Item

Tyings in linear systems of equations modelled with positive and negative penalty functions

Abstract
In this short note, we focus on tyings (constraints that relate multiple degrees of freedom) modelled by means of penalty functions. In contrast to what is commonly thought, it is possible to obtain convergent results when negative penalty parameters are taken. A mathematical proof and an illustrating example are provided. In particular, we have proven that the results obtained with positive and negative penalty parameters enclose the exact solution from opposite sides. To this end, we have investigated a pseudo-force that is defined as the derivative of the constraint with respect to the inverse penalty parameter.
Type
Journal Article
Type of thesis
Series
Citation
Askes, H., Piercy, S. & Ilanko, S. (2008). Tyings in linear systems of equations modelled with positive and negative penalty functions. Communications in Numerical Methods in Engineering, 24(11), 1163-1169.
Date
2008
Publisher
John Wiley & Sons Ltd
Degree
Supervisors
Rights
Publisher version