Shorted operators and rank decomposition matrices
type: Item
instance of: scholarly article
title: Shorted operators and rank decomposition matrices
zbMATH Open document ID: 0597.15002
DOI: 10.1016/0024-3795(86)90257-0
author: Hans Goller
published in: Linear Algebra and its Applications
publication date: 1986-01-01T00:00:00Z
review text: The author gives results related to the equation \(r(S)+r(A-S)=r(A)\), where r is the rank and A, S are \(n\times n\) matrices. He derives a formula for S with given row and column space and if it exists, relates it to a rank minimization problem and to Schur complements.
Mathematics Subject Classification ID: 15A03
zbMATH DE Number: 3961844
zbMATH Keywords: rank decomposition
zbMATH Keywords: shorted operator
zbMATH Keywords: rank minimization
zbMATH Keywords: Schur complements
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
full work available at URL: 0024-3795(86)90257-0
OpenAlex ID: W1966915237
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description: scientific article; zbMATH DE number 3961844