ISSN:
0945-3245
Keywords:
Mathematics Subject Classification (1991):65K10, 90C33
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary. This paper proposes a validation method for solutions of linear complementarity problems. The validation procedure consists of two sufficient conditions that can be tested on a digital computer. If the first condition is satisfied then a given multidimensional interval centered at an approximate solution of the problem is guaranteed to contain an exact solution. If the second condition is satisfied then the multidimensional interval is guaranteed to contain no exact solution. This study is based on the mean value theorem for absolutely continuous functions and the reformulation of linear complementarity problems as nonsmooth nonlinear systems of equations.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002110050437