Spectrahedra and their shadows:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English German |
| Veröffentlicht: |
2012
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zsfassung in dt. Sprache |
| Beschreibung: | 135 S. graph. Darst. |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV040442268 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 120926s2012 d||| m||| 00||| eng d | ||
| 035 | |a (OCoLC)813453847 | ||
| 035 | |a (DE-599)BVBBV040442268 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng |a ger | |
| 049 | |a DE-355 | ||
| 082 | 0 | |a 516.08 |2 22//ger | |
| 100 | 1 | |a Netzer, Tim |d 1980- |e Verfasser |0 (DE-588)136585213 |4 aut | |
| 245 | 1 | 0 | |a Spectrahedra and their shadows |c vorgelegt von Tim Netzer |
| 264 | 1 | |c 2012 | |
| 300 | |a 135 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Zsfassung in dt. Sprache | ||
| 502 | |a Leipzig, Univ., Habil.-Schr., 2012 | ||
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025290079&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-025290079 | ||
Datensatz im Suchindex
| _version_ | 1804149499025686528 |
|---|---|
| adam_text | IMAGE 1
C O N T E N T S
INTRODUCTION 7
I SPECTRAHEDRA 11
1 DEFINITIONS A N D PRELIMINARIES 1 3
1.1 DEFINITIONS 13
1.2 MOTIVATION 15
1.3 FIRST PROPERTIES AND CONSTRUCTIONS 17
2 R E A L ZERO P O L Y N O M I A L S & R I G I D C O N V E X I T Y 2 1
2.1 DEFINITIONS 21
2.2 T H E MULTIVARIATE HERMITE MATRIX 25
2.3 HYPERBOLIC POLYNOMIALS 29
2.4 RENEGAR DERIVATIVES 32
2.5 SMOOTH APPROXIMATION 34
3 D E T E R M I N A N T A L R E P R E S E N T A T I O N S 3 7
3.1 PRELIMINARIES 37
3.2 BOUNDS ON THE SIZE 38
3.2.1 UPPER BOUNDS 39
3.2.2 LOWER BOUNDS 42
3.2.3 REPRESENTATIONS OF HYPERBOLIC POLYNOMIALS 45
3.3 POLYNOMIALS WITHOUT REPRESENTATIONS 46
3.3.1 ALMOST NO POLYNOMIAL HAS A REPRESENTATION 46
3.3.2 CONVEX CONES EXAMPLES 48
3.3.3 COMPACT EXAMPLES 50
3.3.4 RENEGAR DERIVATIVES 51
4
HTTP://D-NB.INFO/1025098196
IMAGE 2
C O N T E N T S 5
3.3.5 POLYNOMIALS OF WHICH NO POWER HAS A REPRESENTATION . 52 3.4
POLYNOMIALS WITH REPRESENTATIONS 57
3.4.1 A GENERAL CONSTRUCTION METHOD 57
3.4.2 REPRESENTING POWERS OF REAL ZERO POLYNOMIALS 63
3.4.3 RATIONAL REPRESENTATIONS 72
II SPECTRAHEDRAL S H A D O W S 7 7
4 DEFINITIONS A N D FIRST R E S U L T S 7 9
4.1 DEFINITIONS 79
4.2 LASSERRE RELAXATIONS 84
4.3 CONVEX HULLS 91
4.4 T H E RESULTS OF HELTON AND NIE 98
5 LIMITATIONS O F T H E R E L A X A T I O N M E T H O D S 1 0 1
5.1 PRELIMINARIES 101
5.2 MAIN RESULT 104
5.3 EXAMPLES 108
6 CLOSURES A N D INTERIORS 1 1 1
6.1 T H E CLOSURE I L L
6.2 SOME HELPFUL RESULTS 112
6.3 INTERIORS 113
R E F E R E N C E S 121
D E U T S C H E Z U S A M M E N F A S S U N G 1 2 7
|
| any_adam_object | 1 |
| author | Netzer, Tim 1980- |
| author_GND | (DE-588)136585213 |
| author_facet | Netzer, Tim 1980- |
| author_role | aut |
| author_sort | Netzer, Tim 1980- |
| author_variant | t n tn |
| building | Verbundindex |
| bvnumber | BV040442268 |
| ctrlnum | (OCoLC)813453847 (DE-599)BVBBV040442268 |
| dewey-full | 516.08 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.08 |
| dewey-search | 516.08 |
| dewey-sort | 3516.08 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01100nam a2200301 c 4500</leader><controlfield tag="001">BV040442268</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">120926s2012 d||| m||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)813453847</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV040442268</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield><subfield code="a">ger</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.08</subfield><subfield code="2">22//ger</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Netzer, Tim</subfield><subfield code="d">1980-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)136585213</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Spectrahedra and their shadows</subfield><subfield code="c">vorgelegt von Tim Netzer</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">135 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="500" ind1=" " ind2=" "><subfield code="a">Zsfassung in dt. Sprache</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">Leipzig, Univ., Habil.-Schr., 2012</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="856" ind1="4" ind2="2"><subfield code="m">DNB 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=025290079&sequence=000001&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:BVB01-025290079</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV040442268 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:24:00Z |
| institution | BVB |
| language | English German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025290079 |
| oclc_num | 813453847 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR |
| owner_facet | DE-355 DE-BY-UBR |
| physical | 135 S. graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| record_format | marc |
| spelling | Netzer, Tim 1980- Verfasser (DE-588)136585213 aut Spectrahedra and their shadows vorgelegt von Tim Netzer 2012 135 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zsfassung in dt. Sprache Leipzig, Univ., Habil.-Schr., 2012 (DE-588)4113937-9 Hochschulschrift gnd-content DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025290079&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Netzer, Tim 1980- Spectrahedra and their shadows |
| subject_GND | (DE-588)4113937-9 |
| title | Spectrahedra and their shadows |
| title_auth | Spectrahedra and their shadows |
| title_exact_search | Spectrahedra and their shadows |
| title_full | Spectrahedra and their shadows vorgelegt von Tim Netzer |
| title_fullStr | Spectrahedra and their shadows vorgelegt von Tim Netzer |
| title_full_unstemmed | Spectrahedra and their shadows vorgelegt von Tim Netzer |
| title_short | Spectrahedra and their shadows |
| title_sort | spectrahedra and their shadows |
| topic_facet | Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025290079&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT netzertim spectrahedraandtheirshadows |