Condition: the geometry of numerical algorithms
Gespeichert in:
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV041378203 | ||
| 003 | DE-604 | ||
| 005 | 20240626 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 131024s2013 xx |||| o|||| 00||| eng d | ||
| 020 | |a 9783642388965 |c Online |9 978-3-642-38896-5 | ||
| 024 | 7 | |a 10.1007/978-3-642-38896-5 |2 doi | |
| 035 | |a (OCoLC)859539400 | ||
| 035 | |a (DE-599)BVBBV041378203 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-634 |a DE-20 |a DE-703 |a DE-19 |a DE-91 |a DE-739 |a DE-384 |a DE-83 | ||
| 084 | |a SK 900 |0 (DE-625)143268: |2 rvk | ||
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Bürgisser, Peter |d 1962- |0 (DE-588)1041607911 |4 aut | |
| 245 | 1 | 0 | |a Condition |b the geometry of numerical algorithms |c Peter Bürgisser ; Felipe Cucker |
| 264 | 1 | |a Heiderberg ; New York ; Dodrecht ; London |b Springer |c 2013 | |
| 300 | |a 1 Online-Ressource (XXXI, 554 Seiten) |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Grundlehren der mathematischen Wissenschaften |v 349 | |
| 650 | 0 | 7 | |a Numerische Mathematik |0 (DE-588)4042805-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Konditionszahl |0 (DE-588)4598523-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algorithmus |0 (DE-588)4001183-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Konditionszahl |0 (DE-588)4598523-6 |D s |
| 689 | 0 | 1 | |a Numerische Mathematik |0 (DE-588)4042805-9 |D s |
| 689 | 0 | 2 | |a Algorithmus |0 (DE-588)4001183-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Cucker, Felipe |d 1958- |0 (DE-588)133832783 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-3-642-38895-8 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-3-642-38895-8 |
| 830 | 0 | |a Grundlehren der mathematischen Wissenschaften |v 349 |w (DE-604)BV049758308 |9 349 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-642-38896-5 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026826228&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026826228&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Abstract |
| 912 | |a ZDB-2-SMA | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-026826228 | |
| 966 | e | |u https://doi.org/10.1007/978-3-642-38896-5 |l DE-634 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-642-38896-5 |l DE-91 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-642-38896-5 |l DE-384 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-642-38896-5 |l DE-19 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-642-38896-5 |l DE-703 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-642-38896-5 |l DE-20 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-642-38896-5 |l DE-739 |p ZDB-2-SMA |x Verlag |3 Volltext | |
Datensatz im Suchindex
| DE-BY-TUM_katkey | 1958807 |
|---|---|
| _version_ | 1821935161679282177 |
| adam_text | CONDITION
/ BUERGISSER, PETER
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
OVERTURE: ON THE CONDITION OF NUMERICAL PROBLEMS AND THE NUMBERS THAT
MEASURE IT
I CONDITION IN LINEAR ALGEBRA (ADAGIO): 1 NORMWISE CONDITION OF LINEAR
EQUATION SOLVING
2 PROBABILISTIC ANALYSIS
3 ERROR ANALYSIS OF TRIANGULAR LINEAR SYSTEMS
4 PROBABILISTIC ANALYSIS OF RECTANGULAR MATRICES
5 CONDITION NUMBERS AND ITERATIVE ALGORITHMS
INTERMEZZO I: CONDITION OF STRUCTURED DATA
II CONDITION IN LINEAR OPTIMIZATION (ANDANTE): 6 A CONDITION NUMBER FOR
POLYHEDRAL CONIC SYSTEMS
7 THE ELLIPSOID METHOD
8 LINEAR PROGRAMS AND THEIR SOLUTION SETS
9 INTERIOR-POINT METHODS
10 THE LINEAR PROGRAMMING FEASIBILITY PROBLEM
11 CONDITION AND LINEAR PROGRAMMING OPTIMIZATION
12 AVERAGE ANALYSIS OF THE RCC CONDITION NUMBER
13 PROBABILISTIC ANALYSES OF THE GCC CONDITION NUMBER
INTERMEZZO II: THE CONDITION OF THE CONDITION
III CONDITION IN POLYNOMIAL EQUATION SOLVING (ALLEGRO CON BRIO): 14 A
GEOMETRIC FRAMEWORK FOR CONDITION NUMBERS
15 HOMOTOPY CONTINUATION AND NEWTON S METHOD
16 HOMOGENEOUS POLYNOMIAL SYSTEMS
17 SMALE S 17TH PROBLEM: I
