Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Inner-Φ-GCEP and Φ-GCEP-inner inverses
View through CrossRef
Inspired by the concepts of ?-GCEP and ?-*GCEP inverses as generalizations of the gMP, *gMP and MP inverse, the aim of this paper is to extend notions of inner-gMP, gMP-inner, inner-*gMP, *gMP-inner, 1MP and MP1 inverses using ?-GCEP and ?-*GCEP inverses. Thus, four new types of generalized inverses are introduced and called inner-?-GCEP, ?-GCEP-inner, inner-?-*GCEP and ?-*GCEP-inner inverses. As particular kinds of these new inverses, inner-GCEP, GCEP-inner, inner-*GCEP and *GCEP-inner inverses are established. Numerous properties, representations and characterizations of new inverses are presented as well. Applying our new inverses, we solve some linear equations and express their solutions.
Title: Inner-Φ-GCEP and Φ-GCEP-inner inverses
Description:
Inspired by the concepts of ?-GCEP and ?-*GCEP inverses as generalizations of the gMP, *gMP and MP inverse, the aim of this paper is to extend notions of inner-gMP, gMP-inner, inner-*gMP, *gMP-inner, 1MP and MP1 inverses using ?-GCEP and ?-*GCEP inverses.
Thus, four new types of generalized inverses are introduced and called inner-?-GCEP, ?-GCEP-inner, inner-?-*GCEP and ?-*GCEP-inner inverses.
As particular kinds of these new inverses, inner-GCEP, GCEP-inner, inner-*GCEP and *GCEP-inner inverses are established.
Numerous properties, representations and characterizations of new inverses are presented as well.
Applying our new inverses, we solve some linear equations and express their solutions.
Related Results
Inner-gMP and gMP-inner inverses
Inner-gMP and gMP-inner inverses
Solving some systems of operator equations, new kinds of generalized inverses are introduced. Since these new inverses can be expressed by inner and gMP inverses, they are called i...
Quaternion MPCEP, CEPMP, and MPCEPMP Generalized Inverses
Quaternion MPCEP, CEPMP, and MPCEPMP Generalized Inverses
A generalized inverse of a matrix is an inverse in some sense for a wider class of matrices than invertible matrices. Generalized inverses exist for an arbitrary matrix and coincid...
When Does a Dual Matrix Have a Dual Generalized Inverse?
When Does a Dual Matrix Have a Dual Generalized Inverse?
This paper deals with the existence of various types of dual generalized inverses of dual matrices. New and foundational results on the necessary and sufficient conditions for vari...
Some properties of Max-Plus Algebra and generalized inverses on 2x2 matrices integers modulo 3
Some properties of Max-Plus Algebra and generalized inverses on 2x2 matrices integers modulo 3
Abstract
The properties of Max Plus Algebra can be applied to the matrix. Furthermore, the generalized inverses in a matrix can also be related to this algebra. This...
Eulerian methods for inverse problems using optimal transport
Eulerian methods for inverse problems using optimal transport
Méthodes eulériennes pour les problèmes inverses en transport optimal
Cette thèse a pour but de développer de nouvelles méthodes numériques pour résoudre des problè...
Compressed echography : A novel strategy for image acquisition and reconstruction
Compressed echography : A novel strategy for image acquisition and reconstruction
Échographie compressée : Une nouvelle stratégie d’acquisition et de formation pour une imagerie ultrarapide
Il ne fait aucun doute que le coût relativement faible d...
Weighted G-Drazin inverse for operators on Banach spaces
Weighted G-Drazin inverse for operators on Banach spaces
We define an extension of weighted G-Drazin inverses of rectangular matrices to operators between two Banach spaces. Some properties of weighted G-Drazin inverses are generalized a...
Investigation of photonic properties of self-assembled nanoparticule monolayer : applications to photonic crystals and patterned organic light emitting diodes
Investigation of photonic properties of self-assembled nanoparticule monolayer : applications to photonic crystals and patterned organic light emitting diodes
Etude des propriétés photoniques de monocouches de nanoparticules auto-organisées : application aux cavités à cristaux photoniques et aux diodes électroluminescentes organiques nan...