Xiaofeng Wang
Abstract
Two classes of Newton's variants Iteration method are given.The orders of convergence of the variant methods are three at least.Numerical tests show that the variant methods have more advantages than the other known Newton's Iteration methods with third-order convergence.
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Two classes of Newton's variants Iteration method are given.The orders of convergence of the variant methods are three at least.Numerical tests show that the variant methods have more advantages than the other known Newton's Iteration methods with third-order convergence.
Key concepts: Newton's method, Convergence (economics), Mathematics, Applied mathematics, Steffensen's method, Local convergence, Order (exchange), Newton's method in optimization