euler gauss-elimination newtons-method gauss-jordan simpson-rule thomas-algorithm crank-nicolson lagrange-interpolation backward-euler lu-factorisation fixed-point-iteration secant-method ...

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.

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

According to the optimization condition (KKT) and the duality theory of quadratic programming, the fixed-point iteration method is obtained for equality constrained (see [7]) and inequality ...

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 ...

Faik Gürsoy ᵃ, A Picard-S Iterative Method for Approximating Fixed Point of Weak-Contraction Mappings, Filomat, Vol. 30, No. 10 (2016), pp. 2829-2845 ...

Utilizing root-finding methods such as Bisection Method, Fixed-Point Method, Secant Method, and Newton's Method to solve for the roots of functions ...