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Inertia and Rank Characterizations of Some Matrix Expressions

โœ Scribed by Chu, Delin; Hung, Y. S.; Woerdeman, Hugo J.


Book ID
118211810
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
355 KB
Volume
31
Category
Article
ISSN
0895-4798

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Maximization and minimization of the ran
โœ Yongge Tian ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 465 KB

We give in this paper a group of closed-form formulas for the maximal and minimal ranks and inertias of the linear Hermitian matrix function A -BX -(BX) \* with respect to a variable matrix X. As applications, we derive the extremal ranks and inertias of the matrices X ยฑX \* , where X is a solution