Results 171 to 180 of about 992,721 (210)

Perturbations of Moore-Penrose Inverse and Dual Moore-Penrose Generalized Inverse

Journal of Applied Mathematics and Computing, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yimin Wei, Hongxing Wang
exaly   +3 more sources

Generalization of the Moore–Penrose Inverse

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dijana Mosic, Katarina S Stojanović
exaly   +3 more sources

On the Moore–Penrose Generalized Inverse Matrix

Applied Mathematics and Computation, 2004
Different methods for computing the Moore-Penrose inverse (MPI) matrix are reviewed. For the MPI of a matrix product, four mixed type reverse order laws are established. Some relevant numerical computations are given.
Medhat Rakha
exaly   +4 more sources

Weighted Generalized Moore–Penrose Inverse

Georgian Mathematical Journal, 2023
Abstract The aim of this paper is to present the weighted generalized Moore–Penrose inverse of an operator between two Hilbert spaces as an extension of the Moore–Penrose inverse and the generalized Moore–Penrose inverse defined for an operator on a Hilbert space.
Dijana Mosic
exaly   +2 more sources

The Representation and Approximation for the Weighted Moore–Penrose Inverse

Applied Mathematics and Computation, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yimin Wei, Hebing Wu
exaly   +3 more sources

Reverse Order Law for the Moore–Penrose Inverse

Journal of Mathematical Analysis and Applications, 2010
In this paper we present new results related to the reverse order law for the Moore–Penrose inverse of operators on Hilbert spaces.
Dragan Djordjevic, Nebojsa Dincic
exaly   +2 more sources

Enclosing Moore–Penrose inverses

Calcolo, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Perturbation Analysis of the Moore-Penrose Inverse and the Weighted Moore-Penrose Inverse

2018
Let A be a given matrix. When computing a generalized inverse of A, due to rounding error, we actually obtain the generalized inverse of a perturbed matrix \(B=A+E\) of A. It is natural to ask if the generalized inverse of B is close to that of A when the perturbation E is sufficiently small.
Guorong Wang, Yimin Wei, Sanzheng Qiao
openaire   +1 more source

Moore–Penrose Inversion of Square Toeplitz Matrices

SIAM Journal on Matrix Analysis and Applications, 1994
Fast algorithms for the computation of the Moore–Penrose inverse $A^ + $ of a square Toeplitz matrix A are constructed based on Bezoutian representations of $A^ + $. Two approaches are presented. The first approach is a recursion of the nested submatrices, the second approach uses generalized inverses of A that are Bezoutians and a global formula.
Georg Heinig, Frank Hellinger
openaire   +2 more sources

A note on stable perturbations of Moore–Penrose inverses

Numerical Linear Algebra with Applications, 2011
SUMMARYPerturbation bounds for Moore–Penrose inverses of rectangular matrices play a significant role in the perturbation analysis for linear least squares problems. In this note, we derive a sharp upper bound for Moore–Penrose inverses, which is better than a well known existing one. Copyright © 2011 John Wiley & Sons, Ltd.
Zhao Li, Qingxiang Xu, Yimin Wei 0001
openaire   +1 more source