We propose a hyperpower iteration for numerical computation of the outer generalized inverse of a matrix which achieves the 18th order of convergence by using only seven matrix multiplication per iteration loop. This is the record high efficiency for that computational task. The algorithm has a ...
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....
A solution of these questions can be found in general from the notion of 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...
inverse coefficient matrix 逆系数矩阵 quasi inverse matrix 拟逆阵 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...
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
14.The matrix is defined as the reciprocal of A.该矩阵定义为A之逆矩阵。 15.The Representation of Generalized Inverses of Matrices over Communicative Rings and Its Applications;交换环上矩阵广义逆的表示及其应用 16.T-type{1}-generalized Inverse of Matrices on a Complete Brouwer Lattice;完备Brouwer格...
laplacian matrix - Bozzo, Franceschet () Citation Context ...Department of Mathematics, University of Padua, via Trieste 63, 35100 Padova, Italy, acalomar@dmsa.unipd.it 12 equations [22], and the approximation of the generalized inverse of the graph Laplacian =-=[19]-=-, to mention a ...
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...
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 ...
M.F. Smith, "Generalized matrix inverse reconstruction i for SPECT using a weighted singular value spectrum", IEEE Trans, on Nucl. Sci., vol. 43, No. 3, pp. 2008- 2017, June 1996.M. F. Smith, "Generalized matrix inverse reconstruction for SPECT using a weighted singular value spectrum...