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Inertias and ranks of some Hermitian matrix functions with applications

โœ Scribed by Xiang Zhang; Qing-Wen Wang; Xin Liu


Book ID
111488788
Publisher
SP Versita
Year
2011
Tongue
English
Weight
959 KB
Volume
10
Category
Article
ISSN
1895-1074

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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