Rao1 has shown in a lemma that a generalized inverse (g-inverse) always exists, although in the case of a singular matrix it may not be unique.doi:10.1038/1981019b0KOOP, J. C.NatureJ. C. Koop, "Generalized inverse of a singular matrix," Nature, vol. 200, p. 716, 1963.
美 英 un.广义逆矩阵 英汉 un. 1. 广义逆矩阵 例句 释义: 全部,广义逆矩阵
1) generalized inverse of a matrix 一般逆矩阵理论1. This paper is an endeavour to overcome the calculating efficiency due to displacement finite element method,based on generalized inverse of a matrix theory and using optimum concepts,to develop both governing equations of LIM in separate stages ...
Here, A -1 is called the inverse (matrix) of A defining the inverse transformation from y ∈ E n to x ∈ E m , whereas the matrix A represents a transformation from x to y . When A is n by m , Ax = y has a solution if and only if y ∈ Sp( A ). Even then, if Ker(...
A matrix has an inverse only if it is square, and even then only if it is nonsingular, or, in other words, if its columns (or rows) are linearly independent. In numerous areas of applied mathematics, some kind of partial inverse of a matrix that is singular or even rectangular are ne...
inverse of a square matrix 方阵的逆矩阵 相似单词 generalized adj. 一般化 inverse n. 反白,反色 a. 倒转的,相反的 matrix n. 1.【数学】矩阵 2.(人或社会成长发展的)社会环境,政治局势 3.线路网,道路网 4.【术语】基体,铸模 5.【计算机】矩阵转接电路 6.【地理】杂基 Matrix n. 矩阵 n. 矩...
a generalized inverse of a matrix: Definition. If A is an m× n matrix, then G is a generalized inverse of A if G is an n ×m matrix with AGA = A (1.2) If A has an inverse in the usual sense, that is if A is n×n and has a two-sided inverse A −1 , then A ...
Moore-Penrose generalized inverse of a rectangular matrix. In Kalaba et al.[3] we show how Decell's algorithm, given by a finite sequence of matrices and scalars to be computed recursively, can be useful in the development of the algebraic properties of the Moore-Penrose generalized inverse....
Approximations of the generalized inverse of the graph laplacian matrix - Bozzo, Franceschet () Citation Context ... for the solution of large sets of 1st order linear differential equations [24]. Computation of a few eigenpairs is also crucial in the approximation of the generalized inverse of...
Using singular values decomposition of matrix and generalized inverse of matrix, the singular values standard form for linear gen-eralized system has been obtained. 研究了广义线性系统的极点配置问题,利用矩阵的奇异值分解和矩阵的广义逆得到了广义线性系统的奇异值标准形,使得广义线性系统的极点配置问题转变为...