TOWARDS A STRONGLY POLYNOMIAL ALGORITHM FOR STRICTLY CONVEX QUADRATIC PROGRAMS - AN EXTENSION OF TARDO ALGORITHM

被引:8
作者
GRANOT, F
SKORINKAPOV, J
机构
[1] Faculty of Commerce and Business Administration, The University of British Columbia, Vancouver, V6T 1Y8, B.C.
关键词
Quadratic programming; strong polynomiality;
D O I
10.1007/BF01585740
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
In a recent paper Tardos described a polynomial algorithm for solving linear programming problems in which the number of arithmetic steps depends only on the size of the numbers in the constraint matrix and is independent of the size of the numbers in the right hand side and the cost coefficients. In this paper we extend Tardos' results and present a polynomial algorithm for solving strictly convex quadratic programming problems in which the number of arithmetic steps is independent of the size of the numbers in the right hand side and the linear cost coefficients. © 1990 North-Holland.
引用
收藏
页码:225 / 236
页数:12
相关论文
共 13 条
[11]  
KOZLOV MK, 1979, SOV MATH DOKL, V20, P1108
[12]   A POLYNOMIAL ALGORITHM FOR MINIMUM QUADRATIC COST FLOW PROBLEMS [J].
MINOUX, M .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1984, 18 (03) :377-387
[13]   A STRONGLY POLYNOMIAL ALGORITHM TO SOLVE COMBINATORIAL LINEAR-PROGRAMS [J].
TARDOS, E .
OPERATIONS RESEARCH, 1986, 34 (02) :250-256