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RC
2002
103views more  RC 2002»
13 years 4 months ago
Exact Minkowski Products of N Complex Disks
An exact parameterization for the boundary of the Minkowski product of N circular disks in the complex plane is derived. When N > 2, this boundary curve may be regarded as a gen...
Rida T. Farouki, Helmut Pottmann
RC
2002
72views more  RC 2002»
13 years 4 months ago
Symbolic Preconditioning with Taylor Models: Some Examples
Deterministic global optimization with interval analysis involves - using interval enclosures for ranges of the constraints, objective, and gradient to reject infeasible regions, r...
R. Baker Kearfott, G. William Walster
RC
2002
70views more  RC 2002»
13 years 4 months ago
On Existence and Uniqueness Verification for Non-Smooth Functions
Given an approximate solution to a nonlinear system of equations at which the Jacobi matrix is nonsingular, and given that the Jacobi matrix is continuous in a region about this ap...
R. Baker Kearfott
RC
2002
100views more  RC 2002»
13 years 4 months ago
Efficient Interval Linear Equality Solving in Constraint Logic Programming
Existing interval constraint logic programming languages, such as BNR Prolog, work under the framework of interval narrowing and are deficient in solving systems of linear constrai...
Chong-Kan Chiu, Jimmy Ho-Man Lee
RC
2002
96views more  RC 2002»
13 years 4 months ago
Verification of Invertibility of Complicated Functions over Large Domains
A new method to decide the invertibility of a given high-dimensional function over a domain is presented. The problem arises in the field of verified solution of differential algeb...
Jens Hoefkens, Martin Berz