

Bibliography
for the Secant Method
Return
to Numerical Methods - Numerical Analysis
- Associativity of the Secant
Method
Northshield, S.
American Mathematical Monthly, 2002, vol. 109, no. 3, pp. 246-257,
Ingenta.
- Modified Newton and secant
methods for solving an order O(
)
finite-difference problem.
Lin, Zhenghua; Yu, Xiaolin; Sheng, Zhongping
Ann. Differential Equations 16 (2000), no. 2, 134--144, Math. Sci.
Net.
- The application of Julia set
to Newton-secants method.
Tomova, Anna
Applications of mathematics in engineering and economics (Sozopol,
1999), 94--95, Heron Press, Sofia, 2000, Math. Sci.
Net.
- A new type of recurrence
relations for the secant method.
Hernández, M. A.; Rubio, M. J.
Int. J. Comput. Math. 72 (1999), no. 4, 477--490, Math. Sci.
Net.
- Secant methods for semismooth
equations.
Potra, Florian A.; Qi, Liqun; Sun, Defeng
Numer. Math. 80 (1998), no. 2, 305--324, Math. Sci.
Net.
- A note on inexact secant
methods.
Cuatinacs, Emil
Rev. Anal. Numér. Théor. Approx. 25 (1996), no. 1-2,
33--41, Math. Sci. Net.
- An example of
the secant method of iterative approximation in a
fifteenth-century Sanskrit text
Plofker, Kim
Historia Math. 23 (1996), no. 3, 246--256, Math. Sci.
Net.
- Average-Case
Optimality of a Hybrid Secant-Bisection
Method
Erich Novak, Klaus Ritter, Henryk Wozniakowski
Mathematics of Computation, Vol. 64, No. 212. (Oct., 1995), pp.
1517-1539, Jstor
- The
Secant Method and the Golden Mean (in
Notes)
Melvin J. Maron, Robert J. Lopez
American Mathematical Monthly, Vol. 100, No. 7. (Aug. - Sep.,
1993), pp. 676-678, Jstor.
- Using the
Secant Method to Approximate the Roots of an
Equation
Peter Lochiel Glidden
School Science and Mathematics, Vol. 93, No. 1, (1993), pp.
5-8.
- On the secant method.
Argyros, Ioannis K.
Publ. Math. Debrecen 43 (1993), no. 3-4, 223--238, Math. Sci.
Net.
- Exact order of convergence of
the secant method.
Raydan, M.
J. Optim. Theory Appl. 78 (1993), no. 3, 541--551, Math. Sci.
Net.
- On
the Superlinear Convergence of the Secant
Method
Marco Vianello, Renato Zanovello
American Mathematical Monthly, Vol. 99, No. 8. (Oct., 1992), pp.
758-761, Jstor
- Improved Error Bounds for the
Modified Secant Method.
Argyros, I.K.
International journal of computer mathematics, 1992, vol. 43, no.
1/2, pp. 99, Ingenta.
- Error bounds for the secant
method.
Argyros, Ioannis K.
Math. Slovaca 41 (1991), no. 1, 69--82, Math. Sci.
Net.
- Error for the modified secant
method.
Argyros, Ioannis K.
BIT 30 (1990), no. 1, 92--100, Math. Sci.
Net.
- On superlinear convergence of
some stable variants of the secant method.
Burdakov, O. P.
Z. Angew. Math. Mech. 66 (1986), no. 12, 615--622, Math. Sci.
Net.
- An interval version of the
secant method.
Neumaier, A.
BIT 24 (1984), no. 3, 366--372, Math. Sci.
Net.
- An error analysis for the
secant method.
Potra, Florian-A.
Numer. Math. 38 (1981/82), no. 3, 427--445, Math. Sci.
Net.
- On a modified secant
method.
Potra, F.-A.
Anal. Numér. Théor. Approx. 8 (1979), no. 2,
203--214, Math. Sci. Net.
- Theory of multivariate secant
methods.
Jankowska, Janina
SIAM J. Numer. Anal. 16 (1979), no. 4, 547--562, Math. Sci.
Net.
- Three new algorithms based on
the sequential secant method.
Martínez, José Mario
BIT 19 (1979), no. 2, 236--243, Math. Sci. Net.
- A secant method for multiple
roots.
King, Richard F. Nordisk Tidskr. Informationsbehandling (BIT) 17
(1977), no. 3, 321--328, Math. Sci. Net.
- A
Stable Variant of the Secant Method for Solving Nonlinear
Equations
W. B. Gragg, G. W. Stewart
SIAM Journal on Numerical Analysis, Vol. 13, No. 6. (Dec., 1976),
pp. 889-903, Jstor.
- A Globally Converging Secant
Method with Applications to Boundary Value Problems
E. Polak
SIAM Journal on Numerical Analysis, Vol. 11, No. 3. (Jun., 1974),
pp. 529-537, Jstor
- A
Globally Converging Secant Method with Applications to Boundary
Value Problems
E. Polak
SIAM Journal on Numerical Analysis, Vol. 11, No. 3. (Jun., 1974),
pp. 529-537, Jstor.
- Some iterations for factoring
a polynomial. II. A generalization of the secant method.
Stewart, G. W.
Numer. Math. 22 (1973/74), 33--36, Math. Sci. Net.
- The
Use of the Secant Method in Econometric
Models
J. Phillip Cooper, Stanley Fischer
The Journal of Business, Vol. 46, No. 2. (Apr., 1973), pp.
274-277, Jstor.
- On the behavior of the secant
method near a multiple root.
Espelid, T. O.
Nordisk Tidskr. Informationsbehandling (BIT) 12 (1972), 112--115,
Math. Sci. Net.
- An algorithm for solving
non-linear equations based on the secant method.
Barnes, J. G. P.
Comput. J. 8 1965 66--72, Math. Sci. Net.
(c) John
H. Mathews 2003