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Your search keyword '"Jayaraman, Jayakumar"' showing total 1 results
Start Over Author "Jayaraman, Jayakumar" Journal numerical algorithms Publisher springer nature
1 results on '"Jayaraman, Jayakumar"'

1. An improvement to double-step Newton method and its multi-step version for solving system of nonlinear equations and its applications.

Author

Madhu, Kalyanasundaram, Babajee, D., and Jayaraman, Jayakumar

Subjects
NEWTON-Raphson method, NONLINEAR equations, ITERATIVE methods (Mathematics), STOCHASTIC convergence, NUMERICAL analysis
Abstract

In this work, we have improved the order of the double-step Newton method from four to five using the same number of evaluation of two functions and two first order Fréchet derivatives for each iteration. The multi-step version requires one more function evaluation for each step. The multi-step version converges with order 3 r+5, r≥1. Numerical experiments are done comparing the new methods with some existing methods. Our methods are also tested on Chandrasekhar's problem and the 2-D Bratu problem to illustrate the applications. [ABSTRACT FROM AUTHOR]

Published
2017
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