Chein-Shan Liu1, Essam R. El-Zahar2,3, Yung-Wei Chen4,*
CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.2, pp. 1111-1130, 2023, DOI:10.32604/cmes.2022.021655
Abstract How to accelerate the convergence speed and avoid computing the inversion of a Jacobian matrix is important in the solution of nonlinear algebraic equations (NAEs). This paper develops an approach with a splitting-linearizing technique based on the nonlinear term to reduce the effect of the nonlinear terms. We decompose the nonlinear terms in the NAEs through a splitting parameter and then linearize the NAEs around the values at the previous step to a linear system. Through the maximal orthogonal projection concept, to minimize a merit function within a selected interval of splitting parameters, the optimal parameters can be quickly determined.… More >
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