A test for copositive matrices

The paper presents necessary and sufficient conditions that a symmetric matrix be copositive or strictly copositive. The conditions are given in terms of the eigenvalues and eigenvectors of the principal submatrices of the given matrix.

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Bibliographic Details
Published in:Linear algebra and its applications 2000-07, Vol.313 (1), p.203-206
Main Author: Kaplan, Wilfred
Format: Article
Language:English
Subjects:
Copositive matrices
Eigenvalues
Optimization
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Description
Summary:The paper presents necessary and sufficient conditions that a symmetric matrix be copositive or strictly copositive. The conditions are given in terms of the eigenvalues and eigenvectors of the principal submatrices of the given matrix.
ISSN:0024-3795
1873-1856
DOI:10.1016/S0024-3795(00)00138-5