Structured mixed and componentwise condition numbers of some structured matrices

Authors:
Hua Xiang;Yimin Wei
Affiliations:
Institute of Mathematics, Fudan University, Shanghai, 200433, PR China;School of Mathematical Sciences, Fudan University, Shanghai, 200433, PR China and Key Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Ministry of Education, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 14
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Abstract

Structured matrices, such as Cauchy, Vandermonde, Toeplitz, Hankel, and circulant matrices, are considered in this paper. We apply a Kronecker product-based technique to deduce the structured mixed and componentwise condition numbers for the matrix inversion and for the corresponding linear systems.