In this paper, two new families of eighth-order iterative methods for solving nonlinear equations are presented. These methods are developed by combining a class of optimal two-point methods and a ...

Carpathian Journal of Mathematics, Vol. 31, No. 1 (2015), pp. 11-30 (20 pages) We use the method of recurrent functions to provide a new semilocal convergence analysis for secant-like methods in order ...

Picard iteration: A basic iterative method for solving differential and integral equations, wherein successive approximations are generated by a fixed-point formulation.

If the SINGLE option is not used, PROC MODEL computes values that simultaneously satisfy the model equations for the variables named in the SOLVE statement. PROC MODEL provides three iterative methods ...

where x is a vector and F is a vector-valued, possibly nonlinear, function. In order to find x such that F goes to 0, an initial estimate x0 is chosen, and Newton's iterative method for converging to ...

The MIT algorithm mimics this nonlinear phenomenon on a quantum computer, using Bose-Einstein math to connect nonlinearity and linearity. So by imagining a pseudo Bose-Einstein condensate tailor made ...

Absolute Value Equations and Iterative Methods Publication Trend The graph below shows the total number of publications each year in Absolute Value Equations and Iterative Methods.

Learn and revise how to solve quadratic equations by factorising, completing the square and using the quadratic formula with GCSE Bitesize AQA Maths.

By harnessing randomness, a new algorithm achieves a fundamentally novel — and faster — way of performing one of the most basic computations in math and computer science.