Approximation and continuity of Moore-Penrose inverses of orthogonal row block matrices

作者：Tian Yongge^*

来源：Applied Mathematics and Computation, 2009, 210(1): 18-25.

DOI：10.1016/j.amc.2008.10.027

• Block matrix
• Moore-Penrose inverse
• Norm inequalities
• Orthogonal projector
• Approximation
• Continuity

A well-known result on the Moore-Penrose inverse of row block matrix asserts that [A, B](dagger) = [A(dagger) B(dagger)] if and only if A*B = 0, where (.)(dagger) and (.)* denote the Moore-Penrose inverse and the conjugate transpose of a matrix, respectively. In this paper, we show some norm inequalities for the difference [A, B](dagger) = [A(dagger) B(dagger)], and then use the norm inequalities to investigate approximation and continuity of [A, B](dagger) as A*B -> 0.

• 出版日期2009-4
• 单位中央财经大学