New results on condensed Cramer's rule for the general solution to some restricted quaternion matrix equations
type: Item
instance of: scholarly article
title: New results on condensed Cramer's rule for the general solution to some restricted quaternion matrix equations
zbMATH Open document ID: 1360.65129
author: G. J. Song
author: Chang-Zhou Dong
published in: Journal of Applied Mathematics and Computing
publication date: 2017-03-07T00:00:00Z
review text: The authors consider the condensed Cramer's rule for the general solution, the least squares solution and the least norm solution of the first two Penrose's equations \[ AXA=A,XAX = X, \] where \(A\) is an \(m \times n\) matrix over the quaternions algebra.
reviewed by: Constantin Popa
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 65F20
zbMATH DE Number: 6692489
zbMATH Keywords: quaternion matrix equation
zbMATH Keywords: Cramer's rule
zbMATH Keywords: generalized inverse \(A^{2}_{T, S}\)
zbMATH Keywords: least squares solution
zbMATH Keywords: least norm solution
zbMATH Keywords: Penrose's equations
MaRDI profile type: Publication
full work available at URL: s12190-015-0970-y
OpenAlex ID: W2310734675
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DOI: 10.1007/S12190-015-0970-Y
description: scientific article; zbMATH DE number 6692489