On one-sided (B,C)-inverses of arbitrary matrices
Julio Benitez, Enrico Boasso, Hongwei Jin
TL;DR
This paper explores the concept of one-sided (b,c)-inverses and inverses along a matrix for arbitrary rectangular matrices, extending existing inverse theories to more general matrix classes.
Contribution
It introduces and studies one-sided (b,c)-inverses and inverses along a matrix for arbitrary, including rectangular, matrices, expanding the inverse theory.
Findings
Characterization of one-sided (b,c)-inverses for arbitrary matrices
Extension of inverse along an element to rectangular matrices
New properties and relationships of these inverses
Abstract
In this article one-sided (b, c)-inverses of arbitrary matrices as well as one-sided inverses along a (not necessarily square) matrix, will be studied. In adddition, the (b, c)-inverse and the inverse along an element will be also researched in the context of rectangular matrices.
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Optimization Algorithms Research · Iterative Methods for Nonlinear Equations