桂林电子科技大学学报2017，Vol.37Issue(4)：337-340,4.
矩阵和与幂的Schur补秩的性质
Rank properties of Schur complement of matrices sum and power
摘要
Abstract
In order to reduce the scale of the matrix and improve the computational efficiency of the large matrix,rank prop-erties of Schur complement of the matrix under the addition and multiplication are analysed by using the theoretical knowl-edge of the matrix Schur complement and the rank inequality of matrix product.The inequality between the rank of Schur complement and the rank of the subgroup power,the inequality between the rank of the matrix power and the rank of Schur complement matrix,and rank inequality of the matrices sum under Schur complement are obtained.关键词
Schur补矩阵/矩阵的秩/分块矩阵Key words
Schur complement matrix/matrix rank/block matrix分类
数理科学引用本文复制引用
李春红,段复建..矩阵和与幂的Schur补秩的性质[J].桂林电子科技大学学报,2017,37(4):337-340,4.基金项目
国家自然科学基金(11461015) （11461015）
