An Implicit Multi-Step Diagonal Secant-Type Method for Solving Large-Scale Systems of Nonlinear Equations
نویسندگان
چکیده
This paper presents an improved diagonal Secant-like method using two-step approach for solving large scale systems of nonlinear equations. In this scheme, instead of using direct updating matrix in every iteration to construct the interpolation curves, we chose to use an implicit updating approach to obtain an enhanced approximation of the Jacobian matrix which only requires a vector storage. The fact that the proposed method solves systems of nonlinear equations without the cost of storing the weighted matrix can be considered as a clear advantage of this method over some variants of Newton’s methods. Mathematics Subject Classification: 65H11, 65K05
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