

Bibliography
for the Regula Falsi Method
short
- Contraction, Robustness, and
Numerical Path-Following Using Secant Maps
Jean-Claude Yakoubsohn
Journal of Complexity, Vol. 16, No. 1, Mar 2000, pp. 286-310,
Ideal.
- Finding zeros of analytic
functions: alpha theory for secant type methods.
Yakoubsohn, Jean-Claude
J. Complexity 15 (1999), no. 2, 239--281,
MathSciNet.
- An acceleration procedure of
regula falsi method.
Hernández, M. A.; Salanova, M. A.
Tamkang journal of mathematics, 1997, vol. 28, no. 1, 67--77,
MathSciNet.
- Modification of the Regula
Falsi method to accelerate system convergence in the prediction of
trace quantities of atmospheric pollutants.
Phillips, J.B.; Menawat, A.S.; Carden, S.R.
Journal of hazardous materials, 1995, vol. 44, no. 1, pp. 25,
Ingenta.
- Improved regula falsi method
for solving the Schrödinger equation with a piecewise
constant potential.
Friedman, M.; Rabinovitch, A.
J. Comput. Phys. 68 (1987), no. 1, 180--187,
MathSciNet.
- Was ist das Falsche an der
Regula Falsi? (German) [What is ``wrong'' with the regula
falsi?]
Maas, Christoph
Mitt. Math. Ges. Hamburg 11 (1985), no. 3, 311--317,
MathSciNet.
- An example for the
regula-falsi method with an asymptotic cycle.
Dietze, S.
Computing 33 (1984), no. 1, 75--81,
MathSciNet.
- Exit criteria for some
iterative methods.
Herceg, Dragoslav
Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 12 (1982),
139--149, MathSciNet.
- A generalization of regula
falsi.
Potra, Florian-A.; Pták, Vlastimil
Numer. Math. 36 (1980/81), no. 3, 333--346,
MathSciNet.
- Nondiscrete induction and a
double step secant method.
Potra, F.-A.; Pták, Vlastimil
Math. Scand. 46 (1980), no. 2, 236--250,
MathSciNet.
- The Rule of False applied to
the quadratic equation, in three sixteenth century
arithmetics.
Smeur, A. J. E. M.
Arch. Internat. Hist. Sci. 28 (1978), no. 102, 66--101,
MathSciNet.
- Methods without secant steps
for finding a bracketed root.
King, R. F.
Computing 17 (1976), no. 1, 49--57,
MathSciNet.
- An improved Pegasus method for
root finding.
King, Richard F.
Nordisk Tidskr. Informationsbehandling(BIT) 13 (1973), 423--427,
MathSciNet.
- A new high order method of
regula falsi type for computing a root of an equation.
Anderson, Ned; Björck, Ake
Nordisk Tidskr. Informationsbehandling (BIT) 13 (1973), 253--264,
MathSciNet.
- The "Pegasus" method for
computing the root of an equation.
Dowell, M.; Jarratt, P.
Nordisk Tidskr. Informationsbehandling (BIT) 12 (1972), 503--508,
MathSciNet.
- A modified Regula Falsi method
for computing the root of an equation.
Dowell, M.; Jarratt, P.
Nordisk Tidskr. Informationsbehandling (BIT) 11 (1971), 168--174,
MathSciNet.
- On the rapidity of convergence
of sequences of errors in the methods of Newton and of regula
falsi.
Hyzy, Andrzej
Zeszyty Nauk. Uniw. Jagiello. Prace Mat. No. 15 (1971), 67--69,
MathSciNet.
- A
Family of Functional Iterations and the Solution of Maximum
Likelihood Estimating Equations
Leon L. Wegge
Econometrica, Vol. 37, No. 1. (Jan., 1969), pp. 122-130,
Jstor.
- Interpolative
Solution of Systems of Nonlinear Equations
Stephen M. Robinson
SIAM Journal on Numerical Analysis, Vol. 3, No. 4. (Dec., 1966),
pp. 650-658, Jstor.
- La comparaison de la
rapidité de convergence des approximations successives de
la méthode de Newton avec la méthode de "regula
falsi". (French)
Gopolhk, S.
Mathematica (Cluj) 8 (31) 1966 45--49,
MathSciNet.
- Regula
Falsi and the Fibonacci Numbers (in Classroom
Notes)
Dmitri Thoro
American Mathematical Monthly, Vol. 70, No. 8. (Oct., 1963), p.
869, Jstor.
- Solution of certain large sets
of equations on Pegasus using matrix methods.
Wilson, L. B.
Comput. J. 2 1959 130--133, MathSciNet.
- The method of regula falsi for
solving integral equations. (Spanish)
Velasco de Pando, Manuel
Rev. Acad. Ci. Madrid 51 1957. 139--147,
MathSciNet.
- The method of regula falsi for
solving integral equations. (Spanish)
Velasco de Pando, Manuel
Dyna 1956 1956 no. 4, 3--4: no. 9, 2--3,
MathSciNet.
- Principe de Rayleigh et regula
falsi de Newton. (French) Acad. Roy.
van den Dungen, F. H.
(c) John
H. Mathews 2003