半定内积下的矩阵奇异值分解  

Generalized singular value decompositions with respect to Semi-definite inner product

作　　者：郑禅 李寒宇[1] 

机构地区：[1]重庆大学数学与统计学院,重庆401331

出　　处：《山东大学学报（理学版）》2014年第12期81-86,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11201507)

摘　　要：利用矩阵广义逆研究了其中一个权矩阵为半正定的,另一个权矩阵为正定的加权奇异值分解,同时给出了半定内积下的矩阵奇异值分解及其存在的条件。The generalized inverses of matrices were used to study the weighted singular value decomposition with one of the weight matrices being positive semi-definite and the other being positive definite. Some conditions for the existence of the generalized singular value decompositions with respect to a semi-definite inner product were also presented.

关 键 词：矩阵广义逆 半正定 加权 半定内积 奇异值分解 

分 类 号：O151[理学—数学]