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A new approach to the analysis of random methods for detecting necessary linear inequality constraints
Authors:Richard J. Caron  J. F. McDonald
Affiliation:(1) Department of Mathematics and Statistics, University of Windsor, N9B 3P4 Windsor, Ontario, Canada
Abstract:A new approach is given for the analysis of random methods for detecting necessary constraints in systems of linear inequality constraints. This new approach directly accounts for the fact that two constraints are detected as necessary (hit) at each iteration of a random method. The significance of this two-hit analysis is demonstrated by comparing it with the usual one-hit analysis.
Keywords:Random methods  necessary constraints  redundancy  coordinate directions  hypersphere directions  linear inequalities
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