The Chebyshev–Shamanskii Method for Solving Systems of Nonlinear Equations

Author:

Kchouk Bilel,Dussault Jean-Pierre

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Reference25 articles.

1. Moré, J.J., Garbow, B.S., Hillstrom, K.E.: Testing unconstrained optimization software. ACM Trans. Math. Softw. 7(1), 17–41 (1981)

2. Rall, L.B., Tapia, R.A.: The Kantorovich theorem and error estimates for Newton’s method. Mathematics Research (1970)

3. Chebyshev, P.L.: Collected works. Number 5. Moscow–Leningrad (1951)

4. Halley, E.: A new, exact and easy method of finding roots of any equations generally, and that without any previous reduction. Philos. Trans. Roy. Soc. (1964)

5. Gutiérrez, J.M., Hernández, M.A.: An acceleration of Newton’s method: Super-Halley method. Appl. Math. Comput. 117(2–3), 223–239 (2001)

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