Polynômes orthogonaux formels: applications
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | French |
| Published: |
Berlin [u.a.]
Springer
1983
|
| Series: | Lecture notes in mathematics
974 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 625 S. Ill. |
| ISBN: | 3540119841 0387119841 |
Staff View
MARC
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| 100 | 1 | |a Draux, André |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Polynômes orthogonaux formels |b applications |c André Draux |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1983 | |
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| 650 | 7 | |a Toepassingen |2 gtt | |
| 650 | 4 | |a Numerical analysis | |
| 650 | 4 | |a Orthogonal polynomials | |
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Record in the Search Index
| _version_ | 1804114623374295040 |
|---|---|
| adam_text | TABLE DES MATIERES
*
Pag £6
1 POLYNOMES ORTHOGONAUX /
1.1 Définition 4
1.2 Etude du système linéaire (M ). Déterminants de Hankel.. 5
1.3 Existence des polynômes orthogonaux 36
1.4 Relation de récurrence 54
1.5 Propriétés des zéros des polynômes. Détection des blocs
de zéros dans la table H 77
1.6 Fonctionnelle linéaire liée à deux polynômes premiers
entre eux SB
1.7 Formalisme matriciel 90
2 SYSTEMES ADJACENTS DE POLYNOMES ORTHOGONAUX 97
2.1 Propriétés générales des systèmes adjacents de
polynômes orthogonaux 98
2.2 Algorithme qd 138
2.3 Polynômes orthogonaux réciproques 169
2.4 Forme progressive de l algorithme qd 141
3 FONCTIONNELLES LINEAIRES PARTICULIERES 178
3.1 Fonctionnelles linéaires semi définies positives ^2
3.2 Fonctionnelles linéaires H semi définies positives.... 201
3.3 Fonctionnelles linéaires lacunaires d ordre s+1 213
3.4 Fonctions de poids polynomiales 237
4 RELATIONS TOUS AZIMUTS 275
4.1 Relations avec les déterminants de Hankel 279
4.2 Déplacements diagonaux 296
4.3 Polynômes W^m)(x) 306
4.4 Déplacements antidiagonaux 322
PageA
4.5 Déplacements horizontaux dans la table P 332
4.6 Polynômes semi orthogonaux 342
4.7 Polynômes orthogonaux sur le cercle 352
4.8 Déplacements verticaux dans la table P 377
4.9 Algorithmes de calcul des polynômes orthogonaux
réguliers 391
5 QUADRATURES DE GAUSS 405
5.1 Généralités 407
5.2 Cas d une fonctionnelle linéaire semi définie positive... 418
5.3 Cas d une fonctionnelle linéaire lacunaire d ordre s+1... 422
5.4 Cas d une fonction de poids de la forme xw(x) 433
6 APPROXIMANTS DE PADE EN DEUX POINTS 439
6.1 Définition des approximants de Padé en deux points 442
6.2 Existence et unicité des approximants de Padé en
deux points. Etude des blocs 44
6.3 Relations de récurrence 477
6.4 Propriétés des zéros des polynômes P (x) et Q (x).... 5/2
6.5 Table F normale. Table F2 non normale 532
6.6 Cas des fonctionnelles linéaires définies positives 533
6.7 Etude de l erreur 538
6.8 Polynômes de Laurent orthogonaux 548
6.9 Détermination des tables P2 et Q 551
7 APPROXIMANTS DES SERIES DE FONCTIONS 553
7.1 Définition 555
7.2 Existence et unicité des approximants 564
7.3 Expression de l erreur et théorèmesde convergence 568
7.4 Propriétés des approximants des séries de fonctions 573
7.5 Approximants de type exponentiel 581
7.6 Existence et unicité des approximants de type exponentiel. 585
7.7 Combinaisons linéaires d exponentielles 588
7.8 Problèmes d intégration et de dérivation 595
CONCLUSION PROBLEMES OUVERTS 601
BIBLIOGRAPHIE 603
INDEX 613
|
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| author | Draux, André |
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| callnumber-first | Q - Science |
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| ctrlnum | (OCoLC)9277778 (DE-599)BVBBV000163939 |
| dewey-full | 519.4 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics 510 - Mathematics |
| dewey-raw | 519.4 510 |
| dewey-search | 519.4 510 |
| dewey-sort | 3519.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:09:40Z |
| institution | BVB |
| isbn | 3540119841 0387119841 |
| language | French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000092994 |
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| physical | VI, 625 S. Ill. |
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| publishDate | 1983 |
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| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Draux, André Verfasser aut Polynômes orthogonaux formels applications André Draux Berlin [u.a.] Springer 1983 VI, 625 S. Ill. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 974 Analyse numérique Orthogonale reeksen gtt Polynômes orthogonaux Toepassingen gtt Numerical analysis Orthogonal polynomials Polynom (DE-588)4046711-9 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 s DE-604 Polynom (DE-588)4046711-9 s Lecture notes in mathematics 974 (DE-604)BV000676446 974 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000092994&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Draux, André Polynômes orthogonaux formels applications Lecture notes in mathematics Analyse numérique Orthogonale reeksen gtt Polynômes orthogonaux Toepassingen gtt Numerical analysis Orthogonal polynomials Polynom (DE-588)4046711-9 gnd Orthogonale Polynome (DE-588)4172863-4 gnd |
| subject_GND | (DE-588)4046711-9 (DE-588)4172863-4 |
| title | Polynômes orthogonaux formels applications |
| title_auth | Polynômes orthogonaux formels applications |
| title_exact_search | Polynômes orthogonaux formels applications |
| title_full | Polynômes orthogonaux formels applications André Draux |
| title_fullStr | Polynômes orthogonaux formels applications André Draux |
| title_full_unstemmed | Polynômes orthogonaux formels applications André Draux |
| title_short | Polynômes orthogonaux formels |
| title_sort | polynomes orthogonaux formels applications |
| title_sub | applications |
| topic | Analyse numérique Orthogonale reeksen gtt Polynômes orthogonaux Toepassingen gtt Numerical analysis Orthogonal polynomials Polynom (DE-588)4046711-9 gnd Orthogonale Polynome (DE-588)4172863-4 gnd |
| topic_facet | Analyse numérique Orthogonale reeksen Polynômes orthogonaux Toepassingen Numerical analysis Orthogonal polynomials Polynom Orthogonale Polynome |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000092994&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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