On perturbation bounds of Kronecker product linear systems and their level-2 condition numbers
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摘要
The classical perturbation theory of linear systems Ax=b is extended to Kronecker product linear systems (A⊗B)x=d. Upper bounds are derived for the normwise and componentwise condition number. The nearness to singularity and the sensitivity of the condition numbers are analyzed.
论文关键词：65F15,65F10,Backward error,Componentwise,Condition number,Kronecker product,Normwise,Perturbation,Sensitivity
论文评审过程：Received 11 May 2004, Revised 7 December 2004, Available online 11 March 2005.
论文官网地址：https://doi.org/10.1016/j.cam.2005.01.014
