Results 31 to 40 of about 7,621 (191)

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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Constrainted least squares solution of Sylvester equation

Mathematical Modelling and Control, 2021
In this paper, we study several constrainted least squares solutions of quaternion Sylvester matrix equation. We first propose a real vector representation of quaternion matrix and study its properties.
Wenxv Ding, Ying Li, Dong Wang, AnLi Wei
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Characterizations and properties of hyper-dual Moore-Penrose generalized inverse

AIMS Mathematics
In this paper, the definition of the hyper-dual Moore-Penrose generalized inverse of a hyper-dual matrix is introduced. Characterizations for the existence of the hyper-dual Moore-Penrose generalized inverse are given, and a formula for the hyper-dual ...
Qi Xiao, Jin Zhong
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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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On elements whose Moore–Penrose inverse is idempotent in a*-ring

, 2021
In this paper, we investigate the elements whose Moore–Penrose inverse is idempotent in a ∗ -ring. Let R be a ∗ -ring and a ∈ R† . Firstly, we give a concise characterization for the idempotency of a† as follows: a ∈ R† and a† is idempotent if and only ...
Haiyang Zhu, Jianlong Chen, Yukun Zhou
semanticscholar   +1 more source

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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Extension of Moore–Penrose inverse of tensor via Einstein product [PDF]

Linear and multilinear algebra, 2018
The notion of the Moore–Penrose inverse of an even-order tensor and the two-term reverse-order law for the Moore–Penrose inverse of even-order tensors via the Einstein product were introduced, very recently.
Krushnachandra Panigrahy, Debasisha Mishra   +1 more
semanticscholar   +1 more source

Soft Thresholding Using Moore–Penrose Inverse [PDF]

, 2023
Bamrung Tausiesakul, Krissada Asavaskulkiet   +1 more
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On matrix convexity of the Moore-Penrose inverse

International Journal of Mathematics and Mathematical Sciences, 1996
Matrix convexity of the Moore-Penrose inverse was considered in the recent literature. Here we give some converse inequalities as well as further generalizations.
B. Mond, J. E. Pecaric
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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
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