We give a very short proof of the main result of J. Benitez, A new decomposition for square matrices, Electron. J. Linear Algebra 20 (2010) 207-225. Also, we present some consequences of this result. (C) 2012 Elsevier Inc. All rights reserved.The first author is supported by Work funded by Vicerrectorado de Investigacion U.P.V. PAID 06-2010-2285. The second author is supported by the National Natural Science Foundation of China (11061005), the Ministry of Education Science and Grants (HCIC201103) of Guangxi Key Laboratory of Hybrid Computational and IC Design Analysis Open Fund.Benítez López, J.; Liu, X. (2013). A short proof of a matrix decomposition with applications. Linear Algebra and its Applications. 438(3):1398-1414. doi:10.1016/j.la...
AbstractWe consider the Multiplicative Decomposition Property (the multiplicative analogue of the Ri...
AbstractThe main task of the paper is to demonstrate that Corollary 6 in [R.E. Hartwig, K. Spindelbö...
The sign function of a square matrix was introduced by Roberts in 1971. We show that it is useful to...
We give a very short proof of the main result of J. Benitez, A new decomposition for square matrices...
We show the uniqueness and construction (of the Z matrix in Theorem 1, to be exact) of a matrix deco...
In 1954, Alston S. Householder published Principles of Numerical Analysis, one of the first modern t...
Abstract. A new decomposition is derived for any complex square matrix. This decomposition is based ...
In this work, we carry out a study of the different methods of matrix decomposition, a fundamental t...
We study the relations between product decomposition of singular matrices into products of idempoten...
orem which states that an arbitrary square matrixM over an algebraically closed field can be decompo...
Let A be an m x n matrix with m greater than or equal to n. Then one form of the singular-value deco...
Using a simple trigonometric limit, we provide an intuitive geometric proof of th
Dans cette étude, quelques développements matriciels sont proposés dans le but d'aboutir à la décomp...
AbstractIt is shown that if det A=±1, then A=±qi=1Bi, where Bi2 = I. This decomposition is used to f...
This unique and innovative book presents an exciting and complete detail of all the important topics...
AbstractWe consider the Multiplicative Decomposition Property (the multiplicative analogue of the Ri...
AbstractThe main task of the paper is to demonstrate that Corollary 6 in [R.E. Hartwig, K. Spindelbö...
The sign function of a square matrix was introduced by Roberts in 1971. We show that it is useful to...
We give a very short proof of the main result of J. Benitez, A new decomposition for square matrices...
We show the uniqueness and construction (of the Z matrix in Theorem 1, to be exact) of a matrix deco...
In 1954, Alston S. Householder published Principles of Numerical Analysis, one of the first modern t...
Abstract. A new decomposition is derived for any complex square matrix. This decomposition is based ...
In this work, we carry out a study of the different methods of matrix decomposition, a fundamental t...
We study the relations between product decomposition of singular matrices into products of idempoten...
orem which states that an arbitrary square matrixM over an algebraically closed field can be decompo...
Let A be an m x n matrix with m greater than or equal to n. Then one form of the singular-value deco...
Using a simple trigonometric limit, we provide an intuitive geometric proof of th
Dans cette étude, quelques développements matriciels sont proposés dans le but d'aboutir à la décomp...
AbstractIt is shown that if det A=±1, then A=±qi=1Bi, where Bi2 = I. This decomposition is used to f...
This unique and innovative book presents an exciting and complete detail of all the important topics...
AbstractWe consider the Multiplicative Decomposition Property (the multiplicative analogue of the Ri...
AbstractThe main task of the paper is to demonstrate that Corollary 6 in [R.E. Hartwig, K. Spindelbö...
The sign function of a square matrix was introduced by Roberts in 1971. We show that it is useful to...