Condition number of singular value: zero-structured and patterned case

Abstract

In this paper, the condition number of singular value is discussed. The expressions of the zero-structured and patterned conditioning are also studied. The numerical tests are reported to provide interesting information about the singular value sensitivity when the perturbations of the matrix have arbitrarily assigned zero-structured and patterned case.

Keywords:

• singular value
• condition number
• perturbation

2000 AMS Subject Classification :

• 15A09
• 65F20

Acknowledgements

Ke Wang was supported by China Postdoctoral Science Foundation (no. 20060400634). Yimin Wei was supported by the National Natural Science Foundation of China and Shanghai Education Committee under Grant 06FZ024. The authors thank Professors S. Noschese and L. Pasquini for their papers and Matlab codes and the referee for the detailed comments.