The relaxation method for inconsistent systems of linear inequalities (The limit-point set)

1969 ◽  
Vol 5 (4) ◽  
pp. 270-274
Author(s):  
V. D. Mazurov
Keyword(s):  
Limit Point ◽  
Relaxation Method ◽  
Linear Inequalities ◽  
Inconsistent Systems ◽  
Point Set ◽  
Systems Of Linear Inequalities

Graphs generated by inconsistent systems of linear inequalities

1983 ◽  
Vol 33 (2) ◽  
pp. 146-150
Author(s):  
D. N. Gainanov ◽  
V. Yu. Novokshenov ◽  
L. I. Tyagunov
Keyword(s):  
Linear Inequalities ◽  
Inconsistent Systems ◽  
Systems Of Linear Inequalities

Iterative solution of inconsistent systems of linear inequalities

PAMM ◽  
2013 ◽  
Vol 13 (1) ◽  
pp. 407-408 ◽  
Author(s):  
Doina Carp ◽  
Constantin Popa ◽  
Cristina Serban
Keyword(s):  
Iterative Solution ◽  
Linear Inequalities ◽  
Inconsistent Systems ◽  
Systems Of Linear Inequalities

scholarly journals Modified Han algorithm for inconsistent linear inequalities

2015 ◽  
Vol 31 (1) ◽  
pp. 45-52
Author(s):  
DOINA CARP ◽  
◽  
CONSTANTIN POPA ◽  
CRISTINA SERBAN ◽  
◽  
...  
Keyword(s):  
Iterative Method ◽  
Least Squares ◽  
Numerical Experiments ◽  
Linear Inequalities ◽  
Convergence Properties ◽  
Minimal Norm ◽  
Direct Solver ◽  
Least Squares Solution ◽  
Inconsistent Systems ◽  
Systems Of Linear Inequalities

In this paper we present a modified version of S. P. Han iterative method for solving inconsistent systems of linear inequalities. Our method uses an iterative Kaczmarz-type solver to approximate the minimal norm least squares solution of the problems involved in each iteration of Han’s algorithm. We prove some convergence properties for the sequence of approximations generated in this way and present numerical experiments and comparisons with Han’s and other direct solver based methods for inconsistent linear inequalities.

Sign in / Sign up

Export Citation Format

Share Document