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加权投影算子与加权广义逆矩阵
ON THE WEIGHTED PROJECTOR AND WEIGHTED GENERALIZED INVERSE MATRICES
【摘要】 <正> 本文采用的术语与记号按照文献[1],如有不同于它的记号出现,则另作说明。设Cm,Cn中分别定义了加权内积(准内积):(x,y)m=xMy,(x,y)n=xNy,其中M,N分别是m,n阶(Hermite)正定阵(正半定阵)。 设A∈Cm×n,则可如下定义Cm到子空间R(A)内的投影算子P(R(A):M:
【Abstract】 In this paper relations between weighted and oblique projectors are considered, and the results in [2] are generalized,and some explicit expressions for weighted generalized inverse matrices are given.
- 【文献出处】 应用数学学报 ,Acta Mathematicae Applicatae Sinica , 编辑部邮箱 ,1983年03期
- 【被引频次】27
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