Decomposition of generalized polynomial symmetric matrices

Bapat, R. B. ; Jain, S. K. ; Tynan, John (2004) Decomposition of generalized polynomial symmetric matrices Linear Algebra and its Applications, 376 . pp. 69-83. ISSN 0024-3795

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Characterization of nonnegative matrices A which satisfy the equation (AP)T = tΣi=1 αiAmi, where p<m1<m2 <......<mt are positive integers and ai>0 for all i is given as a direct sum of matrices of special types. Applications to stochastic and {0, 1} matrices are derived, thus generalizing a number of earlier results.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Nonnegative Matrices; Group Inverse; Drazin Pseudo Inverse; Stochastic Matrices; {0; 1} Matrices
ID Code:81604
Deposited On:07 Feb 2012 05:11
Last Modified:07 Feb 2012 05:11

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