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Hadamard products and space

โœ Scribed by A. El-Sayed Ahmed; M.A. Bakhit


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
583 KB
Volume
51
Category
Article
ISSN
0895-7177

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โœ Stephanie B. Alexander; Richard L. Bishop ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Springer ๐ŸŒ English โš– 169 KB
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The Schur theorem, established in 1911, defines the global bounds for all eigenvalues of Hadamard products of positive semidefinite matrices. We establish narrower, specific bounds for each eigenvalue.

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Many perturbation problems in matrix theory are related to three matrix minimization problems involving Hadamard products. Possible solutions to the problems are conjectured. The problems, if solved, may imply significant advances in eigenvalue, generalized eigenvalue variations, and perhaps in othe

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