Equalities and inequalities for ranks of products of generalized inverses of two matrices and their applications
type: Item
instance of: scholarly article
title: Equalities and inequalities for ranks of products of generalized inverses of two matrices and their applications
zbMATH Open document ID: 1344.15003
author: Yongge Tian
published in: Journal of Inequalities and Applications
publication date: 2016-08-05T00:00:00Z
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 6609696
zbMATH Keywords: matrix product
zbMATH Keywords: generalized inverse
zbMATH Keywords: reverse-order law
zbMATH Keywords: rank
zbMATH Keywords: equality
zbMATH Keywords: inequality
zbMATH Keywords: matrix equation
Wikidata QID: Q59466936
MaRDI profile type: Publication
full work available at URL: s13660-016-1123-z
OpenAlex ID: W2489435743
cites work: Q5849795
cites work: Generalized inverses. Theory and applications.
cites work: Q4002435
cites work: Q5645536
cites work: Q5733541
cites work: Q5532606
cites work: Various solutions to reverse order law problems
cites work: Basic reverse order law and its equivalencies
cites work: Q3150811
cites work: On pseudoinverses of operator products
cites work: Note on the Generalized Inverse of a Matrix Product
cites work: The reverse order law revisited
cites work: The product of operators with closed range and an extension of the reverse order law
cites work: The reverse order law \((AB)^-\) = \(B^-A^-\)
cites work: Further results on the reverse-order law
cites work: Using rank formulas to characterize equalities for Moore-Penrose inverses of matrix products.
cites work: On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product
cites work: The equivalence between (AB)†=B†A†and other mixed-type reverse-order laws
cites work: Q3137101
cites work: When is \(B^ -A^ -\) a generalized inverse of \(AB\)?
cites work: Some generalized forms of least squares \(g\)-inverse, minimum norm \(g\)- inverse, and Moore-Penrose inverse matrices
cites work: Q4050723
cites work: Reverse order laws for the generalized inverses of multiple matrix products
cites work: More on maximal and minimal ranks of Schur complements with applications
cites work: Extremal ranks of a quadratic matrix expression with applications
DOI: 10.1186/S13660-016-1123-Z
description: scientific article; zbMATH DE number 6609696