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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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.laa.2003.06.003
Abstract
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 |
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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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