基于块初等变换的Schur补矩阵的不变性  

Invariance of Schur complement of matrix based on the block elementary transformation

作　　者：张伟[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》2014年第5期423-425,共3页Journal of Guilin University of Electronic Technology

基　　金：广西自然科学基金(2011GXNSFA018138)

摘　　要：为了减小大型矩阵计算的规模,简化大型矩阵Schur补的计算,基于块初等变换,研究多阶分块矩阵Schur补的不变性,同时证明了一个特殊类型矩阵Schur补和的等式,为处理大型矩阵Schur补提供了有效方法。In order to reduce the large-scale matrix calculation and simplify the calculation of schur complement,the invariance of Schur complement of multi order block matrix is studied based on the block elementary transformation,and a sum identity about Schur complement of three special matrices is proved.The conclusions provide that it is a effective way for dealing with Schur complement of the largel-scale matrix.

关 键 词：SCHUR补 块初等变换 等式 

分 类 号：O151.21[理学—数学]