Comments on ``Solution of the System of Linear
Algebraic Equations by Decreasing Dimension''

Jun Zhang
Laboratory for High Performance Scientific Computing and Computer Simulation
Department of Computer Science
University of Kentucky
773 Anderson Hall
Lexington, KY 40506-0046, USA

Abstract

We show that the decreasing dimension method proposed by Wang and Jiang in ``Solution of the System of Linear Algebraic Equations by Decreasing Dimension'', Appl. Math. Comput, 109 (2000) 51--57, is a type of Schur complement domain decomposition method. The decreasing dimension method is more expensive than the standard Schur complement domain decomposition method for solving any linear systems.


Key words: Schur complement method, domain decomposition, linear system


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This paper published in Applied Mathematics and Computation, Vol. 128, No. 1, pp. 95-98 (2002).

This research work was supported in part by the U.S. National Science Foundation under grants CCR-9902022, CCR-9988165.