Article ID Journal Published Year Pages File Type
4602225 Linear Algebra and its Applications 2008 11 Pages PDF
Abstract

A matrix is called strictly sign regular if for each k all its k×k minors are nonzero and have the same sign. We study several decompositions of strictly sign regular matrices, including QR decomposition, Schur decomposition, SVD and symmetric-triangular decomposition. Several characterizations are provided.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory