Comments on "Solution of the system of linear algebraic equations by decreasing dimension"

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. In 5], Wang and Jiang proposed a decreasing dimension method to solve systems of linear algebraic equations of the form A]fXg = fBg;