延拓矩阵Rayleigh商的近似奇异子空间  

The Approximate Singular Subspace for the Rayleigh Quotient of Extended Matrix

作　　者：吴强[1] 

机构地区：[1]茂名职业技术学院基础部,广东茂名525000

出　　处：《西南师范大学学报（自然科学版）》2010年第3期19-22,共4页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：在知道母矩阵A和延拓矩阵Rk(A)的奇异值分解下,导出了延拓矩阵Rk(A)的Rayleigh商与母矩阵A的奇异值间的定量关系,得到了延拓矩阵Rk(A)的Rayleigh商的近似奇异子空间的扰动界与母矩阵A的奇异值间的定量关系.Knowing the singular value decompositions of the mother matrix A and of extended matrix Rk（A）,the quantitative relationship between the Rayleigh quotient of the extended matrix Rk（A） and the singular value of the mother matrix A is deduced,and the quantitative relationship between the perturbation bound of the approximation singular subspace of the Rayleigh quotient of the extended matrix Rk（A） and the singular value of the mother matrix A is got.

关 键 词：延拓矩阵 奇异值分解 奇异向量 RAYLEIGH商 奇异子空间 

分 类 号：O151.21[理学—数学]