Common zeros of polynomials in several variables and higher dimensional quadrature:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow, Essex
Longman
1994
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Pitman research notes in mathematics series
312 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 119 S. |
| ISBN: | 0582246709 |
Internformat
MARC
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| 100 | 1 | |a Xu, Yuan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Common zeros of polynomials in several variables and higher dimensional quadrature |c Yuan Xu |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow, Essex |b Longman |c 1994 | |
| 300 | |a 119 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pitman research notes in mathematics series |v 312 | |
| 650 | 0 | 7 | |a Nullstelle |0 (DE-588)4140515-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Polynom |0 (DE-588)4046711-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mehrere Variable |0 (DE-588)4277015-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Polynom |0 (DE-588)4046711-9 |D s |
| 689 | 0 | 1 | |a Mehrere Variable |0 (DE-588)4277015-4 |D s |
| 689 | 0 | 2 | |a Nullstelle |0 (DE-588)4140515-8 |D s |
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Datensatz im Suchindex
| _version_ | 1804124491654103040 |
|---|---|
| adam_text | TABLE OF CONTENTS
Preface
1. Introduction 1
1.1 Review of the theory in one variable 1
1.2 Background to the theory in several variables 3
1.3 Outline of the content 7
2. Preliminaries and Lemmas 11
2.1 Orthogonal polynomials in several variables 11
2.2 Centrally symmetric linear functional 19
2.1 Lemmas 23
3. Motivations 27
3.1 Zeros for a special functional 27
3.2 Necessary conditions for the existence of minimal cubature formula 29
3.3 Definitions 32
4. Common Zeros of Polynomials in Several Variables: First Case 34
4.1 Characterization of zeros 35
4.2 A Christoffel Darboux formula 42
4.3 Lagrange interpolation 45
4.4 Cubature formula of degree 2n 1 50
5. Moller s Lower Bound for Cubature Formula 53
5.1 The first lower bound 54
5.2 Moller s first lower bound 57
5.3 Cubature formulae attaining the lower bound 62
5.4 Moller s second lower bound 67
6. Examples 72
6.1 Preliminaries 72
6.2 Examples: Chebyshev weight function 74
6.3 Examples: product weight function 79
7. Common Zeros of Polynomials in Several Variables: General Case 85
7.1 Characterization of zeros 86
7.2 Modified Christoffel Darboux formula 93
7.3 Cubature formula of degree In — 1 96
8. Cubature Formulae of Even Degree 99
8.1 Preliminaries 99
8.2 Characterization 101
8.3 Example 105
9. Final Discussions 108
9.1 Cubature formula of degree 2n — s 108
9.2 Construction of cubature formula, afterthoughts 112
References 116
|
| any_adam_object | 1 |
| author | Xu, Yuan |
| author_facet | Xu, Yuan |
| author_role | aut |
| author_sort | Xu, Yuan |
| author_variant | y x yx |
| building | Verbundindex |
| bvnumber | BV010101639 |
| classification_rvk | SI 880 SK 920 |
| ctrlnum | (OCoLC)832563199 (DE-599)BVBBV010101639 |
| dewey-full | 515.624 512.942 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 512 - Algebra |
| dewey-raw | 515.624 512.942 |
| dewey-search | 515.624 512.942 |
| dewey-sort | 3515.624 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV010101639 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:46:31Z |
| institution | BVB |
| isbn | 0582246709 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006706025 |
| oclc_num | 832563199 |
| open_access_boolean | |
| owner | DE-12 DE-739 DE-11 DE-188 |
| owner_facet | DE-12 DE-739 DE-11 DE-188 |
| physical | 119 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Longman |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Xu, Yuan Verfasser aut Common zeros of polynomials in several variables and higher dimensional quadrature Yuan Xu 1. publ. Harlow, Essex Longman 1994 119 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 312 Nullstelle (DE-588)4140515-8 gnd rswk-swf Polynom (DE-588)4046711-9 gnd rswk-swf Mehrere Variable (DE-588)4277015-4 gnd rswk-swf Polynom (DE-588)4046711-9 s Mehrere Variable (DE-588)4277015-4 s Nullstelle (DE-588)4140515-8 s DE-604 Pitman research notes in mathematics series 312 (DE-604)BV000022845 312 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006706025&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Xu, Yuan Common zeros of polynomials in several variables and higher dimensional quadrature Pitman research notes in mathematics series Nullstelle (DE-588)4140515-8 gnd Polynom (DE-588)4046711-9 gnd Mehrere Variable (DE-588)4277015-4 gnd |
| subject_GND | (DE-588)4140515-8 (DE-588)4046711-9 (DE-588)4277015-4 |
| title | Common zeros of polynomials in several variables and higher dimensional quadrature |
| title_auth | Common zeros of polynomials in several variables and higher dimensional quadrature |
| title_exact_search | Common zeros of polynomials in several variables and higher dimensional quadrature |
| title_full | Common zeros of polynomials in several variables and higher dimensional quadrature Yuan Xu |
| title_fullStr | Common zeros of polynomials in several variables and higher dimensional quadrature Yuan Xu |
| title_full_unstemmed | Common zeros of polynomials in several variables and higher dimensional quadrature Yuan Xu |
| title_short | Common zeros of polynomials in several variables and higher dimensional quadrature |
| title_sort | common zeros of polynomials in several variables and higher dimensional quadrature |
| topic | Nullstelle (DE-588)4140515-8 gnd Polynom (DE-588)4046711-9 gnd Mehrere Variable (DE-588)4277015-4 gnd |
| topic_facet | Nullstelle Polynom Mehrere Variable |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006706025&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
| work_keys_str_mv | AT xuyuan commonzerosofpolynomialsinseveralvariablesandhigherdimensionalquadrature |