A Non-Recursive Incomplete Cholesky Decomposition Method for the Solution of Linear Equations with a Sparse Matrix.

Abstract : The incomplete Cholesky decompositionand the subsequent iterative solution by the conjugate gradient methodhas been described recently by D. Kershaw. The drawback of a triangular decompositionon a vector machine is the need for recursivecomputations. This paper proposes a method which eliminates the need for recursivecomputations. They are replaced by a number of non- recursiveoperations. This method can be utilized in the solution of potential equations in late time electrostatic codes. (Author)