Equivalence analysis of different reverse order laws for generalized inverses of a matrix product
type: Item
instance of: scholarly article
title: Equivalence analysis of different reverse order laws for generalized inverses of a matrix product
zbMATH Open document ID: 1501.15004
author: Yongge Tian
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2022-11-09T00:00:00Z
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 7613975
zbMATH Keywords: matrix product
zbMATH Keywords: Moore-Penrose generalized inverse
zbMATH Keywords: reverse order law
zbMATH Keywords: orthogonal projector
zbMATH Keywords: rank
zbMATH Keywords: range
Wikidata QID: Q114852233
MaRDI profile type: Publication
full work available at URL: s13226-021-00200-x
OpenAlex ID: W3216320232
cites work: Q3136975
cites work: The Moore of the Moore-Penrose inverse
cites work: Generalized inverses. Theory and applications.
cites work: Q3207128
cites work: On the ``Reverse Order Law'' Related to the Generalized Inverse of Matrix Products
cites work: Partial isometries closed under multiplication on Hilbert spaces
cites work: Note on the Generalized Inverse of a Matrix Product
cites work: Q5849795
cites work: Q5645536
cites work: Reverse order laws for the generalized inverses of multiple matrix products
cites work: Upper and lower bounds for ranks of matrix expressions using generalized inverses
cites work: Rank equalities related to outer inverses of matrices and applications
cites work: The reverse-order law \((AB)^\dagger= B^\dagger (A^\dagger ABB^\dagger)^\dagger A^\dagger\) and its equivalent equalities
cites work: The equivalence between (AB)†=B†A†and other mixed-type reverse-order laws
cites work: Miscellaneous reverse order laws and their equivalent facts for generalized inverses of a triple matrix product
DOI: 10.1007/S13226-021-00200-X
description: scientific article; zbMATH DE number 7613975