4.2 Article

On the modulus algorithm for the linear complementarity problem

Journal

OPERATIONS RESEARCH LETTERS
Volume 32, Issue 4, Pages 350-354

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.orl.2003.11.004

Keywords

linear complementarity problem; P-matrix; H-matrix; PSOR method

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Concerning three subclasses of P-matrices the modulus algorithm and the projected successive overrelaxation (PSOR) method solving the linear complementarity problem are compared to each other with respect to convergence. It is shown that the modulus algorithm is convergent for all three subclasses whereas the convergence of the PSOR method is only guaranteed for two of them. (C) 2003 Elsevier B.V. All rights reserved.

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