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On the effective computation of the inertia of a non-hermitian matrix

โœ Scribed by David Carlson; Biswa Nath Datta


Publisher
Springer-Verlag
Year
1979
Tongue
English
Weight
306 KB
Volume
33
Category
Article
ISSN
0029-599X

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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