AN ENCLOSURE METHOD FOR FREE BOUNDARY PROBLEMS BASED ON A LINEAR COMPLEMENTARITY PROBLEM WITH INTERVAL DATA*

DOI10.1081/NFA-100108319zbMath1022.90033OpenAlexW1965895952MaRDI QIDQ2785249

Uwe Schäfer

Publication date: 16 October 2002

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-100108319

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Algorithms with automatic result verification (65G20)

Related Items (15)

On computer-assisted proofs for solutions of linear complementarity problems ⋮ Validation and enclosure of solutions of linear complementarity problems ⋮ On Cvetković-Kostić-Varga type matrices ⋮ Error bounds for linear complementarity problems of \(S\)-Nekrasov matrices and \(B\)-\(S\)-Nekrasov matrices ⋮ Newton iterations in implicit time-stepping scheme for differential linear complementarity systems ⋮ On the asymptotic optimality of error bounds for some linear complementarity problems ⋮ Numerical Verification Methods for Solutions of the Free Boundary Problem ⋮ Weakly chained diagonally dominant \(B\)-matrices and error bounds for linear complementarity problems ⋮ Implicit solution function of P\(_{0}\) and Z matrix linear complementarity constraints ⋮ A new subclass of \(P\)-matrices ⋮ A regularized projection method for complementarity problems with non-Lipschitzian functions ⋮ Computation of error bounds for P-matrix linear complementarity problems ⋮ An iterative method for a system of linear complementarity problems with perturbations and interval data ⋮ On \(\{P_1,P_2\}\)-Nekrasov matrices ⋮ New error bounds for linear complementarity problems of \(S\)-Nekrasov matrices and \(B-S\)-Nekrasov matrices

Cites Work

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• Topological proofs for certain theorems on matrices with non-negative elements
• An alternating direction implicit algorithm for the solution of linear complementarity problems arising from free boundary problems
• On the solution of large, structured linear complementarity problems: The tridiagonal case
• Numerical validation of solutions of linear complementarity problems
• Interval Methods for Systems of Equations
• Analytic Proofs of the "Hairy Ball Theorem" and the Brouwer Fixed Point Theorem
• Engineering and Economic Applications of Complementarity Problems

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