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The maximal and minimal ranks of matrix expression with applications

✍ Scribed by Zhiping Xiong; Yingying Qin; Shifang Yuan

Book ID
114997386
Publisher
Hindawi Publishing Corporation
Year
2012
Tongue
English
Weight
194 KB
Volume
2012
Category
Article
ISSN
1025-5834

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πŸ“œ SIMILAR VOLUMES

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Maximization and minimization of the rank and inertia of the Hermitian matrix expression with applications
✍ Yongge Tian πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 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 Β±X \* , where X is a solution

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✍ T.N. Langtry πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 143 KB

For periodic integrands with unit period in each variable, certain error bounds for lattice rules are conveniently characterised by the ΓΏgure of merit , which was originally introduced in the context of number theoretic rules. The problem of ΓΏnding good rules of order N (that is, having N distinct n