Results 31 to 40 of about 949,545 (177)
The dual index and dual core generalized inverse
Open Mathematics, 2023 In this article, we introduce the dual index and dual core generalized inverse (DCGI). By applying rank equation, generalized inverse, and matrix decomposition, we give several characterizations of the dual index when it is equal to 1. We realize that if
Wang Hongxing, Gao Ju
doaj +1 more source
Line digraphs and the Moore-Penrose inverse [PDF]
, 1981 Various characterizations of line digraphs and of Boolean matrices possessing a Moore-Penrose inverse are used to show that a square Boolean matrix has a Moore-Penrose inverse if and only if it is the adjacency matrix of a line digraph.
Per A. Smeds, Smeds, Per A.
core +1 more source
Effective partitioning method for computing weighted Moore–Penrose inverse [PDF]
, 2008 We introduce a method and an algorithm for computing the weighted Moore–Penrose inverse of multiple-variable polynomial matrix and the related algorithm which is appropriated for sparse polynomial matrices.
Petković, Marko D. +2 more
core +1 more source
The Moore-Penrose inverse of a retrocirculant [PDF]
, 1978 In a recent paper Chao [2] has determined the eigenvalues of a matrix of the form A=PC where P is a permutation matrix which commutes with a certain unitary matrix and C is a circulant.
Smith, Ronald L.
core +1 more source
Idempotent operator and its applications in Schur complements on Hilbert C*-module
Special Matrices, 2023 The present study proves that TT is an idempotent operator if and only if R(I−T∗)⊕R(T)=X{\mathcal{ {\mathcal R} }}\left(I-{T}^{\ast })\oplus {\mathcal{ {\mathcal R} }}\left(T)={\mathcal{X}} and (T∗T)†=(T†)2T{\left({T}^{\ast }T)}^{\dagger }={\left({T ...
Karizaki Mehdi Mohammadzadeh +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 +2 more
doaj +1 more source
On the relation between Moore's and Penrose's conditions
International Journal of Mathematics and Mathematical Sciences, 2002 Moore (1920) defined the reciprocal of any matrix over the complex field by three conditions, but the beauty of the definition was not realized until Penrose (1955) defined the same inverse using four conditions.
Gaoxiong Gan
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.
UDJIANI, TITI
core +4 more sources
Some results on Drazin-Dagger matrices, reciprocal matrices, and conjugate EP matrices [PDF]
Journal of Mahani Mathematical ResearchIn 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 +1 more
doaj +1 more source
Convexity of the inverse and Moore–Penrose inverse [PDF]
, 2011 Convexity properties of the inverse of positive definite matrices and the Moore–Penrose inverse of nonnegative definite matrices with respect to the partial ordering induced by nonnegative definiteness are studied.
Nordström, Kenneth, Kenneth Nordström
core +1 more source