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

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

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 ...

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.

Many iteration schemes have been established by using Taylor series, Adomain decomposition, Homotopy pertrubation technique and other decomposition techniques [1] - [6] . We shall modify the fixed ...

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 ...

The fixed-point iteration method is widely used in electromagnetic field analysis involving hysteresis property due to its strong robustness, but it has the problem of low computational efficiency. In ...

The following result is shown. If T is a lipschitzian pseudo-contractive map of a compact convex subset E of a Hilbert space into itself and x1 is any point in E, then a certain mean value sequence ...

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 ...