A new iterative method for the computation of the solutions of nonlinear equations

Numerical Algorithms

Volumn 28, Issue 1-4, 2001, Pages 87-100

  Costabile, F ^a   Gualtieri, M I ^a   Luceri, R ^a  

^a UNIVERSITY OF CALABRIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035566454     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014078328575     Document Type: Article

References (11)

1. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions (National Bureau of Standards, US Gov. Printing Office, 1964).
2. G.E. Alefeld and F.A. Potra, Some efficient methods for enclosing simple zeros of nonlinear equations, BIT 32 (1992) 334-344.
3. R.P. Brent, Algorithms for Minimization Without Derivatives (Prentice-Hall, Englewood Cliffs, NJ, 1972).
4. F. Costabile, An expansion for a real function in Bernoulli polynomials and applications, Conf. Sem. Mat. Univ. Bari 273 (1999).
5. F. Costabile, M.I. Gualtieri and S. Serra, An iterative method for the computation of the solutions of nonlinear equations, Calcolo 36 (1999) 17-34.
6. P. Davis, Interpolation and Approximation (Blaisdell, New York, 1964).
7. T.J. Dekker, Finding a zero by means of successive linear interpolation, in: Constructive Aspects of the Fundamental Theorem of Algebra, eds. B. Dejon and P. Henrici (Wiley Interscience, 1969).
8. A.M. Ostrowski, Solution of Equations and Systems of Equations (Academic Press, New York, 1960).
9. A. Ralston, A First Course in Numerical Analysis (McGraw-Hill, 1965).
10. J.F. Traub, Iterative Methods for the Solution of Equations (Prentice-Hall, Englewood Cliffs, NJ, 1964).
11. R. Wait, The Numerical Solution of Algebraic Equations (Wiley, New York, 1979).