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The problem of solving sparse symmetric linear algebraic systems by elimination is discussed. A brief survey of the techniques used is given. Another approach is introduced in the paper. It is more general than the band matrix approach. However, the matrix is not treated element by element as in the most general approach. The procedure for finding the ordering of rows and columns of a matrix suitable for the considered modification of elimination is given. The examples of matrices reordered by the proposed procedure are shown.
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