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Almost strictly totally positive matrices

✍ Scribed by M. Gasca; Charles A. Micchelli; J. M. Peña

Book ID
105476871
Publisher
Springer US
Year
1992
Tongue
English
Weight
506 KB
Volume
2
Category
Article
ISSN
1017-1398

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📜 SIMILAR VOLUMES

Spaces with Almost Strictly Totally Posi
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✍ J. M. Carnicer; J. M. Peña 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 559 KB

## Abstract In spline spaces there are often totally positive bases possessing a strong property called almost strictly total positivity. In this paper, it is proved that, for totally positive bases of continuous functions __B__, the following concepts are equivalent: (i) __B__ is almost strictly t

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An n × 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.

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✍ Miroslav Fiedler; Thomas L. Markham 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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