A quadratic formula for finding the root of an equation
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.
- 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
C. E. Fröberg, Introduction to Numerical Analysis, Addison-Wesley, Reading, Mass., 1965, p. 20. MR 30 #5457.
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.
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.
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