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Hadamard powers and totally positive matrices

โœ Scribed by Shaun M. Fallat; Charles R. Johnson


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
124 KB
Volume
423
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES


Fractional Hadamard powers of positive s
โœ P. Fischer; J.D. Stegeman ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 197 KB

We consider the class S n of all real positive semidefinite n ร— n matrices, and the subclass S + n of all A โˆˆ S n with non-negative entries. For a positive, non-integer number ฮฑ and some A โˆˆ S + n , when will the fractional Hadamard power A โ™ฆฮฑ again belong to S + n ? It is known that, for a specific

Matrices with totally signed powers
โœ Hai-Ying Shan; Jia-Yu Shao ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 194 KB

A square real matrix A is said to have signed d-power, if the sign pattern of the power A d is uniquely determined by the sign pattern of A. A is said to have totally signed powers if A has signed d-powers for all positive integers d. A is said to be d-powerful if all the non-zero terms in the expan

Inner totally positive matrices
โœ G.M.L. Gladwell ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 229 KB
Generalized totally positive matrices
โœ Miroslav Fiedler; Thomas L. Markham ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 111 KB

We say that a rectangular matrix over a (in general, noncommutative) ring with identity having a positive part is generalized totally positive (GTP) if in all nested sequences of socalled relevant submatrices, the Schur complements are positive. Here, a relevant submatrix is such either having k con