Results 61 to 70 of about 790 (92)

On relationships between two linear subspaces and two orthogonal projectors

Special Matrices, 2019
Sum and intersection of linear subspaces in a vector space over a field are fundamental operations in linear algebra. The purpose of this survey paper is to give a comprehensive approach to the sums and intersections of two linear subspaces and their ...
Tian Yongge
doaj   +1 more source

EXPLICIT MINIMUM POLYNOMIAL, EIGENVECTOR, AND INVERSE FORMULA FOR NONSYMMETRIC ARROWHEAD MATRIX

, 2016
In this paper, we treat the eigenvalue problem for a nonsymmetric arrowhead matrix which is the general form of a symmetric arrowhead matrix. The purpose of this paper is to present explicit formula of determinant, inverse, minimum polynomial, and ...
W. Wanicharpichat
semanticscholar   +1 more source

A matrix approach to compare BLUEs under a linear regression model and its two competing restricted models with applications

Demonstratio Mathematica
Suppose that a weakly singular linear regression model M{\mathscr{M}} and its two competing restricted models M1{{\mathscr{M}}}_{1} and M2{{\mathscr{M}}}_{2} are given.
Ren Xingwei
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Extensions of pseudo-Perron-Frobenius splitting related to generalized inverse AT,S(2)

Special Matrices, 2018
We in this paper define the outer-Perron-Frobenius splitting, which is an extension of the pseudo- Perron-Frobenius splitting defined in [A.N. Sushama, K. Premakumari, K.C.
Huang Shaowu, Wang Qing-Wen, Wu Shuxia, Yu Yaoming   +3 more
doaj   +1 more source

A Hadamard product involving inverse-positive matrices

Special Matrices, 2015
In this paperwe study the Hadamard product of inverse-positive matrices.We observe that this class of matrices is not closed under the Hadamard product, but we show that for a particular sign pattern of the inverse-positive matrices A and B, the Hadamard
Gassó Maria T., Torregrosa Juan R., Abad Manuel F.   +2 more
doaj   +1 more source

The uniqueness of expression for generalized quadratic matrices

Open Mathematics
It is shown that the expression as A2=αA+βP{A}^{2}=\alpha A+\beta P for generalized quadratic matrices is not unique by numerical examples. Then it is proven that the uniqueness of expression for generalized quadratic matrices is concerned not only with ...
Chen Meixiang, Yang Zhongpeng, Chen Qinghua   +2 more
doaj   +1 more source

Weak dual generalized inverse of a dual matrix and its applications. [PDF]

Heliyon, 2023
Li H, Wang H.
europepmc   +1 more source

Singular M-matrices which may not have a nonnegative generalized inverse

Special Matrices, 2014
A matrix A ∈ ℝn×n is a GM-matrix if A = sI − B, where 0 < ρ(B) ≤ s and B ∈WPFn i.e., both B and Bthave ρ(B) as their eigenvalues and their corresponding eigenvector is entry wise nonnegative.
Sushama Agrawal N., Premakumari K., Sivakumar K.C.   +2 more
doaj   +1 more source

On the convergence theory of double K-weak splittings of type II. [PDF]

Appl Math (Prague), 2022
Shekhar V, Mishra N, Mishra D.
europepmc   +1 more source

A mathematical theory of super-resolution and two-point resolution

Forum of Mathematics, Sigma
This paper focuses on the fundamental aspects of super-resolution, particularly addressing the stability of super-resolution and the estimation of two-point resolution. Our first major contribution is the introduction of two location-amplitude identities
Ping Liu, Habib Ammari
doaj   +1 more source