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Characterizations and Decompositions of Almost Strictly Positive Matrices

✍ Scribed by Gasca, M.; Peña, J. M.

Book ID
118215888
Publisher
Society for Industrial and Applied Mathematics
Year
2006
Tongue
English
Weight
127 KB
Volume
28
Category
Article
ISSN
0895-4798

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📜 SIMILAR VOLUMES

Characterizations of rectangular totally
Characterizations of rectangular totally and strictly totally positive matrices
✍ Rafael Cantó; Beatriz Ricarte; Ana M. Urbano 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 177 KB

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.

Spaces with Almost Strictly Totally Posi
Spaces with Almost Strictly Totally Positive Bases
✍ 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