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Sums of totally positive matrices

✍ Scribed by C.R. Johnson; D.D. Olesky

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
184 KB
Volume
392
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

Generalized totally positive matrices
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✍ Miroslav Fiedler; Thomas L. Markham πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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

Inner totally positive matrices
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Characterizations of rectangular totally
Characterizations of rectangular totally and strictly totally positive matrices
✍ Rafael CantΓ³; Beatriz Ricarte; Ana M. Urbano πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 177 KB

An n Γ— m real matrix A is said to be totally positive (strictly totally positive) if every minor is nonnegative (positive). In this paper, we study characterizations of these classes of matrices by minors, by their full rank factorization and by their thin QR factorization.