Ranks of submatrices and the off-diagonal indices of a square matrix
type: Item
instance of: scholarly article
title: Ranks of submatrices and the off-diagonal indices of a square matrix
zbMATH Open document ID: 0953.15009
DOI: 10.1016/S0024-3795(99)00166-4
author: E. Marques de Sá
author: Yulin Zhang
published in: Linear Algebra and its Applications
publication date: 2000-03-21T00:00:00Z
review text: The authors study the appearance of a nonsingular minor with prescribed indices, within a similarity class of matrices. An analogous problem for the rank is also considered as well as the existence of a nonsingular matrix within a linear pencil over two nilpotent similarity classes.
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 15A22
zbMATH DE Number: 1419709
zbMATH Keywords: nonsingular minor
zbMATH Keywords: similarity class
zbMATH Keywords: rank
zbMATH Keywords: linear pencil
reviewed by: Jaroslav Zemánek
MaRDI profile type: Publication
cites work: Similarity invariants of completions of submatrices
cites work: On Similarity and the Diagonal of a Matrix
cites work: On the eigenvalues of the matrix
cites work: Imbedding conditions for \(\lambda\)-matrices
cites work: Interlacing and degree conditios for invariat polynomials
cites work: Q3203157
cites work: Interlacing inequalities for invariant factors
cites work: Matrices with prescribed invariant factors and off-diagonal submatrices
full work available at URL: s0024-3795(99)00166-4
OpenAlex ID: W2033688211
description: scientific article; zbMATH DE number 1419709