A new iterative scheme for the computation of the Moore-Penrose generalized inverse of an arbitrary rectangular or singular complex matrix is proposed. The method uses ap- propriate error bounds and is applicable without restrictions on the rank of the matrix. But, it requires that the rank of ...
予以确定, 其中是阶方阵. 在历史上, 上面这四个条件是Penrose(就是那位撰写了《皇帝新脑》《通向实在之路》等“科普书”, 并得了诺贝尔物理学奖的Roger Penrose)于1955年最先提出来的(见A generalized inverse for matrices, ...
Metric generalized inverseperturbationbest approximate solutionLet X = L-p(Omega, mu) (1 < p < infinity), let T is an element of B(X) with closed range. In this paper, utilizing the gap between closed subspaces and the perturbation bounds of metric projections, we present some new ...
We define the generalized Moore-Penrose inverse and give necessary and sufficient conditions for its existence over an integral domain. We also prove its uniqueness and give a formula for it which leads us towards a “generalized Cramer's rule” to find the generalized Moore-Penrose solution.Previ...
How to calculate Moore-Penrose generalized inverse? Matrix A rectangular array of numbers is called a matrix. A matrix A of order m \times n can be represented in the following form: {eq}A = \left( {\begin{align*} &{{a_{11}}}& \ldots &{{a_{1n}}}\\ \vdots & \ddots & ...
OntheMoore–PenrosegeneralizedinversematrixMedhatA.Rakha1DepartmentofMathematics,CollegeofScience,SuezCanalUniversity,Ismailia(41522),EgyptAbstractInt..
(3):340-350. DOI: 10.11947/j.AGCS.2022.20200597WANG Ke, LIU Guolin, FU Zhengqing, et al. A separable nonlinear least squares solution method based on Moore-Penrose generalized inverse and solid matrix[J]. Acta Geodaetica...
This paper dealt with parallel computation of theMoore-Penrose inverseof a bidiagonal matrix. 研究用一种叫分而治之的算法以计算上双对角阵的Moore-Penrose广义逆。 更多例句>> 3) Moore-Penrose generalized inverse Moore-Penrose广义逆 1. The method how to get theMoore-Penrose generalized inverseis also...
This paper dealt with parallel computation of theMoore-Penrose inverseof a bidiagonal matrix. 研究用一种叫分而治之的算法以计算上双对角阵的Moore-Penrose广义逆。 更多例句>> 3) Moore-Penrose generalized inverse Moore-Penrose广义逆 1. The method how to get theMoore-Penrose generalized inverseis also...
The recursive method for computing the generalized LM-inverse of a constant rectangular matrix augmented by a column vector is proposed in Udwadia and Phohomsiri (2007) [16,17]. The corresponding algorithm for the sequential determination of the generalized LM-inverse is established in the present...