Results 71 to 80 of about 23,557 (176)

Analysis of solvability and representation of general solutions for anti-Hermitian constrained quaternion matrix equations

AIMS Mathematics
This paper addresses the constrained system of quaternion matrix equations incorporating anti-Hermitian properties, driven by the significance of symmetric solutions in diverse applications.
Abdur Rehman, Ivan Kyrchei, Khuram Ali Khan, Tamador Alihia, Salwa El-Morsy   +4 more
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Efficient GMM estimation with singular system of moment conditions

Statistical Theory and Related Fields, 2020
Standard generalised method of moments (GMM) estimation was developed for nonsingular system of moment conditions. However, many important economic models are characterised by singular system of moment conditions.
Zhiguo Xiao
doaj   +1 more source

Singular matrices possessing the triangle property

Special Matrices
It is known that the inverse of an invertible real square matrix satisfying the triangle property is a tridiagonal matrix. In this note, results that may be considered as analogues of this assertion are obtained for the Moore-Penrose inverse and the ...
Priya K. Kranthi, Sivakumar K. C.
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Approximating the Inverse of a Square Matrix with Application in Computation of the Moore-Penrose Inverse

Journal of Applied Mathematics, 2014
This paper presents a computational iterative method to find approximate inverses for the inverse of matrices. Analysis of convergence reveals that the method reaches ninth-order convergence.
F. Soleymani, M. Sharifi, S. Shateyi
doaj   +1 more source

Some New Algebraic and Topological Properties of the Minkowski Inverse in the Minkowski Space

The Scientific World Journal, 2013
We introduce some new algebraic and topological properties of the Minkowski inverse A⊕ of an arbitrary matrix A∈Mm,n (including singular and rectangular) in a Minkowski space μ.
Hanifa Zekraoui, Zeyad Al-Zhour, Cenap Özel   +2 more
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Generalized Commutators and the Moore-Penrose Inverse

, 2021
Irwin S. Pressman
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Least Squares Pure Imaginary Solution and Real Solution of the Quaternion Matrix Equation AXB+CXD=E with the Least Norm

Journal of Applied Mathematics, 2014
Using the Kronecker product of matrices, the Moore-Penrose generalized inverse, and the complex representation of quaternion matrices, we derive the expressions of least squares solution with the least norm, least squares pure imaginary solution with the
Shi-Fang Yuan
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THE MOORE-PENROSE INVERSE OF TRIDIAGONAL SKEW-SYMMETRIC MATRICES. II [PDF]

, 2023
Yuri R. Hakopian, Avetik H. Manukyan, Hamlet V. Mikaelyan   +2 more
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New Bounds for the Davis–Wielandt Radius via the Moore–Penrose Inverse of Bounded Linear Operators

Axioms
In this paper, we obtain some new upper bounds involving powers of the Davis–Wielandt radius of bounded linear operators with closed ranges by using the Moore–Penrose inverse.
Xiaomei Dong, Yuzhen Guo, Deyu Wu
doaj   +1 more source

An Investigation on Mathematical Modeling of Operators on The Hilbert Domain subjected to The Equality Theory

Journal of Applied Science and Engineering
This work begins by presenting the essential and enough circumstances for the presence of the Hermitian solution to equations ΨXΦ + Φ∗YΨ∗ = Ω = Ψ∗XΦ∗+ ΦYΨ in the case where the operators are linear and bounded in a Hilbert space and in terms of the Moore-
Salim Dawood Mohsen, Ihsan Abdulsattar Awadh   +1 more
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