Minimization methods for non-differentiable functions
Minimization methods for non-differentiable functions
Inner solutions of linear interval systems
Proceedings of the International Symposium on interval mathematics on Interval mathematics 1985
Solving the linear interval tolerance problem
Mathematics and Computers in Simulation
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This paper is concerned with a tolerance problem for an interval linear system Ax = b requiring inner estimation of the admissible solution set {x ∈ \mathbb{R}n | (∀A ∈ A)(Ax ∈ b)} formed by vectors x for which the product Ax remains within b for any possible A ∈ A. Methods for verifying the emptiness and nonemptiness of admissible solution sets are developed. Formulas for the dimensions of the interval solution of a tolerance problem with known center are derived.