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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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A quadratic formula for finding the root of an equation
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by Ll. G. Chambers PDF
Math. Comp. 25 (1971), 305-307 Request permission

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
  • Carl-Erik Fröberg, Introduction to numerical analysis, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1965. MR 0175272
  • A. M. Ostrowski, Solution of equations and systems of equations, Pure and Applied Mathematics, Vol. IX, Academic Press, New York-London, 1960. MR 0127525
  • J. F. Traub, Iterative methods for the solution of equations, Prentice-Hall Series in Automatic Computation, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0169356
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Math. Comp. 25 (1971), 305-307
  • MSC: Primary 65H05
  • DOI: https://doi.org/10.1090/S0025-5718-1971-0295559-1
  • MathSciNet review: 0295559