ILL-CONDITIONING

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A ROBUST INTERIOR POINT METHOD FOR COMPUTING THE ANALYTIC CENTER OF AN ILL-CONDITIONED POLYTOPE WITH ERRORS
《Journal of Computational Mathematics》2019年第6期843-865,共23页Zhouhong Wang Yuhong Dai Fengmin Xu 
The authors would like to thank two anonymous referees for their valuable comments and suggestions.The author Yu-hong Dai is supported by the Chinese Natural Science Foundation(Nos.11631013,71331001 and 11331012);the National 973 Program of China(No.2015CB856002);The author Fengmin Xu is supported by the Chinese NSF grants(Nos.11571271,11631013 and 11605139).
In this paper we propose an efficient and robust method for computing the analytic center of the polyhedral set P={x€R^n|Ax=b,x>0},where the matrix A€ Rm×n is ill-conditioned,and there are errors in A and b.Besides o...
关键词：ANALYTIC center ILL-CONDITIONING Unboundedness PRIMAL-DUAL INTERIOR point algorithm Convergence Polynomial complexity 
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