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

作者：Damm Tobias^*; Wimmer Harald K

来源：Journal of the Australian Mathematical Society, 2009, 86(1): 33-44.

DOI：10.1017/S144678870800044X

• Moore-Penrose generalized inverse
• compliance matrix
• reverse-order property
• weighted generalized inverse
• Wedderburn-Guttman theorem
• matrix equations

We study the matrix equation C(BXC)B-dagger = X-dagger, where X-dagger 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.

• 出版日期2009-2