The Relaxation Method for Linear Inequalities

1988 ◽  
pp. 75-86
Author(s):  
T. S. Motzkin ◽  
I. J. Schoenberg
Keyword(s):  
Relaxation Method ◽  
Linear Inequalities

The Relaxation Method for Linear Inequalities

1988 ◽  
pp. 75-86
Author(s):  
T. S. Motzkin ◽  
I. J. Schoenberg
Keyword(s):  
Relaxation Method ◽  
Linear Inequalities

A relaxation method for solving systems with infinitely many linear inequalities

2010 ◽  
Vol 6 (2) ◽  
pp. 291-298 ◽  
Author(s):  
E. González-Gutiérrez ◽  
M. I. Todorov
Keyword(s):  
Relaxation Method ◽  
Linear Inequalities

The Relaxation Method for Linear Inequalities

1954 ◽  
Vol 6 ◽  
pp. 393-404 ◽  
Author(s):  
T. S. Motzkin ◽  
I. J. Schoenberg
Keyword(s):  
Euclidean Space ◽  
Relaxation Method ◽  
Linear Inequalities ◽  
Dimensional Euclidean Space ◽  
Closed Set ◽  
Image Position ◽  
Set Of Points

Let A be a closed set of points in the n-dimensional euclidean space En. If p and p1 are points of En such that1.1then p1 is said to be point-wise closer than p to the set A. If p is such that there is no point p1 which is point-wise closer than p to A, then p is called a closest point to the set A.

The Relaxation Method for Linear Inequalities

1954 ◽  
Vol 6 ◽  
pp. 382-392 ◽  
Author(s):  
Shmuel Agmon
Keyword(s):  
Linear Programming ◽  
Linear Form ◽  
Relaxation Method ◽  
Linear Inequalities ◽  
System Of Linear Inequalities ◽  
Image Position

In various numerical problems one is confronted with the task of solving a system of linear inequalities:(1.1) (i = 1, … ,m)assuming, of course, that the above system is consistent. Sometimes one has, in addition, to minimize a given linear form l(x). Thus, in linear programming one obtains a problem of the latter type.

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