Abstract
An iterative method of solving nonlinear simultaneous equations is formulated by applying the concept of contractors and is implemented numerically. The main part of its algorithm consists of the matrix multiplications. The method is compared with Newton's method with the LU decomposition. Two sets of nonlinear equations derived in the analyses by boundary element method are solved by both methods on a scalar processor and vector processors. It is shown that the present method converges quadratically as Newton's method. The computation times of both methods on the scalar processor and the vector processors are reported. The performances of the present method on vector processors suggest its favorable suitability for vectorial and parallel computings.
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