On the abstract theory of additive and multiplicative Schwarz algorithms
Numerische Mathematik
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
On the Convergence of the Multisplitting Methods for the Linear Complementarity Problem
SIAM Journal on Matrix Analysis and Applications
A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
SIAM Journal on Scientific Computing
An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms
SIAM Journal on Numerical Analysis
Convergence Theory of Restricted Multiplicative Schwarz Methods
SIAM Journal on Numerical Analysis
Curvature Based Image Registration
Journal of Mathematical Imaging and Vision
SIAM Journal on Numerical Analysis
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In this paper, a restricted additive Schwarz method is introduced for solving the linear complementarity problem that involves an H +-matrix. We show that the sequence generated by the restricted additive Schwarz method converges to the unique solution of the problem without any restriction on the initial point. Moreover, the comparison theorem is given between different versions of the restricted additive Schwarz method by using the weighted max-norm. We also show that the restricted additive Schwarz method is much better than the corresponding additive Schwarz variants in terms of the iteration number and the execution time.