

Bibliography
for the Regula Falsi Method
unabridged
- Die verallgemeinerte Regula
falsi und das Matrizen-Eigenwertproblem
Budich, H.; Falk, S.
Zeitschrift fur Angewandte Mathematik und Mechanik, 2001, vol. 81,
no. SUPP/4, pp. S1007-1008, Ingenta.
- 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 object-oriented approach to
numerical methods: the Regula Falsi method for solving equations
with tight tolerances for environmental applications.
Author: Phillips, J. B.; Price, G.; Fry, S.
Journal of Hazardous Materials v. 63 no2-3 (Dec. 1 '98) p. 145-62,
FirstSearch.
- 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.
- Global convergence of the
regula falsi method for the equation. (Japanese)
Yamagishi, Yoshikazu
Theory and application of numerical calculation in science and
technology, II (Japanese) (Kyoto,1996),
Surikaisekikenkyusho Kokyuroku No. 990 (1997), 244--249,
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.
- On iteration methods without
derivatives for the simultaneous determination of polynomial
zeros. J.
Carstensen, Carsten; Petkovic, Miodrag S.
Comput. Appl. Math. 45 (1993), no. 3, 251--266,
MathSciNet.
- On the algebraic complexity of
rational iteration procedures.
Baur, Walter
Theoret. Comput. Sci. 88 (1991), no. 2, 313--324,
MathSciNet.
- 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.
- Computing area filling
contours for surfaces defined by piecewise polynomials.
Preusser, Albrecht
Comput. Aided Geom. Design 3 (1986), no. 4, 267--279 (1987),
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.
- Some remarks about the
monotone inclusion for solutions of nonlinear equations by
regula-falsi-like methods. With a loose Russian summary.
Schneider, Norbert
Apl. Mat. 28 (1983), no. 1, 21--31,
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.
- An application of the
induction method of V. Pták to the study of regula falsi.
With a loose Russian summary.
Potra, Florian-Alexandru
Apl. Mat. 26 (1981), no. 2, 111--120,
MathSciNet.
- Monotone Einschließung
durch Verfahren vom Regula-falsi-Typ unter Verwendung eines
verallgemeinerten Steigungsbegriffes. (German)
Schneider, N.
Computing 26 (1981), no. 1, 33--44,
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.
- On an iterative improvement of
the approximate solution of some ordinary differential
equations.
Zadunaisky, P. E.; Lafferriere, G.
Comput. Math. Appl. 6 (1980), no. 1, Special Issue, 147--154,
MathSciNet.
- Monotone
Regula-falsi-ähnliche Verfahren bei nichtkonvexen
Operatorgleichungen. (German)
Alefeld, Götz
Beiträge Numer. Math. 8 (1980), 15--30,
MathSciNet.
- The Pegasus methods for the
solution of nonlinear equations. (Hungarian)
Kalmár, János
Alkalmaz. Mat. Lapok 5 (1979), no. 3-4, 277--288 (1980),
MathSciNet.
- Convergence of a class of
iterative methods of regula falsi type. (Russian)
Safiev, R. A.; Babaeva, A. È.
Izv. Akad. Nauk Azerbadzhan. SSR Ser. Fiz.-Tekhn. Mat. Nauk 1979,
no. 6, 52--58, 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.
- Untere Fehlerschranken
für Regula-Falsi-Verfahren. (German)
Schmidt, J. W.
Period. Math. Hungar. 9 (1978), no. 3, 241--247,
MathSciNet.
- A secant method for multiple
roots. Nordisk Tidskr.
King, Richard F.
Informationsbehandling (BIT) 17 (1977), no. 3, 321--328,
MathSciNet.
- A generalized secant method
and the regula falsi method in the solution of nonlinear
functional equations of potential type. (Russian)
Simeonov, S. V.
C. R. Acad. Bulgare Sci. 30 (1977), no. 7, 959--962,
MathSciNet.
- Methods without secant steps
for finding a bracketed root.
King, R. F.
Computing 17 (1976), no. 1, 49--57,
MathSciNet.
- Simplicial methods for the
solution of systems of nonlinear equations.
Bittner, Leonhard
Z. Angew. Math. Mech. 56 (1976), no. 2, 65--73,
MathSciNet.
