Structured mixed and componentwise condition numbers of some structured matrices

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摘要

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.

论文关键词：15A09,65F05,65G05,Cauchy,Circulant,Componentwise,Condition number,Hankel,Kronecker product,Mixed,Structured matrix,Toeplitz,Vandermonde

论文评审过程：Received 20 May 2005, Revised 22 December 2005, Available online 2 May 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2006.02.026