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The minimal rank of with respect to Hermitian matrix

โœ Scribed by Wang, Hongxing


Book ID
122863211
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
308 KB
Volume
233
Category
Article
ISSN
0096-3003

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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