ASYMPTOTIC-BEHAVIOR OF KARMARKAR METHOD FOR LINEAR-PROGRAMMING

被引:5
作者
ASIC, MD [1 ]
KOVACEVICVUJCIC, VV [1 ]
RADOSAVLJEVICNIKOLIC, MD [1 ]
机构
[1] UNIV BELGRADE, FAC ORG SCI, BELGRADE, YUGOSLAVIA
关键词
Karmarkar's algorithm; linear programming; rate of convergence;
D O I
10.1007/BF01585736
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
The asymptotic behaviour of Karmarkar's method is studied and an estimate of the rate of the objective function value decrease is given. Two possible sources of numerical instability are discussed and a stabilizing procedure is proposed. © 1990 North-Holland.
引用
收藏
页码:173 / 190
页数:18
相关论文
共 24 条
[1]  
[Anonymous], 1980, USSR COMP MATH MATH+, DOI [DOI 10.1016/0041-5553(80)90061-0, 10.1016/0041-5553(80)90061-0]
[2]  
ANSTREICHER KM, 1986, UNPUB WORST CASE STE
[3]  
ASIC MD, 1986, 13TH P YUG S OP RES, P81
[4]  
ASIC MD, 1985, 12TH P YUG S OP RES, P33
[5]   A VARIATION ON KARMARKAR ALGORITHM FOR SOLVING LINEAR-PROGRAMMING PROBLEMS [J].
BARNES, ER .
MATHEMATICAL PROGRAMMING, 1986, 36 (02) :174-182
[6]   The Iterative Step in the Linear Programming Algorithm of N. Karmarkar [J].
Blair, C. E. .
ALGORITHMICA, 1986, 1 (1-4) :537-539
[7]  
BLUM L, 1985, UNPUB ASYMPTOTIC ANA
[8]   A VARIABLE-METRIC VARIANT OF THE KARMARKAR ALGORITHM FOR LINEAR-PROGRAMMING [J].
DENNIS, JE ;
MORSHEDI, AM ;
TURNER, K .
MATHEMATICAL PROGRAMMING, 1987, 39 (01) :1-20
[9]  
Dikin II., 1974, UPRAVLYAEMYE SISTEMI, V12, P54
[10]  
GELFAND IM, 1967, LECTURES LINEAR ALGE