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三矩阵乘积的加权广义逆的混合序

he mixed-type reverse-order laws for weighted generalized inverses of a triple matrix product

中文摘要英文摘要

本文利用广义Schur补的极大、极小秩研究了三个矩阵乘积的加权广义逆的混合序问题,并且给出了这些混合序成立的充分必要条件.

In this paper, we study a group of mixed-type reverse order laws for weighted generalized inverses of a triple matrix product by using the expressions of maximal and minimal ranks of generalized Schur complement. The necessary and sufficient conditions for this group of mixed-type reverse order laws are presented.

姜春凤、熊志平

数学

分块矩阵初等变换加权广义逆极大、极小秩广义Schur补反序律混合序.

Elementary block matrix operationsWeighted generalized inverseMaximal and minimal ranksGeneralized Schur complementReverse-order lawsMixed-type reverse-order laws.

姜春凤,熊志平.三矩阵乘积的加权广义逆的混合序[EB/OL].(2008-01-24)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/200801-711.点此复制

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