Computing the zeros of analytic functions:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2000
|
| Series: | Lecture notes in mathematics
1727 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 111 S. graph. Darst. |
| ISBN: | 3540671625 |
Staff View
MARC
| LEADER | 00000nam a22000008cb4500 | ||
|---|---|---|---|
| 001 | BV013038527 | ||
| 003 | DE-604 | ||
| 005 | 20020627 | ||
| 007 | t | ||
| 008 | 000215s2000 gw d||| m||| 00||| eng d | ||
| 016 | 7 | |a 958381887 |2 DE-101 | |
| 020 | |a 3540671625 |9 3-540-67162-5 | ||
| 035 | |a (OCoLC)247271615 | ||
| 035 | |a (DE-599)BVBBV013038527 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-355 |a DE-91G |a DE-739 |a DE-824 |a DE-19 |a DE-706 |a DE-634 |a DE-83 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA3.L28 no. 1727 | |
| 050 | 0 | |a QA331 | |
| 082 | 0 | |a 510 | |
| 082 | 0 | |a 513 | |
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a SK 750 |0 (DE-625)143254: |2 rvk | ||
| 084 | |a 65E05 |2 msc | ||
| 084 | |a 65H05 |2 msc | ||
| 084 | |a 30C15 |2 msc | ||
| 084 | |a MAT 300f |2 stub | ||
| 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 | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1727 | |
| 650 | 4 | |a Analytische Funktion - Nullstelle - Numerisches Verfahren | |
| 650 | 0 | 7 | |a Nullstelle |0 (DE-588)4140515-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Analytische Funktion |0 (DE-588)4142348-3 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Nullstelle |0 (DE-588)4140515-8 |D s |
| 689 | 0 | 1 | |a Analytische Funktion |0 (DE-588)4142348-3 |D s |
| 689 | 0 | 2 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Barel, Marc van |d 1960- |e Verfasser |0 (DE-588)121766969 |4 aut | |
| 830 | 0 | |a Lecture notes in mathematics |v 1727 |w (DE-604)BV000676446 |9 1727 | |
| 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=008883086&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-008883086 | ||
Record in the Search Index
| _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 |
| author_sort | Kravanja, Peter 1971- |
| author_variant | p k pk m v b mv mvb |
| building | Verbundindex |
| bvnumber | BV013038527 |
| 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 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02159nam a22005538cb4500</leader><controlfield tag="001">BV013038527</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20020627 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">000215s2000 gw d||| m||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">958381887</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540671625</subfield><subfield code="9">3-540-67162-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)247271615</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013038527</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="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</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></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3.L28 no. 1727</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA331</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">513</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 750</subfield><subfield code="0">(DE-625)143254:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">65E05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">65H05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">30C15</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 300f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kravanja, Peter</subfield><subfield code="d">1971-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)121766926</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Computing the zeros of analytic functions</subfield><subfield code="c">Peter Kravanja ; Marc VanBarel</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 111 S.</subfield><subfield code="b">graph. Darst.</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">Lecture notes in mathematics</subfield><subfield code="v">1727</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analytische Funktion - Nullstelle - Numerisches Verfahren</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nullstelle</subfield><subfield code="0">(DE-588)4140515-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Analytische Funktion</subfield><subfield code="0">(DE-588)4142348-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nullstelle</subfield><subfield code="0">(DE-588)4140515-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Analytische Funktion</subfield><subfield code="0">(DE-588)4142348-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</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">Barel, Marc van</subfield><subfield code="d">1960-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)121766969</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">1727</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">1727</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=008883086&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:BVB01-008883086</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| 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 |
| oclc_num | 247271615 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-739 DE-824 DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-739 DE-824 DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-11 DE-188 |
| 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 |