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APPROX
2006
Springer
121views Algorithms» more  APPROX 2006»
13 years 9 months ago
A Randomized Solver for Linear Systems with Exponential Convergence
Abstract. The Kaczmarz method for solving linear systems of equations Ax = b is an iterative algorithm that has found many applications ranging from computer tomography to digital ...
Thomas Strohmer, Roman Vershynin
ASIACRYPT
2004
Springer
13 years 10 months ago
The XL-Algorithm and a Conjecture from Commutative Algebra
The “XL-algorithm” is a computational method to solve overdetermined systems of polynomial equations which is based on a generalization of the well-known method of linearizatio...
Claus Diem
NA
2006
75views more  NA 2006»
13 years 5 months ago
Least-squares spectral collocation with the overlapping Schwarz method for the incompressible Navier-Stokes equations
A least-squares spectral collocation scheme is combined with the overlapping Schwarz method. The methods are succesfully applied to the incompressible Navier-Stokes equations. The...
Wilhelm Heinrichs
SIAMSC
2011
151views more  SIAMSC 2011»
13 years 8 days 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
EUROPAR
2005
Springer
13 years 11 months ago
Parallel Edge-Based Inexact Newton Solution of Steady Incompressible 3D Navier-Stokes Equations
The parallel edge-based solution of 3D incompressible Navier-Stokes equations is presented. The governing partial differential equations are discretized using the SUPG/PSPG stabili...
Renato N. Elias, Marcos A. D. Martins, Alvaro L. G...