QUADRATIC CONVERGENCE IN A PRIMAL-DUAL METHOD

被引:29
作者
MEHROTRA, S
机构
关键词
D O I
10.1287/moor.18.3.741
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
We show that the Mizuno-Todd-Ye O(square-root n L) iteration predictor-corrector primal-dual interior-point algorithm for linear programming is quadratically convergent. Our proof does not assume that the problems be nondegenerate. We do not assume that the iterate generated by the algorithm be convergent, an assumption common to all previous asymptotic convergence analysis.
引用
收藏
页码:741 / 751
页数:11
相关论文
共 21 条
[1]  
GOLDMAN A. J., 1956, LINEAR INEQUALITIES, P53
[2]  
GULER O, 1991, 914 U IOW COLL BUS A
[3]   A POLYNOMIAL-TIME ALGORITHM FOR A CLASS OF LINEAR COMPLEMENTARITY-PROBLEMS [J].
KOJIMA, M ;
MIZUNO, S ;
YOSHISE, A .
MATHEMATICAL PROGRAMMING, 1989, 44 (01) :1-26
[4]  
LUSTIG IG, 1989, LINEAR ALGEBRA APPL, V152
[5]  
McShane K. A., 1990, ORSA Journal on Computing, V1, P70, DOI 10.1287/ijoc.1.2.70
[6]  
MEHROTRA S, 1991, IN PRESS MATH PROGRA
[7]  
MEHROTRA S, TR9113 NW U DEP IND
[8]  
MEHROTRA S, 1990, IN PRESS SIAM J OPTI
[9]  
MIZUNO S, 1990, IN PRESS MATH OPER R
[10]   INTERIOR PATH FOLLOWING PRIMAL-DUAL ALGORITHMS .1. LINEAR-PROGRAMMING [J].
MONTEIRO, RDC ;
ADLER, I .
MATHEMATICAL PROGRAMMING, 1989, 44 (01) :27-41