Results 41 to 50 of about 28,414 (283)
Applied Sciences, 2021 Fusion low-resolution hyperspectral images (LR-HSI) and high-resolution multispectral images (HR-MSI) are important methods for obtaining high-resolution hyperspectral images (HR-HSI).
Jian Long +4 more
semanticscholar +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
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Computation of Moore-Penrose generalized inverses of matrices with meromorphic function entries [PDF]
, 2017 J.R. Sendra is member of the Research Group ASYNACS (Ref.CT-CE2019/683)In this paper, given a field with an involutory automorphism, we introduce the notion of Moore-Penrose field by requiring that all matrices over the field have Moore-Penrose inverse ...
Sendra Pons, Juan Rafael +1 more
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Linear estimation in models based on a graph [PDF]
, 1999 Two natural linear models associated with a graph are considered. The Gauss–Markov theorem is used in one of the models to derive a combinatorial formula for the Moore–Penrose inverse of the incidence matrix of a tree.
Bapat, R.B.
core +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
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
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On the generalized spectrum of bounded linear operators in Banach spaces
AIMS Mathematics, 2023 Utilizing the stability characterizations of generalized inverses, we investigate the generalized resolvent of linear operators in Banach spaces. We first prove that the local analyticity of the generalized resolvent is equivalent to the continuity and ...
Jue Feng , Xiaoli Li, Kaicheng Fu
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Computation of generalized inverses by using the LDL∗ decomposition [PDF]
, 2012 An efficient algorithm, based on the LDL∗ factorization, for computing {1,2,3} and {1,2,4} inverses and the Moore–Penrose inverse of a given rational matrix A, is developed. We consider matrix products A∗A and AA∗ and corresponding LDL∗ factorizations in
Stanimirović, Ivan P., Tasić, Milan B.
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Extending the Moore-Penrose inverse [PDF]
Filomat, 2016 We show that it is possible to define generalized inverse similar to the Moore-Penrose inverse by slightly modified Penrose equations. Then we are Investigating properties of this, so-called extended Moore-Penrose inverse.
openaire +2 more sources