18 SMALE S 17TH PROBLEM: II
19 REAL POLYNOMIAL SYSTEMS
20 PROBABILISTIC ANALYSIS OF CONIC CONDITION NUMBERS: I. THE COMPLEX
CASE 4
21 PROBABILISTIC ANALYSIS OF CONIC CONDITION NUMBERS: II. THE REAL CASE
APPENDIX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
CONDITION
/ BUERGISSER, PETER
: 2013
ABSTRACT / INHALTSTEXT
THIS BOOK GATHERS THREADS THAT HAVE EVOLVED ACROSS DIFFERENT
MATHEMATICAL DISCIPLINES INTO SEAMLESS NARRATIVE. IT DEALS WITH
CONDITION AS A MAIN ASPECT IN THE UNDERSTANDING OF THE PERFORMANCE
REGARDING BOTH STABILITY AND COMPLEXITY
OF NUMERICAL ALGORITHMS. WHILE THE ROLE OF CONDITION WAS SHAPED IN THE
LAST HALF-CENTURY, SO FAR THERE HAS NOT BEEN A MONOGRAPH TREATING THIS
SUBJECT IN A UNIFORM AND SYSTEMATIC WAY. THE BOOK PUTS SPECIAL
EMPHASIS ON THE PROBABILISTIC ANALYSIS OF NUMERICAL ALGORITHMS VIA THE
ANALYSIS OF THE CORRESPONDING CONDITION. THE EXPOSITION S LEVEL
INCREASES ALONG THE BOOK, STARTING IN THE CONTEXT OF LINEAR ALGEBRA AT
AN UNDERGRADUATE LEVEL AND REACHING IN ITS THIRD PART THE RECENT
DEVELOPMENTS AND PARTIAL SOLUTIONS FOR SMALE S 17TH PROBLEM WHICH CAN BE
EXPLAINED WITHIN A GRADUATE COURSE. ITS MIDDLE PART CONTAINS A
CONDITION-BASED COURSE ON LINEAR PROGRAMMING THAT FILLS A GAP BETWEEN
THE CURRENT ELEMENTARY EXPOSITIONS OF THE SUBJECT BASED ON THE SIMPLEX
METHOD AND THOSE FOCUSING ON CONVEX PROGRAMMING
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Bürgisser, Peter 1962- Cucker, Felipe 1958- |
| author_GND | (DE-588)1041607911 (DE-588)133832783 |
| author_facet | Bürgisser, Peter 1962- Cucker, Felipe 1958- |
| author_role | aut aut |
| author_sort | Bürgisser, Peter 1962- |
| author_variant | p b pb f c fc |
| building | Verbundindex |
| bvnumber | BV041378203 |
| classification_rvk | SK 900 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)859539400 (DE-599)BVBBV041378203 |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-38896-5 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03045nam a2200565 cb4500</leader><controlfield tag="001">BV041378203</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240626 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">131024s2013 xx |||| o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642388965</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-642-38896-5</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-642-38896-5</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)859539400</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV041378203</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-83</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">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bürgisser, Peter</subfield><subfield code="d">1962-</subfield><subfield code="0">(DE-588)1041607911</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Condition</subfield><subfield code="b">the geometry of numerical algorithms</subfield><subfield code="c">Peter Bürgisser ; Felipe Cucker</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Heiderberg ; New York ; Dodrecht ; London</subfield><subfield code="b">Springer</subfield><subfield code="c">2013</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XXXI, 554 Seiten)</subfield><subfield code="b">Diagramme</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Grundlehren der mathematischen Wissenschaften</subfield><subfield code="v">349</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerische Mathematik</subfield><subfield code="0">(DE-588)4042805-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Konditionszahl</subfield><subfield code="0">(DE-588)4598523-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algorithmus</subfield><subfield code="0">(DE-588)4001183-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Konditionszahl</subfield><subfield code="0">(DE-588)4598523-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Numerische Mathematik</subfield><subfield code="0">(DE-588)4042805-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Algorithmus</subfield><subfield