On Weighted Group Inverses of Matrices with Generalized-Factorizatioa

机译：具有广义因子矩阵的矩阵的加权群逆

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摘要

In this article, the weighted Group-inverse of rectangular matrix with generalized-factorization are studied, and some new necessary and sufficient conditions for existences and expressions of it are given.

机译：本文研究了具有广义因式分解的矩形矩阵的加权Group-inverse，并给出了其存在和表示的一些新的充要条件。

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《The Third International Workshop on Applied Matrix Theory（第三届国际矩阵分析与应用会议）论文集》|2009年|251-255|共5页
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Shiguang Zhang; Xiaoji Liu; Yanli Zhang; Ting Zhou; Shijie Bao;
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Rectangular matrix; Generalized-factorization; Weighted Group-inverse;

机译：矩形矩阵;广义分解;加权群逆;

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1. Computation of weighted Moore-Penrose inverse through Gauss-Jordan elimination on bordered matrices [J] . Sheng Xingping Applied mathematics and computation . 2018,第期

机译：通过GASS-JORDAN消除在边界矩阵上的加权摩洛猪的计算
2. Weighted G-Drazin inverses and a new pre-order on rectangular matrices [J] . Coll C., Lattanzi M., Thome N. Applied mathematics and computation . 2018,第期

机译：加权G-DRAZIN反转和矩形矩阵上的新预订
3. COMPUTING THE WEIGHTED GEOMETRIC MEAN OF TWO LARGE-SCALE MATRICES AND ITS INVERSE TIMES A VECTOR [J] . Fasi Massimiliano, Iannazzo Bruno SIAM Journal on Matrix Analysis and Applications . 2018,第1期

机译：计算两个大规模矩阵的加权几何平均值及其逆时针
4. On Weighted Group Inverses of Matrices with Generalized-Factorizatioa [C] . Shiguang Zhang, Xiaoji Liu, Yanli Zhang, International workshop on matrix analysis and applications . 2009

机译：在具有广义体系中的加权组矩阵逆
5. Characterizations of matrices enjoying the Perron-Frobenius property and generalizations of M-matrices which may not have nonnegative inverses. [D] . Elhashash, Abed. 2008

机译：享受Perron-Frobenius属性的矩阵的刻画以及可能没有非负逆的M矩阵的推广。
6. Comparison of Two Meta-Analysis Methods: Inverse-Variance-Weighted Average and Weighted Sum of Z-Scores [O] . Cue Hyunkyu Lee, Seungho Cook, Ji Sung Lee, 2016

机译：两种方差分析方法的比较：方差加权平均和Z分数的加权和
7. Drazin inverse of singular adjacency matrices of directed weighted cycles [O] . Andrés M. Encinas, Daniel A. Jaume, Cristian Panelo, 2020

机译：Drazin对指向加权循环的奇异邻接矩阵的逆

On Weighted Group Inverses of Matrices with Generalized-Factorizatioa

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