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SIAMJO
2008
92views more  SIAMJO 2008»
13 years 7 months ago
An Active-Set Newton Method for Mathematical Programs with Complementarity Constraints
For a mathematical program with complementarity constraints (MPCC), we propose an active-set Newton method, which has the property of local quadratic convergence under the MPCC lin...
Alexey F. Izmailov, Mikhail V. Solodov
CPHYSICS
2010
184views more  CPHYSICS 2010»
13 years 7 months ago
Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloi
We investigate fully parallel Newton-Krylov-Schwarz (NKS) algorithms for solving the large sparse nonlinear systems of equations arising from the finite element discretization of ...
Feng-Nan Hwang, Shang-Rong Cai, Yun-Long Shao, Jon...
MP
2002
101views more  MP 2002»
13 years 7 months ago
Componentwise fast convergence in the solution of full-rank systems of nonlinear equations
The asymptotic convergence of parameterized variants of Newton's method for the solution of nonlinear systems of equations is considered. The original system is perturbed by a...
Nicholas I. M. Gould, Dominique Orban, Annick Sart...
MP
2008
129views more  MP 2008»
13 years 7 months ago
Corrector-predictor methods for monotone linear complementarity problems in a wide neighborhood of the central path
Abstract. Two corrector-predictor interior point algorithms are proposed for solving monotone linear complementarity problems. The algorithms produce a sequence of iterates in the ...
Florian A. Potra
SIAMSC
2008
140views more  SIAMSC 2008»
13 years 7 months ago
Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier--Stokes Equations
We study preconditioners for the iterative solution of the linear systems arising in the implicit time integration of the compressible Navier-Stokes equations. The spatial discreti...
Per-Olof Persson, Jaime Peraire