Results 21 to 30 of about 992,671 (173)

The Moore-Penrose inverse of a free matrix [PDF]

, 2007
A matrix is free, or generic, if its nonzero entries are algebraically independent.Necessary and sufficient combinatorial conditions are presented for a complex free matrix to have afree Moore-Penrose inverse.
Britz, Thomas
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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

Fast computing of the Moore-Penrose inverse matrix [PDF]

, 2008
In this article a fast computational method is provided in order to calculate theMoore-Penrose inverse of full rank m × n matrices and of square matrices with at least one zero row or column. Sufficient conditions are also given for special type products
Pappas, Dimitrios, Pappas, D, Katsikis, Vasilios N., Katsikis, VN, Katsikis, Vasilios   +4 more
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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

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, Predrag S. Stanimirović, Spyridon D. Mourtas   +2 more
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MATRIKS INVERS MOORE PENROSE ATAS DAERAH INTEGRAL [PDF]

, 2005
The Inverse Moore Penrose matrix has been applied in various areas, for example in statistic and optimization. In this paper we study Inverse Moore Penrose matrix which is applied to Integral Domain.
Titi Udjiani SRRM, Titi Udjiani SRRM
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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

The generalized Moore-Penrose inverse

, 1991
We define the generalized Moore-Penrose inverse and give necessary and sufficient conditions for its existence over an integral domain. We also prove its uniqueness and give a formula for it which leads us towards a “generalized Cramer's rule” to find ...
Manjunatha Prasad, K., R.B. Bapat, K. Manjunatha Prasad, Bapat, R. B.   +3 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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∗-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
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