A CANCELLATION PROPERTY OF THE MOORE–PENROSE INVERSE OF TRIPLE PRODUCTS

Journal of the Australian Mathematical Society

TOBIAS DAMM¹ 

[1] HARALD K. WIMMER

关键词: primary 15A09;    secondary 15A24;    15A90;   

DOI  :  10.1017/S144678870800044X

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We study the matrix equation C(BXC)†B=X†, where X† denotes the Moore–Penrose inverse. We derive conditions for the consistency of the equation and express all its solutions using singular vectors of B and C. Applications to compliance matrices in molecular dynamics, to mixed reverse-order laws of generalized inverses and to weighted Moore–Penrose inverses are given.

【 授权许可】

Unknown