矩阵和的Schur补的性质  

The properties of Schur complement of the sum of block matrix

作　　者：狄勇婧[1] 段复建[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《桂林电子科技大学学报》2012年第6期490-492,共3页Journal of Guilin University of Electronic Technology

基　　金：广西自然科学基金(2011GXNSFA018138)

摘　　要：为减少大规模的矩阵计算,简化矩阵方程的数值计算,研究了分块矩阵和的Schur补的性质。通过研究矩阵的分块置换对Schur补的影响,获得分块矩阵和的Schur补的2个性质,并在理论上予以证明,为处理大规模的矩阵计算提供了理论支撑。In order to reduce the large-scale matrix calculation and simplify the matrix equation numerical calculation, the properties of Schur complement of the sum of block matrix was studied. The two properties of Schur comple- ment of the sum of block matrix were obtained by the effect of Schur complement with the replacement of block. They were proved in the theory, the theoretical support was provided to deal with the large-scale matrix calculation.

关 键 词：分块矩阵 分块置换 SCHUR补 

分 类 号：O151.21[理学—数学]