The Incomplete Cholesky Conjugate Gradient method is applied to solve the linear system derived from the pipe-network problem. To take full advantage of the capabilities of the method, an isolated element procedure is adopted to store only the nonzero entries of the matrix. The algorithms which facilitate the direct inclusion of an extended set of components in the system are also described. In order to maintain the symmetry of the matrix and to avoid instabilities some new procedures are proposed and tested.
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