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...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2003
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| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | 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 |
| Physical Description: | x, 206 p. ill |
| ISBN: | 9789812795212 |
Staff View
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| id | DE-604.BV044635679 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:47Z |
| institution | BVB |
| isbn | 9789812795212 |
| language | English |
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| physical | x, 206 p. ill |
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| publishDate | 2003 |
| publishDateSearch | 2003 |
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| publisher | World Scientific Pub. Co. |
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| 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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