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CORR
2008
Springer
105views Education» more  CORR 2008»
13 years 4 months ago
A Data-Parallel Algorithm to Reliably Solve Systems of Nonlinear Equations
Frédéric Goualard, Alexandre Goldszt...
MOC
2002
148views more  MOC 2002»
13 years 4 months ago
Convergence of an iterative algorithm for solving Hamilton-Jacobi type equations
Abstract. Solutions of the optimal control and H-control problems for nonlinear affine systems can be found by solving Hamilton-Jacobi equations. However, these first order nonline...
Jerry Markman, I. Norman Katz
EUROPAR
2003
Springer
13 years 9 months ago
Parallel ScaLAPACK-Style Algorithms for Solving Continuous-Time Sylvester Matrix Equations
An implementation of a parallel ScaLAPACK-style solver for the general Sylvester equation, op(A)X −Xop(B) = C, where op(A) denotes A or its transpose AT , is presented. The paral...
Robert Granat, Bo Kågström, Peter Porom...
MP
2002
101views more  MP 2002»
13 years 4 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...
SIAMSC
2011
151views more  SIAMSC 2011»
12 years 11 months ago
Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity
The classical inexact Newton algorithm is an efficient and popular technique for solving large sparse nonlinear system of equations. When the nonlinearities in the system are wellb...
Xiao-Chuan Cai, Xuefeng Li