- Regula-falsi-Verfahren mit
konsistenter Steigung und Majorantenprinzip. (German)
Schmidt, J. W.
Period. Math. Hungar. 5 (1974), 187--193,
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.
- Untersuchung einer
nichtlinearen regula falsi.
Dittmann, Gerd
Wiss. Z. Hochsch. Verkehrswesen "Friedrich List" Dresden 20
(1973), no. 4, 733--739, MathSciNet.
- Überlinear konvergente
Mehrschrittverfahren vom Regula falsi- und Newton-Typ.
(German)
Schmidt, J. W.
Z. Angew. Math. Mech. 53 (1973), no. 2, 103--114,
MathSciNet.
- The "Pegasus" method for
computing the root of an equation.
Dowell, M.; Jarratt, P.
Nordisk Tidskr. Informationsbehandling (BIT) 12 (1972), 503--508,
MathSciNet.
- Konvergenzsätze für
Regula-falsi-Verfahren. (German)
Hofmann, Wolf
Arch. Rational Mech. Anal. 44 (1971/72), 296--309,
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.
- Die Regula falsi in
Banach-Räumen. (German)
Hofmann, W.
Computing (Arch. Elektron. Rechnen) 7 (1971), 106--112,
MathSciNet.
- Monotoniesätze für
Regula-falsi- und Newton-Verfahren. (German)
Hofmann, W.
Computing (Arch. Elektron. Rechnen) 8 (1971), 143--156,
MathSciNet.
- The numerical treatment of a
single nonlinear equation.
Householder, A. S.
International Series in Pure and Applied Mathematics. McGraw-Hill
Book Co., New York-Düsseldorf-London, 1970. viii+216 pp,
MathSciNet.
- Eingrenzung von Lösungen
mit Hilfe der Regula falsi. (German)
Schmidt, J. W.; Leonhardt, H.
Computing (Arch. Elektron. Rechnen) 6 1970 318--329,
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.
- Die Regula falsi für
Systeme konvexer Gleichungen. (German)
Rieger, G. J.
Math. Nachr. 40 1969 145--164, MathSciNet.
- Eine Verallgemeinerung der
Regula Falsi auf Operatorgleichungen. (German)
Homuth, H.-H.
Z. Angew. Math. Mech. 47 1967 T51--T52,
MathSciNet.
- 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.
- Generalization of Steffensen's
method for operator equations.
Chen, Kuo-Wang
Comment. Math. Univ. Carolinae 5 1964 47--77,
MathSciNet.
- Eine Übertragung der
Regula Falsi auf Gleichungen in Banachräumen. II.
Nichtlineare Gleichungssysteme. (German)
Schmidt, Jochen W.
Z. Angew. Math. Mech. 43 1963 97--110,
MathSciNet.
- Regula
Falsi and the Fibonacci Numbers (in Classroom
Notes)
Dmitri Thoro
American Mathematical Monthly, Vol. 70, No. 8. (Oct., 1963), p.
869, Jstor.
- Eine Übertragung der
Regula Falsi auf Gleichungen in Banachräumen. I. (German)
Schmidt, Jochen W.
Z. Angew. Math. Mech. 43 1963 1--8,
MathSciNet.
- Eine Verallgemeinerung des
Sekantenverfahrens (regula falsi) zur näherungsweisen
Berechnung der Nullstellen eines nichtlinearen Gleichungssystems.
(German)
Bittner, Leonhard
Wiss. Z. Techn. Hochsch. Dresden 9 1959/1960 325--329,
MathSciNet.
- 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.
Belgique. Bull. Cl. Sci. (5) 38, (1952). 695--704,
MathSciNet.
- Über eine
Verallgemeinerung des Verfahrens der Kombination von Newton'scher
Methode und Regula falsi zur Auflösung einer Gleichung
f(x)=0. (German)
Pflanz, Erwin
Z. Angew. Math. Mech. 28, (1948). 114--122,
MathSciNet.
- Über eine praktische
Anwendung der Regula Falsi. (German)
Leemann, W.
Schweiz. Z. Vermessgswes. Kulturtech. 41, (1943). 276--278,
MathSciNet.
(c) John
H. Mathews 2003