The nonunique shorted matrix
type: Item
instance of: scholarly article
title: The nonunique shorted matrix
zbMATH Open document ID: 0849.15015
DOI: 10.1016/0024-3795(95)00599-4
author: Sujit Kumar Mitra
author: K. Manjunatha Prasad
published in: Linear Algebra and its Applications
publication date: 1996-11-10T00:00:00Z
review text: Properties of nonunique shorted matrices are studied as compared to those of unique shorted matrices. Separability of subspaces of row and column spans of a matrix, quasiidempotent and idempotent matrices, and intersection generating generalized inverse are discussed. A description of the set of general solutions for a shorted matrix is given. Another definition of shorted matrices based on the minus partial order is derived. Column and row spans of shorted matrices were completely characterized. Those properties, given by \textit{W. N. Anderson jun.} and \textit{G. E. Trapp} [SIAM J. Appl. Math. 28, 60-71 (1975; Zbl 0295.47032)] for unique matrices, which are valid also for nonunique shorted matrices are dealt with.
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 885058
zbMATH Keywords: separability of subspaces
zbMATH Keywords: nonunique shorted matrices
zbMATH Keywords: idempotent matrices
zbMATH Keywords: generalized inverse
zbMATH Keywords: set of general solutions
zbMATH Keywords: minus partial order
MaRDI profile type: Publication
full work available at URL: 0024-3795(95)00599-4
OpenAlex ID: W2063371121
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description: scientific article; zbMATH DE number 885058