Mathematical Programming: Series A and B
SIAM Journal on Control and Optimization
On the convergence of iterative methods for symmetric linear complementarity problems
Mathematical Programming: Series A and B
A multisplitting method for symmetric linear complementarity problems
Journal of Computational and Applied Mathematics
On Monotone and Geometric Convergence of Schwarz Methods for Two-Sided Obstacle Problems
SIAM Journal on Numerical Analysis
On the Convergence of the Multisplitting Methods for the Linear Complementarity Problem
SIAM Journal on Matrix Analysis and Applications
Curvature Based Image Registration
Journal of Mathematical Imaging and Vision
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The convergence of the multiplicative multisplitting-type method for solving the linear complementarity problem with an H-matrix is discussed using classical and new results from the theory of splitting. This directly results in a sufficient condition for guaranteeing the convergence of the multiplicative multisplitting method. Moreover, the multiplicative multisplitting method is applied to the H-compatible splitting and the multiplicative Schwarz method, separately. Finally, we establish the monotone convergence of the multiplicative multisplitting method under appropriate conditions.