Completely positive matrices:
A real matrix is positive semidefinite if it can be decomposed as A=BB[symbol]. In some applications the matrix B has to be elementwise nonnegative. If such a matrix exists, A is called completely positive. The smallest number of columns of a nonnegative matrix B such that A=BB[symbol] is known as t...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2003
|
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | A real matrix is positive semidefinite if it can be decomposed as A=BB[symbol]. In some applications the matrix B has to be elementwise nonnegative. If such a matrix exists, A is called completely positive. The smallest number of columns of a nonnegative matrix B such that A=BB[symbol] is known as the cp-rank of A. This invaluable book focuses on necessary conditions and sufficient conditions for complete positivity, as well as bounds for the cp-rank. The methods are combinatorial, geometric and algebraic. The required background on nonnegative matrices, cones, graphs and Schur complements is outlined |
| Beschreibung: | x, 206 p. ill |
| ISBN: | 9789812795212 |
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Datensatz im Suchindex
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| author | Berman, Abraham |
| author_facet | Berman, Abraham |
| author_role | aut |
| author_sort | Berman, Abraham |
| author_variant | a b ab |
| building | Verbundindex |
| bvnumber | BV044635679 |
| classification_rvk | SK 220 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00003556 (OCoLC)1012683569 (DE-599)BVBBV044635679 |
| dewey-full | 512.9434 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.9434 |
| dewey-search | 512.9434 |
| dewey-sort | 3512.9434 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044635679 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:47Z |
| institution | BVB |
| isbn | 9789812795212 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030033651 |
| oclc_num | 1012683569 |
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| owner | DE-92 |
| owner_facet | DE-92 |
| physical | x, 206 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Berman, Abraham Verfasser aut Completely positive matrices Abraham Berman, Naomi Shaked-Monderer Singapore World Scientific Pub. Co. c2003 x, 206 p. ill txt rdacontent c rdamedia cr rdacarrier A real matrix is positive semidefinite if it can be decomposed as A=BB[symbol]. In some applications the matrix B has to be elementwise nonnegative. If such a matrix exists, A is called completely positive. The smallest number of columns of a nonnegative matrix B such that A=BB[symbol] is known as the cp-rank of A. This invaluable book focuses on necessary conditions and sufficient conditions for complete positivity, as well as bounds for the cp-rank. The methods are combinatorial, geometric and algebraic. The required background on nonnegative matrices, cones, graphs and Schur complements is outlined Matrices Matrizentheorie (DE-588)4128970-5 gnd rswk-swf Matrizentheorie (DE-588)4128970-5 s 1\p DE-604 Shaked-Monderer, Naomi Sonstige oth Erscheint auch als Druck-Ausgabe 9789812383686 Erscheint auch als Druck-Ausgabe 9812383689 http://www.worldscientific.com/worldscibooks/10.1142/5273#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Berman, Abraham Completely positive matrices Matrices Matrizentheorie (DE-588)4128970-5 gnd |
| subject_GND | (DE-588)4128970-5 |
| title | Completely positive matrices |
| title_auth | Completely positive matrices |
| title_exact_search | Completely positive matrices |
| title_full | Completely positive matrices Abraham Berman, Naomi Shaked-Monderer |
| title_fullStr | Completely positive matrices Abraham Berman, Naomi Shaked-Monderer |
| title_full_unstemmed | Completely positive matrices Abraham Berman, Naomi Shaked-Monderer |
| title_short | Completely positive matrices |
| title_sort | completely positive matrices |
| topic | Matrices Matrizentheorie (DE-588)4128970-5 gnd |
| topic_facet | Matrices Matrizentheorie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/5273#t=toc |
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