Bibliography for the Regula Falsi Method

short

  1. 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.  
  2. Finding zeros of analytic functions: alpha theory for secant type methods.
    Yakoubsohn, Jean-Claude
    J. Complexity 15 (1999), no. 2, 239--281, MathSciNet.  
  3. 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.  
  4. 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.  
  5. 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.  
  6. 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.  
  7. An example for the regula-falsi method with an asymptotic cycle.
    Dietze, S.
    Computing 33 (1984), no. 1, 75--81, MathSciNet.  
  8. Exit criteria for some iterative methods.
    Herceg, Dragoslav
    Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 12 (1982), 139--149, MathSciNet.  
  9. A generalization of regula falsi.
    Potra, Florian-A.; Pták, Vlastimil
    Numer. Math. 36 (1980/81), no. 3, 333--346, MathSciNet.  
  10. Nondiscrete induction and a double step secant method.
    Potra, F.-A.; Pták, Vlastimil
    Math. Scand. 46 (1980), no. 2, 236--250, MathSciNet.  
  11. 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.  
  12. Methods without secant steps for finding a bracketed root.
    King, R. F.
    Computing 17 (1976), no. 1, 49--57, MathSciNet.  
  13. An improved Pegasus method for root finding.
    King, Richard F.
    Nordisk Tidskr. Informationsbehandling(BIT) 13 (1973), 423--427, MathSciNet.  
  14. 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.  
  15. The "Pegasus" method for computing the root of an equation.
    Dowell, M.; Jarratt, P.
    Nordisk Tidskr. Informationsbehandling (BIT) 12 (1972), 503--508, MathSciNet.  
  16. 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.  
  17. 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.  
  18. 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.  
  19. 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.  
  20. 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.  
  21. Regula Falsi and the Fibonacci Numbers (in Classroom Notes)  
    Dmitri Thoro  
    American Mathematical Monthly, Vol. 70, No. 8. (Oct., 1963), p. 869, Jstor.  
  22. Solution of certain large sets of equations on Pegasus using matrix methods.
    Wilson, L. B.
    Comput. J. 2 1959 130--133, MathSciNet.  
  23. The method of regula falsi for solving integral equations. (Spanish)
    Velasco de Pando, Manuel
    Rev. Acad. Ci. Madrid 51 1957. 139--147, MathSciNet.  
  24. 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.  
  25. Principe de Rayleigh et regula falsi de Newton. (French) Acad. Roy.
    van den Dungen, F. H.

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003