✦ LIBER ✦

Total nonpositivity of nonsingular matrices

✍ Scribed by Rong Huang; Delin Chu

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 170 KB
Volume: 432
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2009.12.043

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Totally nonpositive completions on parti

Totally nonpositive completions on partial matrices

✍ C. Mendes Araújo; Juan R. Torregrosa; Ana M. Urbano 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 183 KB

An n × n real matrix is said to be totally nonpositive if every minor is nonpositive. In this paper, we are interested in totally nonpositive completion problems, that is, does a partial totally nonpositive matrix have a totally nonpositive matrix completion? This problem has, in general, a negative

Full rank factorization in echelon form

Full rank factorization in echelon form of totally nonpositive (negative) rectangular matrices

✍ Rafael Cantó; Beatriz Ricarte; Ana M. Urbano 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 197 KB

A factorization of totally nonsingular m

A factorization of totally nonsingular matrices over a ring with identity

✍ Miroslav Fiedler; Thomas L. Markham 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 76 KB

We say that a rectangular matrix over a ring with identity is totally nonsingular (TNS) if for all k, all its relevant submatrices, either having k consecutive-rows and the first k columns, or k consecutive-columns and the first k rows, are invertible. We prove that a matrix is TNS if and only if it

Ray patterns of matrices and nonsingular

Ray patterns of matrices and nonsingularity

✍ J.J. McDonald; D.D. Olesky; M.J. Tsatsomeros; P. van den Driessche 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 866 KB

A complex matrix A is ray-nonsingular if det(X 0 A) f 0 for every matrix X with positive entries. A sufficient condition for ray nonsingularity is that the origin is not in the relative interior of the convex hull of the signed transversal products of A. The concept of an isolated set of transversa

Nonsingularity of linear combinationsof

Nonsingularity of linear combinationsof idempotent matrices

✍ Jerzy K Baksalary; Oskar Maria Baksalary 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 161 KB

On nonsingularity of a polytope of matri

On nonsingularity of a polytope of matrices

✍ Vakif Dzhafarov; Taner Büyükköroğlu 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 142 KB