Completely positive matrices
Resource Information
The work Completely positive matrices represents a distinct intellectual or artistic creation found in University of Missouri-St. Louis Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Completely positive matrices
Resource Information
The work Completely positive matrices represents a distinct intellectual or artistic creation found in University of Missouri-St. Louis Libraries. This resource is a combination of several types including: Work, Language Material, Books.
- Label
- Completely positive matrices
- Statement of responsibility
- Abraham Berman, Naomi Shaked-Monderer
- Language
- eng
- Summary
- Annotation
- Cataloging source
- N$T
- Dewey number
- 512.9/434
- Illustrations
- illustrations
- Index
- index present
- LC call number
- QA188
- LC item number
- .B465 2003eb
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- Summary expansion
- A real matrix is positive semidefinite if it can be decomposed as A=BBT. 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=BBT 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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.umsl.edu/resource/4MF080E28n8/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.umsl.edu/resource/4MF080E28n8/">Completely positive matrices</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.umsl.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.umsl.edu/">University of Missouri-St. Louis Libraries</a></span></span></span></span></div>
