Results 21 to 30 of about 23,557 (176)

Some results on Drazin-Dagger matrices, reciprocal matrices, and conjugate EP matrices [PDF]

Journal of Mahani Mathematical Research
In 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, Gholamreza Aghamollaei   +1 more
doaj   +1 more source

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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Numerical Range of Moore–Penrose Inverse Matrices

Mathematics, 2020
Let A be an n-by-n matrix. The numerical range of A is defined as W ( A ) = { x * A x : x ∈ C n , x * x = 1 } . The Moore–Penrose inverse A + of A is the unique matrix satisfying A A + A = A , A + A A + = A ...
Mao-Ting Chien
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On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product

International Journal of Mathematics and Mathematical Sciences, 2004
Some mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product are established. Necessary and sufficient conditions for these laws to hold are found by the matrix rank method.
Yongge Tian
doaj   +1 more source

∗-Regularity in the ring of matrices over the ring of integers modulo 𝑛 [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2023
For any positive integer 𝑛 ≥ 2, we give necessary and sufficient conditions of the existence of the Moore-Penrose inverse of any square matrix over the ring of integers modulo 𝑛.
Wannisa Apairat, Sompong Chuysurichay
doaj  

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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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

Solving reduced biquaternion matrices equation $ \sum\limits_{i = 1}^{k}A_iXB_i = C $ with special structure based on semi-tensor product of matrices

AIMS Mathematics, 2022
In this paper, we propose a real vector representation of reduced quaternion matrix and study its properties. By using this real vector representation, Moore-Penrose inverse, and semi-tensor product of matrices, we study some kinds of solutions of ...
Wenxv Ding, Ying Li, Anli Wei, Zhihong Liu   +3 more
doaj   +1 more source

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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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)
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