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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 34, Issue 1, Pages 1 - 11 (August 2014)

POSITIVE DEFINITENESS TO A BLOCK MATRIX WITH RESTRICTIONS

Zhiwei Shi

Abstract:

We consider the positive definiteness to a block matrix

with restrictions

We derive necessary and sufficient conditions for the matrix inequalities

Keywords and phrases:

Moore-Penrose inverse, rank, inertia, matrix inequalities.

Number of Downloads: 493 | Number of Views: 1173

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P-ISSN: 0972-5555

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