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The maximal and minimal ranks of a quaternion matrix expression with applications

โœ Scribed by Rashedi, Somayeh; Ebadi, Ghodrat; Biswas, Anjan

Book ID
122223296
Publisher
Elsevier
Year
2013
Weight
354 KB
Volume
21
Category
Article
ISSN
1110-256X

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Maximization and minimization of the ran
Maximization and minimization of the rank and inertia of the Hermitian matrix expression with applications
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