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» Newton's method for overdetermined systems of equations
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CPHYSICS
2010
184views more  CPHYSICS 2010»
13 years 5 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...
MOC
2002
77views more  MOC 2002»
13 years 5 months ago
Directional Newton methods in n variables
Directional Newton methods for functions f of n variables are shown to converge, under standard assumptions, to a solution of f(x) = 0. The rate of convergence is quadratic, for ne...
Yuri Levin, Adi Ben-Israel
ANOR
2008
53views more  ANOR 2008»
13 years 5 months ago
A globally convergent inexact Newton method with a new choice for the forcing term
In inexact Newton methods for solving nonlinear systems of equations, an approximation to the step sk of the Newton's system J(xk)s = -F(xk) is found. This means that sk must...
Márcia A. Gomes-Ruggiero, Véra Lucia...
SIAMSC
2008
140views more  SIAMSC 2008»
13 years 5 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
NA
2010
118views more  NA 2010»
13 years 4 months ago
Practical Quasi-Newton algorithms for singular nonlinear systems
Quasi-Newton methods for solving singular systems of nonlinear equations are considered in this paper. Singular roots cause a number of problems in implementation of iterative met...
Sandra Buhmiler, Natasa Krejic, Zorana Luzanin