An Algorithm for Solving Non-Linear Equations Based on the Secant Method | Zendy

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An Algorithm for Solving Non-Linear Equations Based on the Secant Method

Author(s) -

John Barnes

Publication year - 1965

Publication title -

the computer journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.319

H-Index - 64

eISSN - 1460-2067

pISSN - 0010-4620

DOI - 10.1093/comjnl/8.1.66

Subject(s) - secant method , jacobian matrix and determinant , nonlinear system , mathematics , algorithm , newton's method , computer science , quasi newton method , physics , quantum mechanics

This paper describes a variant of the generalized secant method for solving simultaneous nonlinear equations. The method is of particular value in cases where the evaluation of the residuals for imputed values of the unknowns is tedious, or a good approximation to the solution and the Jacobian at the solution are available. Experiments are described comparing the method with the Newton-Raphson process. It is shown that for suitable problems the method is considerably superior.

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