Biorthogonality and its applications to numerical analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Dekker
1992
|
| Series: | Pure and applied mathematics
156 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | V, 166 S. |
| ISBN: | 0824786165 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV004737245 | ||
| 003 | DE-604 | ||
| 005 | 20210604 | ||
| 007 | t | ||
| 008 | 920316s1992 |||| 00||| eng d | ||
| 020 | |a 0824786165 |9 0-8247-8616-5 | ||
| 035 | |a (OCoLC)246623389 | ||
| 035 | |a (DE-599)BVBBV004737245 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-12 |a DE-703 |a DE-634 |a DE-83 |a DE-11 |a DE-188 |a DE-706 | ||
| 084 | |a SK 900 |0 (DE-625)143268: |2 rvk | ||
| 084 | |a SK 905 |0 (DE-625)143269: |2 rvk | ||
| 084 | |a 65J10 |2 msc | ||
| 100 | 1 | |a Brezinski, Claude |d 1941- |e Verfasser |0 (DE-588)108764737 |4 aut | |
| 245 | 1 | 0 | |a Biorthogonality and its applications to numerical analysis |c Claude Brezinski |
| 264 | 1 | |a New York [u.a.] |b Dekker |c 1992 | |
| 300 | |a V, 166 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pure and applied mathematics |v 156 | |
| 650 | 0 | 7 | |a Biorthonormalsystem |0 (DE-588)4282536-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Orthogonale Polynome |0 (DE-588)4172863-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Biorthonormalsystem |0 (DE-588)4282536-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Orthogonale Polynome |0 (DE-588)4172863-4 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a Pure and applied mathematics |v 156 |w (DE-604)BV000001885 |9 156 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002914993&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002914993 | ||
Record in the Search Index
| _version_ | 1804118857275670528 |
|---|---|
| adam_text | Contents
Preface iii
1. INTRODUCTION 1
2. PRELIMINARIES 2
3. BIORTHOGONALITY AND APPLICATIONS 5
3.1 Orthogonality for Polynomials 9
3.2 Interpolation and Projection 11
3.3 Kernel 17
3.4 The Interpolation Operator 21
3.5 The Method of Moments 25
3.6 Lanczos Method 33
3.7 The Bi conjugate Gradient Method 35
3.8 Fredholm Equation and Pade Type Approximants 39
4. ADJACENT BIORTHOGONAL FAMILIES 48
4.1 One Step Formulae 51
4.2 Multistep Formulae 65
5. APPLICATIONS 77
5.1 Sequence Transformations 77
5.2 Linear Multistep Methods 92
5.3 Approximation of Series 97
5.4 Biorthogonal Polynomials 104
5.5 Statistics and Least Squares 114
Appendix 1 A DIRECT PROOF OF THE CHRISTOFFEL
DARBOUX IDENTITY AND A
CONSEQUENCE 127
Appendix 2 DUALITY IN PADE TYPE APPROXIMATION 134
Appendix 3 SYLVESTER S AND SCHWEINS IDENTITIES
IN A VECTOR SPACE 141
REFERENCES 144
INDEX 165
|
| any_adam_object | 1 |
| author | Brezinski, Claude 1941- |
| author_GND | (DE-588)108764737 |
| author_facet | Brezinski, Claude 1941- |
| author_role | aut |
| author_sort | Brezinski, Claude 1941- |
| author_variant | c b cb |
| building | Verbundindex |
| bvnumber | BV004737245 |
| classification_rvk | SK 900 SK 905 |
| ctrlnum | (OCoLC)246623389 (DE-599)BVBBV004737245 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01588nam a2200397 cb4500</leader><controlfield tag="001">BV004737245</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210604 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">920316s1992 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0824786165</subfield><subfield code="9">0-8247-8616-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246623389</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004737245</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-384</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 900</subfield><subfield code="0">(DE-625)143268:</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="084" ind1=" " ind2=" "><subfield code="a">65J10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Brezinski, Claude</subfield><subfield code="d">1941-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)108764737</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Biorthogonality and its applications to numerical analysis</subfield><subfield code="c">Claude Brezinski</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Dekker</subfield><subfield code="c">1992</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">V, 166 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="1" ind2=" "><subfield code="a">Pure and applied mathematics</subfield><subfield code="v">156</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Biorthonormalsystem</subfield><subfield code="0">(DE-588)4282536-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Orthogonale Polynome</subfield><subfield code="0">(DE-588)4172863-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Biorthonormalsystem</subfield><subfield code="0">(DE-588)4282536-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Orthogonale Polynome</subfield><subfield code="0">(DE-588)4172863-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Pure and applied mathematics</subfield><subfield code="v">156</subfield><subfield code="w">(DE-604)BV000001885</subfield><subfield code="9">156</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ 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=002914993&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002914993</subfield></datafield></record></collection> |
| id | DE-604.BV004737245 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:16:57Z |
| institution | BVB |
| isbn | 0824786165 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002914993 |
| oclc_num | 246623389 |
| open_access_boolean | |
| owner | DE-384 DE-12 DE-703 DE-634 DE-83 DE-11 DE-188 DE-706 |
| owner_facet | DE-384 DE-12 DE-703 DE-634 DE-83 DE-11 DE-188 DE-706 |
| physical | V, 166 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Brezinski, Claude 1941- Verfasser (DE-588)108764737 aut Biorthogonality and its applications to numerical analysis Claude Brezinski New York [u.a.] Dekker 1992 V, 166 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 156 Biorthonormalsystem (DE-588)4282536-2 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf Biorthonormalsystem (DE-588)4282536-2 s DE-604 Orthogonale Polynome (DE-588)4172863-4 s Pure and applied mathematics 156 (DE-604)BV000001885 156 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002914993&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brezinski, Claude 1941- Biorthogonality and its applications to numerical analysis Pure and applied mathematics Biorthonormalsystem (DE-588)4282536-2 gnd Orthogonale Polynome (DE-588)4172863-4 gnd |
| subject_GND | (DE-588)4282536-2 (DE-588)4172863-4 |
| title | Biorthogonality and its applications to numerical analysis |
| title_auth | Biorthogonality and its applications to numerical analysis |
| title_exact_search | Biorthogonality and its applications to numerical analysis |
| title_full | Biorthogonality and its applications to numerical analysis Claude Brezinski |
| title_fullStr | Biorthogonality and its applications to numerical analysis Claude Brezinski |
| title_full_unstemmed | Biorthogonality and its applications to numerical analysis Claude Brezinski |
| title_short | Biorthogonality and its applications to numerical analysis |
| title_sort | biorthogonality and its applications to numerical analysis |
| topic | Biorthonormalsystem (DE-588)4282536-2 gnd Orthogonale Polynome (DE-588)4172863-4 gnd |
| topic_facet | Biorthonormalsystem Orthogonale Polynome |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002914993&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
| work_keys_str_mv | AT brezinskiclaude biorthogonalityanditsapplicationstonumericalanalysis |