code="0">(DE-588)4001183-5</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">Cucker, Felipe</subfield><subfield code="d">1958-</subfield><subfield code="0">(DE-588)133832783</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-3-642-38895-8</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-3-642-38895-8</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Grundlehren der mathematischen Wissenschaften</subfield><subfield code="v">349</subfield><subfield code="w">(DE-604)BV049758308</subfield><subfield code="9">349</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-642-38896-5</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</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=026826228&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</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=026826228&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-026826228</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-642-38896-5</subfield><subfield code="l">DE-634</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-642-38896-5</subfield><subfield code="l">DE-91</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-642-38896-5</subfield><subfield code="l">DE-384</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-642-38896-5</subfield><subfield code="l">DE-19</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-642-38896-5</subfield><subfield code="l">DE-703</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-642-38896-5</subfield><subfield code="l">DE-20</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-642-38896-5</subfield><subfield code="l">DE-739</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV041378203 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T16:46:06Z |
| institution | BVB |
| isbn | 9783642388965 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026826228 |
| oclc_num | 859539400 |
| open_access_boolean | |
| owner | DE-634 DE-20 DE-703 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-739 DE-384 DE-83 |
| owner_facet | DE-634 DE-20 DE-703 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-739 DE-384 DE-83 |
| physical | 1 Online-Ressource (XXXI, 554 Seiten) Diagramme |
| psigel | ZDB-2-SMA |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Springer |
| record_format | marc |
| series | Grundlehren der mathematischen Wissenschaften |
| series2 | Grundlehren der mathematischen Wissenschaften |
| spellingShingle | Bürgisser, Peter 1962- Cucker, Felipe 1958- Condition the geometry of numerical algorithms Grundlehren der mathematischen Wissenschaften Numerische Mathematik (DE-588)4042805-9 gnd Konditionszahl (DE-588)4598523-6 gnd Algorithmus (DE-588)4001183-5 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4598523-6 (DE-588)4001183-5 |
| title | Condition the geometry of numerical algorithms |
| title_auth | Condition the geometry of numerical algorithms |
| title_exact_search | Condition the geometry of numerical algorithms |
| title_full | Condition the geometry of numerical algorithms Peter Bürgisser ; Felipe Cucker |
| title_fullStr | Condition the geometry of numerical algorithms Peter Bürgisser ; Felipe Cucker |
| title_full_unstemmed | Condition the geometry of numerical algorithms Peter Bürgisser ; Felipe Cucker |
| title_short | Condition |
| title_sort | condition the geometry of numerical algorithms |
| title_sub | the geometry of numerical algorithms |
| topic | Numerische Mathematik (DE-588)4042805-9 gnd Konditionszahl (DE-588)4598523-6 gnd Algorithmus (DE-588)4001183-5 gnd |
| topic_facet | Numerische Mathematik Konditionszahl Algorithmus |
| url | https://doi.org/10.1007/978-3-642-38896-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026826228&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026826228&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV049758308 |
| work_keys_str_mv | AT burgisserpeter conditionthegeometryofnumericalalgorithms AT cuckerfelipe conditionthegeometryofnumericalalgorithms |