On regular and singular interval systems

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摘要

We give a survey on interval linear systems discussing problems for regular systems as well as for singular ones. We consider several solution sets and direct methods to enclose them. Moreover we study iterative methods, particularly the total step method as the basis for other ones. We also use this method for enclosing solutions of singular linear systems.

论文关键词:15A06,65G20,65G30,65G40,Interval linear system,Solution set,Interval Gaussian algorithm,Interval Cholesky method,Total step method,Singular interval linear system

论文评审过程:Received 3 December 2004, Available online 30 January 2006.

论文官网地址:https://doi.org/10.1016/j.cam.2005.07.033