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secant method

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1: 3.8 Nonlinear Equations
Secant Method
2: 4.45 Methods of Computation
§4.45 Methods of Computation
Another method, when x is large, is to sum …
Other Methods
For multiprecision methods, see Smith (1989), Brent (1976). … For other methods see Miel (1981). …
3: Bibliography
  • G. E. Andrews and D. Foata (1980) Congruences for the q -secant numbers. European J. Combin. 1 (4), pp. 283–287.
  • G. E. Andrews (1996) Pfaff’s method II: Diverse applications. J. Comput. Appl. Math. 68 (1-2), pp. 15–23.
  • T. M. Apostol and H. S. Zuckerman (1951) On magic squares constructed by the uniform step method. Proc. Amer. Math. Soc. 2 (4), pp. 557–565.
  • G. B. Arfken and H. J. Weber (2005) Mathematical Methods for Physicists. 6th edition, Elsevier, Oxford.
  • V. I. Arnol d (1997) Mathematical Methods of Classical Mechanics. Graduate Texts in Mathematics, Vol. 60, Springer-Verlag, New York.
  • 4: 3.5 Quadrature
    §3.5 Quadrature
    However, as illustrated by the next example, other methods may be more efficient. … Stroud and Secrest (1966) includes computational methods and extensive tables. … Further methods are given in Clendenin (1966) and Lyness (1985). … For integrals in higher dimensions, Monte Carlo methods are another—often the only—alternative. …