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Mathematics of Computation

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A quadratic formula for finding the root of an equation

Author: Ll. G. Chambers
Journal: Math. Comp. 25 (1971), 305-307
MSC: Primary 65H05
MathSciNet review: 0295559
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Abstract: An extension is made to Reguli Falsi involving a parabolic approximation. Formulae are derived which have convergence exponents 2, 2.414, 2.732, respectively.

References [Enhancements On Off] (What's this?)

  • [1] C. E. Fröberg, Introduction to Numerical Analysis, Addison-Wesley, Reading, Mass., 1965, p. 20. MR 30 #5457. MR 0175272 (30:5457)
  • [2] A. Ostrowski, Solution of Equations and Systems of Equations, Pure and Appl. Math., vol. 9, Academic Press, New York, 1960, p. 84. MR 23 #B571. MR 0127525 (23:B571)
  • [3] J. F. Traub, Iterative Methods for the Solution of Equations, Prentice-Hall Series in Automatic Computation, Prentice-Hall, Englewood Cliffs, N. J., 1964, p. 105. MR 29 #6607. MR 0169356 (29:6607)

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Keywords: Numerical analysis, approximation to the root of an equation
Article copyright: © Copyright 1971 American Mathematical Society

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