739</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0898712750</subfield><subfield code="c">pbk.</subfield><subfield code="9">0898712750</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780898712759</subfield><subfield code="c">pbk.</subfield><subfield code="9">9780898712759</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1137/1.9781611971002</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)873886555</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV039747367</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="084" ind1=" " ind2=" "><subfield code="a">SK 905</subfield><subfield code="0">(DE-625)143269:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Huffel, Sabine van</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The total least squares problem</subfield><subfield code="b">computational aspects and analysis</subfield><subfield code="c">Sabine Van Huffel, Joos Vandewalle</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">1991</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xiii, 300 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">Frontiers in applied mathematics</subfield><subfield code="v">9</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="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (s. 285-296) and index</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Introduction -- Basic principles of the total least squares problem -- Extensions of the basic total least squares problem -- Direct speed improvement of the total least squares computations -- Iterative speed improvement for solving slowly varying total least squares problems -- Algebraic connections between total least squares and least squares problems -- Sensitivity analysis of total least squares and least squares problems in the presence of errors in all data -- Statistical properties of the total least squares problem -- Algebraic connections between total least squares estimation and classical linear Regression in multicollinearity problems -- Conclusions</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This is the first book devoted entirely to total least squares. The authors give a unified presentation of the TLS problem. A description of its basic principles are given, the various algebraic, statistical and sensitivity properties of the problem are discussed, and generalizations are presented. Applications are surveyed to facilitate uses in an even wider range of applications. Whenever possible, comparison is made with the well-known least squares methods. A basic knowledge of numerical linear algebra, matrix computations, and some notion of elementary statistics is required of the reader; however, some background material is included to make the book reasonably self-contained</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Least squares</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Methode der kleinsten Quadrate</subfield><subfield code="0">(DE-588)4038974-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Methode der kleinsten Quadrate</subfield><subfield code="0">(DE-588)4038974-1</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">Vandewalle, Joos</subfield><subfield code="d">1948-</subfield><subfield code="0">(DE-588)129647136</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">0898712750</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">9780898712759</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Frontiers in applied mathematics</subfield><subfield code="v">9</subfield><subfield code="w">(DE-604)BV047220606</subfield><subfield code="9">9</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1137/1.9781611971002</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-72-SIA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-024594898</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1137/1.9781611971002</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-72-SIA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1137/1.9781611971002</subfield><subfield code="l">UBW01</subfield><subfield code="p">ZDB-72-SIA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1137/1.9781611971002</subfield><subfield code="l">UBY01</subfield><subfield code="p">ZDB-72-SIA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1137/1.9781611971002</subfield><subfield code="l">UER01</subfield><subfield code="p">ZDB-72-SIA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV039747367 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:10:18Z |
| institution | BVB |
| isbn | 0898712750 9780898712759 |
| language | English |
| lccn | 91018739 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024594898 |
| oclc_num | 873886555 |
| 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 (xiii, 300 Seiten) |
| psigel | ZDB-72-SIA |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |
| record_format | marc |
| series | Frontiers in applied mathematics |
| series2 | Frontiers in applied mathematics |
| spelling | Huffel, Sabine van Verfasser aut The total least squares problem computational aspects and analysis Sabine Van Huffel, Joos Vandewalle Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1991 1 Online-Ressource (xiii, 300 Seiten) txt rdacontent c rdamedia cr rdacarrier Frontiers in applied mathematics 9 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 285-296) and index Introduction -- Basic principles of the total least squares problem -- Extensions of the basic total least squares problem -- Direct speed improvement of the total least squares computations -- Iterative speed improvement for solving slowly varying total least squares problems -- Algebraic connections between total least squares and least squares problems -- Sensitivity analysis of total least squares and least squares problems in the presence of errors in all data -- Statistical properties of the total least squares problem -- Algebraic connections between total least squares estimation and classical linear Regression in multicollinearity problems -- Conclusions This is the first book devoted entirely to total least squares. The authors give a unified presentation of the TLS problem. A description of its basic principles are given, the various algebraic, statistical and sensitivity properties of the problem are discussed, and generalizations are presented. Applications are surveyed to facilitate uses in an even wider range of applications. Whenever possible, comparison is made with the well-known least squares methods. A basic knowledge of numerical linear algebra, matrix computations, and some notion of elementary statistics is required of the reader; however, some background material is included to make the book reasonably self-contained Least squares Methode der kleinsten Quadrate (DE-588)4038974-1 gnd rswk-swf Methode der kleinsten Quadrate (DE-588)4038974-1 s DE-604 Vandewalle, Joos 1948- (DE-588)129647136 aut Erscheint auch als Druck-Ausgabe, Paperback 0898712750 Erscheint auch als Druck-Ausgabe, Paperback 9780898712759 Frontiers in applied mathematics 9 (DE-604)BV047220606 9 https://doi.org/10.1137/1.9781611971002 Verlag Volltext |
| spellingShingle | Huffel, Sabine van Vandewalle, Joos 1948- The total least squares problem computational aspects and analysis Frontiers in applied mathematics Least squares Methode der kleinsten Quadrate (DE-588)4038974-1 gnd |
| subject_GND | (DE-588)4038974-1 |
| title | The total least squares problem computational aspects and analysis |
| title_auth | The total least squares problem computational aspects and analysis |
| title_exact_search | The total least squares problem computational aspects and analysis |
| title_full | The total least squares problem computational aspects and analysis Sabine Van Huffel, Joos Vandewalle |
| title_fullStr | The total least squares problem computational aspects and analysis Sabine Van Huffel, Joos Vandewalle |
| title_full_unstemmed | The total least squares problem computational aspects and analysis Sabine Van Huffel, Joos Vandewalle |
| title_short | The total least squares problem |
| title_sort | the total least squares problem computational aspects and analysis |
| title_sub | computational aspects and analysis |
| topic | Least squares Methode der kleinsten Quadrate (DE-588)4038974-1 gnd |
| topic_facet | Least squares Methode der kleinsten Quadrate |
| url | https://doi.org/10.1137/1.9781611971002 |
| volume_link | (DE-604)BV047220606 |
| work_keys_str_mv | AT huffelsabinevan thetotalleastsquaresproblemcomputationalaspectsandanalysis AT vandewallejoos thetotalleastsquaresproblemcomputationalaspectsandanalysis |