Results 21 to 30 of about 22,762 (128)

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

Generalized inverses in graph theory

AKCE International Journal of Graphs and Combinatorics, 2023
–In this article, some interesting applications of generalized inverses in the graph theory are revisited. Interesting properties of generalized inverses are employed to make the proof of several known results simpler, and several techniques such as ...
Umashankara Kelathaya, Ravindra B. Bapat, Manjunatha Prasad Karantha   +2 more
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Computing generalized inverses using LU factorization of matrix product

, 2011
An algorithm for computing {2, 3}, {2, 4}, {1, 2, 3}, {1, 2, 4} -inverses and the Moore-Penrose inverse of a given rational matrix A is established. Classes A(2, 3)s and A(2, 4)s are characterized in terms of matrix products (R*A)+R* and T*(AT*)+, where ...
Ben-Israel A., Campbell S. L., Chen L., Courrieu P., Lovass Nagy V., Milan B. Tasić, Predrag S. Stanimirović, Rao C. R., Stanimirović P. S., Stanimirović P. S., Wang G., Wolfram S.   +11 more
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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
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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

Aplikasi Invers Grup Pada Karakterisasi Invers Moore Penrose [PDF]

, 2016
Let be a ring with identity and equipped with involution " ". If is element of and has the Moore Penrose inverse, then and also have the Moore Penrose inverse.
SRRM, T. U. (Titi)
core  

Pseudo-inverses of difference matrices and their application to sparse signal approximation

, 2015
We derive new explicit expressions for the components of Moore-Penrose inverses of symmetric difference matrices. These generalized inverses are applied in a new regularization approach for scattered data interpolation based on partial differential ...
Hoffmann, Sebastian, Plonka, Gerlind, Weickert, Joachim   +2 more
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Generalisasi Invers Suatu Matriks Yang Memenuhi Persamaan Penrose [PDF]

, 2012
Generalized inverse is an extension of the concept of inverse matrix. One type of generalized inverse of a matrix of size (m × n) with elements of the complex number is the Moore Penrose inverse is denoted by A+ .
Gunawan, I. (ImronArdi), Zaki, S. (Solichin)   +1 more
core  

Definition of Complex One-Parameter Generalized Moore–Penrose Inverses Using Differential Transformations

Computational and Mathematical Methods
This study presents analytical and numerical-analytical decomposition methods for determining complex one-parameter generalized inverse Moore–Penrose matrices. The analytical approach is based on the third Moore–Penrose condition, offering three solution
Sargis Simonyan, Hovhannes Abgaryan, Armine Avetisyan   +2 more
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Developing Reverse Order Law for the Moore–Penrose Inverse with the Product of Three Linear Operators

Journal of Mathematics, 2021
In this paper, we study the reverse order law for the Moore–Penrose inverse of the product of three bounded linear operators in Hilbert spaces. We first present some equivalent conditions for the existence of the reverse order law ABC†=C†B†A†.
Yang Qi, Liu Xiaoji, Yu Yaoming
doaj   +1 more source