python numerical-methods newtons-method lagrange-polynomial-interpolation fixed-point-iteration secant-method steffensen-s-method Updated Nov 7, 2018 Python ...

python numerical-methods numerical-analysis newtons-method fixed-point-iteration bisection-method secant-method Updated Dec 17, 2018 Python ramesaliyev / numerica Star 23 Code Issues Pull requests ...

Learn how to find the roots of equations using fixed-point iteration and Newton's method, two common techniques in numerical analysis. Compare their convergence, error, advantages, and disadvantages.

Abstract. We study the convergence analysis of a Picard-S iterative method for a particular class of weak-contraction mappings and give a data dependence result for fixed points of these mappings.

Shiro Ishikawa, Fixed Points by a New Iteration Method, Proceedings of the American Mathematical Society, Vol. 44, No. 1 (May, 1974), pp. 147-150 ...

The fixed-point iteration algorithm is turned into a quadratically convergent scheme for a system of nonlinear equations. Most of the usual methods for obtaining the roots of a system of nonlinear ...

This fixed-point “prox method” has been popular over the last decades. However, the tuning of the iteration parameter r is difficult, because r affects the convergence of the fixed-point iteration ...

A new implementation procedure of the locally convergent fixed-point (FP) technique for solving nonlinear magnetic problems is proposed in this paper, mainly involving the weight format of calculating ...