Results 81 to 90 of about 992,671 (173)

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

The density of the Moore-Penrose inverse of a random matrix

, 1996
The density of the Moore-Penrose inverse of a random matrix is derived by standard matrix calculus.
Neudecker, Heinz, Neudecker, H., Liu, Shuangzhe, Liu, S.   +3 more
core   +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

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

A Novel Multi-User Detection on LS in Impulse Radio UWB Systems

工程科学与技术, 2009
: In this paper, firstly, changes the systems of time-hopping BPSK in UWB into a virtually linear model, secondly， writes least square criterion , one of the optimal criterion of adaptive filtering algorithm, into matrix form, and proposes a new ...
Tang Ning-Jiu, Su Li-yun, Li Zheng, Ju Sheng-gen   +3 more
doaj  

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

Moore–Penrose biorthogonal systems in Euclidean spaces

, 2003
We present a simple approach to a transformation in a Euclidean space based on the Moore–Penrose generalized ...
Fiedler, Miroslav
core   +1 more source

INTERVAL ITERATIVE METHODS FOR COMPUTING MOORE-PENROSE INVERSE ∗

, 2008
In this paper, we import interval method to the iteration for computing Moore-Penrose inverse of the full row (or column) rank matrix. Through modifying the classical Newton iteration by interval method, we can get better numerical results.
Xian Zhang, Yimin Wei, Jianfeng Cai
core  

Reverse order law for the Moore–Penrose inverse

, 2020
In this paper we present new results related to the reverse order law for the Moore-Penrose inverse of operators on Hilbert spaces.
Nebojšač Dinčić, Dragan S Djordjević   +1 more
core  

On the Moore-Penrose Inverse in C∗-algebras

, 2006
In this article, two results regarding the Moore-Penrose inverse in the frame of C*-algebras are considered. In first place, a characterization of the so-called reverse order law is given, which provides a solution of a problem posed by M. Mbekhta.
Enrico Boasso, Boasso, Enrico
core