Results 41 to 50 of about 22,762 (128)

On Nonnegative Moore-Penrose Inverses of Perturbed Matrices

Journal of Applied Mathematics, 2013
Nonnegativity of the Moore-Penrose inverse of a perturbation of the form is considered when . Using a generalized version of the Sherman-Morrison-Woodbury formula, conditions for to be nonnegative are derived.
Shani Jose, K. C. Sivakumar
doaj   +1 more source

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

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

Affine Generalized Inverse for Optimal Control Allocation [PDF]

This research is a follow on to the "Optimal Control Prediction Method for Control Allocation" paper in which the Prediction Method iterative algorithm was introduced.
Acheson, Michael J.
core   +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.
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
doaj   +1 more source

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
doaj   +1 more source

On the Further Properties of the MPBT Inverse and Applications to Special Matrices

Mathematics
This paper aims to simplify the form of the MPBT inverse, further explore its properties, and discuss when it coincides with other generalized inverses. Notably, the MPBT inverse coincides with the Moore–Penrose inverse when the index of the matrix is at
Tingyu Zhao, Yuefeng Gao
doaj   +1 more source

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
doaj   +1 more source