Results 31 to 40 of about 992,721 (210)

Some results on Drazin-Dagger matrices, reciprocal matrices, and conjugate EP matrices [PDF]

Journal of Mahani Mathematical Research
In this paper, a class of matrices, namely, Drazin-dagger matrices, in which the Drazin inverse andthe Moore-Penrose inverse commute, is introduced. Also, some properties of the generalized inverses of these matrices, are investigated.
Mahdiyeh Mortezaei, Gholamreza Aghamollaei   +1 more
doaj   +1 more source

Minimal Rank Properties of Outer Inverses with Prescribed Range and Null Space

Mathematics, 2023
The purpose of this paper is to investigate solvability of systems of constrained matrix equations in the form of constrained minimization problems.
Dijana Mosić, Predrag S. Stanimirović, Spyridon D. Mourtas   +2 more
doaj   +1 more source

MATRIKS INVERS MOORE PENROSE ATAS DAERAH INTEGRAL [PDF]

, 2005
The Inverse Moore Penrose matrix has been applied in various areas, for example in statistic and optimization. In this paper we study Inverse Moore Penrose matrix which is applied to Integral Domain.
Titi Udjiani SRRM, Titi Udjiani SRRM
core   +4 more sources

On polynomial EPr matrices

International Journal of Mathematics and Mathematical Sciences, 1992
This paper gives a characterization of EPr-λ-matrices. Necessary and sufficient conditions are determined for (i) the Moore-Penrose inverse of an EPr-λ-matrix to be an EPr-λ-matrix and (ii) Moore-Penrose inverse of the product of EPr-λ-matrices to be an ...
Ar. Meenakshi, N. Anandam
doaj   +1 more source

The Moore–Penrose inverse of a factorization

Linear Algebra and its Applications, 2003
Let \(A\) be a von Neumann regular matrix (i.e., \(AXA= A\) is solvable), and let \(P\), \(Q\) be given. Assume that there exist \(P'\) and \(Q'\) such that \(P'PA= A= AQQ'\). Necessary and sufficient conditions are given in order to \(PAQ\) be Moore-Penrose invertible, generalizing previous results.
openaire   +3 more sources

Generalized Commutators and the Moore-Penrose Inverse

The Electronic Journal of Linear Algebra, 2021
This work studies the kernel of a linear operator associated with the generalized k-fold commutator. Given a set $\mathfrak{A}= \left\{ A_{1}, \ldots ,A_{k} \right\}$ of real $n \times n$ matrices, the commutator is denoted by$[A_{1}| \ldots |A_{k}]$. For a fixed set of matrices $\mathfrak{A}$ we introduce a multilinear skew-symmetric linear operator ...
openaire   +3 more sources

Determinantal Representations of Solutions and Hermitian Solutions to Some System of Two-Sided Quaternion Matrix Equations

Journal of Mathematics, 2018
Within the framework of the theory of quaternion row-column determinants previously introduced by the author, we derive determinantal representations (analogs of Cramer’s rule) of solutions and Hermitian solutions to the system of two-sided quaternion ...
Ivan I. Kyrchei
doaj   +1 more source

∗-Regularity in the ring of matrices over the ring of integers modulo 𝑛 [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2023
For any positive integer 𝑛 ≥ 2, we give necessary and sufficient conditions of the existence of the Moore-Penrose inverse of any square matrix over the ring of integers modulo 𝑛.
Wannisa Apairat, Sompong Chuysurichay
doaj  

Convexity of the inverse and Moore–Penrose inverse

Linear Algebra and its Applications, 2011
Based on a re-examination of the convexity results for the inverse of positive definite matrices, and the Moore-Penrose inverse of nonnegative definite matrices, a more general concept of strong convexity is defined which provides additional information on the convexity behaviour and geometry of matrix functions known to be strictly convex.
openaire   +2 more sources

The Moore–Penrose Inverse and Product Decomposition of Idempotent Operators on Hilbert C*-Modules

Axioms
We study the Moore–Penrose inverse of idempotent operators on Hilbert C*-modules. First, we extend the computation of the Moore–Penrose inverse of an idempotent operator and its difference from the range projection to this setting.
Wei Luo
doaj   +1 more source