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Characterizations of rectangular totally and strictly totally positive matrices

✍ Scribed by Rafael Cantó; Beatriz Ricarte; Ana M. Urbano

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
177 KB
Volume
432
Category
Article
ISSN
0024-3795

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✦ Synopsis

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.

📜 SIMILAR VOLUMES

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