Backward errors of periodic invariant subspaces for regular periodic matrix pairs

Authors：Chen Xiao Shan; Li Wen; Wu Xianping^*

Source：Linear and Multilinear Algebra, 2015, 63(4): 852-861.

DOI：10.1080/03081087.2014.903570

• 65F99
• 65F15
• periodic invariant subspace
• backward error
• Frobenius norm

In this paper, the backward error of periodic invariant subspaces for regular periodic pairs is defined and its explicit expression is derived. In particular, we also present the expression of the backward error of generalized invariant subspaces for the regular matrix pair. The results are illustrated by two numerical examples.

• Institution
  广东药学院; 香港理工大学; 华南师范大学