Computing the zeros of analytic functions:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2000
|
| Schriftenreihe: | Lecture notes in mathematics
1727 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 111 S. graph. Darst. |
| ISBN: | 3540671625 |
Internformat
MARC
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| 100 | 1 | |a Kravanja, Peter |d 1971- |e Verfasser |0 (DE-588)121766926 |4 aut | |
| 245 | 1 | 0 | |a Computing the zeros of analytic functions |c Peter Kravanja ; Marc VanBarel |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2000 | |
| 300 | |a VI, 111 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1727 | |
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Datensatz im Suchindex
| _version_ | 1804127735549788160 |
|---|---|
| adam_text | Contents
1. Zeros of analytic functions 1
1.1 Introduction 1
1.1.1 Computing the total number of zeros with certainty .. 4
1.1.2 An overview of other approaches 8
1.2 Formal orthogonal polynomials 10
1.3 An accurate algorithm to compute zeros of FOPs 21
1.4 Numerical examples 26
1.5 The software package ZEAL 34
1.5.1 The approach taken by ZEAL 35
1.5.2 The structure of ZEAL 37
1.5.3 ZEAL s user interface 40
1.5.4 A few examples of how to use ZEAL 43
1.5.5 Concluding remarks 50
1.6 A derivative free approach 51
2. Clusters of zeros of analytic functions 61
2.1 How to obtain the centre of a cluster and its weight 61
2.2 A numerical example 65
2.3 Rational interpolation at roots of unity 69
2.4 More numerical examples 79
3. Zeros and poles of meromorphic functions 83
3.1 Introduction 83
3.2 Theoretical considerations and numerical algorithm 85
3.3 A numerical example 88
4. Systems of analytic equations 91
4.1 Introduction 92
4.2 A multidimensional logarithmic residue formula 93
4.3 The algorithm 97
4.4 Numerical examples 101
References 105
|
| any_adam_object | 1 |
| author | Kravanja, Peter 1971- Barel, Marc van 1960- |
| author_GND | (DE-588)121766926 (DE-588)121766969 |
| author_facet | Kravanja, Peter 1971- Barel, Marc van 1960- |
| author_role | aut aut |
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| building | Verbundindex |
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| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3.L28 no. 1727 QA331 |
| callnumber-search | QA3.L28 no. 1727 QA331 |
| callnumber-sort | QA 13 L28 NO 41727 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 SK 750 |
| classification_tum | MAT 300f |
| ctrlnum | (OCoLC)247271615 (DE-599)BVBBV013038527 |
| dewey-full | 510 513 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 513 - Arithmetic |
| dewey-raw | 510 513 |
| dewey-search | 510 513 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV013038527 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:38:04Z |
| institution | BVB |
| isbn | 3540671625 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008883086 |
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| physical | VI, 111 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Kravanja, Peter 1971- Verfasser (DE-588)121766926 aut Computing the zeros of analytic functions Peter Kravanja ; Marc VanBarel Berlin [u.a.] Springer 2000 VI, 111 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1727 Analytische Funktion - Nullstelle - Numerisches Verfahren Nullstelle (DE-588)4140515-8 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Nullstelle (DE-588)4140515-8 s Analytische Funktion (DE-588)4142348-3 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Barel, Marc van 1960- Verfasser (DE-588)121766969 aut Lecture notes in mathematics 1727 (DE-604)BV000676446 1727 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008883086&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kravanja, Peter 1971- Barel, Marc van 1960- Computing the zeros of analytic functions Lecture notes in mathematics Analytische Funktion - Nullstelle - Numerisches Verfahren Nullstelle (DE-588)4140515-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Analytische Funktion (DE-588)4142348-3 gnd |
| subject_GND | (DE-588)4140515-8 (DE-588)4128130-5 (DE-588)4142348-3 (DE-588)4113937-9 |
| title | Computing the zeros of analytic functions |
| title_auth | Computing the zeros of analytic functions |
| title_exact_search | Computing the zeros of analytic functions |
| title_full | Computing the zeros of analytic functions Peter Kravanja ; Marc VanBarel |
| title_fullStr | Computing the zeros of analytic functions Peter Kravanja ; Marc VanBarel |
| title_full_unstemmed | Computing the zeros of analytic functions Peter Kravanja ; Marc VanBarel |
| title_short | Computing the zeros of analytic functions |
| title_sort | computing the zeros of analytic functions |
| topic | Analytische Funktion - Nullstelle - Numerisches Verfahren Nullstelle (DE-588)4140515-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Analytische Funktion (DE-588)4142348-3 gnd |
| topic_facet | Analytische Funktion - Nullstelle - Numerisches Verfahren Nullstelle Numerisches Verfahren Analytische Funktion Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008883086&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT kravanjapeter computingthezerosofanalyticfunctions AT barelmarcvan computingthezerosofanalyticfunctions |