1. Associativity of the Secant Method
   Northshield, S.
   American Mathematical Monthly, 2002, vol. 109, no. 3, pp. 246-257, Ingenta.
2. A modification of the Kantorovich conditions for the secant method.
   Hernández, M. A.;  Rubio, M. J.
   Southwest J. Pure Appl. Math. 2001, no. 1, 13--21 (electronic), Math. Sci. Net.  
3. The Secant method and divided differences Holder continuous
   Hernandez, M. A.; Rubio, M. J.
   Applied Mathematics and Computation, 2001, vol. 124, no. ER2, pp. 139-149, Ingenta.
4. Convergence properties of improved secant methods with trust region multiplier.
   Zhu, Detong
   Appl. Math. J. Chinese Univ. Ser. B 15 (2000), no. 2, 225--238, Math. Sci. Net.  
5. 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.
6. 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.
7. 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.   
8. A convergence criterion for secant method with approximate zeros.
   Kim, S.
   Korean J. Comput. Appl. Math. 6 (1999), no. 3, 575--588, Math. Sci. Net.  
9. Global convergence of secant methods with nonmonotone line search technique for constrained optimization.
   Zhu, Detong
   Math. Appl. 12 (1999), no. 2, 65--71, Math. Sci. Net.
10. Newton-secant method for complex nonlinear equations with nondifferentiable terms.
    Ishihara, Kazuo; Aizawa, Naruhiko
    Math. Japon. 49 (1999), no. 1, 123--137, Math. Sci. Net.   
11. Secant methods for semismooth equations.
    Potra, Florian A.; Qi, Liqun; Sun, Defeng
    Numer. Math. 80 (1998), no. 2, 305--324, Math. Sci. Net.   
12. Necessary conditions of the isolated zero-points with nonzero degree and choice of initial approximations for the secantmethod in the n-dimensional case.
    Mayergoiz, M.
    Numer. Funct. Anal. Optim. 19 (1998), no. 9-10, 1079--1128, Math. Sci. Net.  
13. On nonlinear SOR-like methods, IV - SOR-secant method for nondifferentiable problems.
    Ishihara, K.; Yamamoto, T.
    Mathematica japonicae [sic], 1997, vol. 46, no. 1, pp. 103, Ingenta.
14. Application of the secant method to prediction of flow curves in multi-microstructure steels.
    Rudiono; Tomota, Y.
    Acta materialia, 1997, vol. 45, no. 5, pp. 1923, Ingenta.
15. A note on inexact secant methods.
    Cuatinacs, Emil
    Rev. Anal. Numér. Théor. Approx. 25 (1996), no. 1-2, 33--41, Math. Sci. Net.  
16. 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.  
17. An innovation approach to optimize a Kalman filter with an indefinite number error bound by secant method.
    Wu, Bing-Fei; Hsu, Hung-Hseng
    International journal of systems science, 1996, vol. 27, no. 7, pp. 651, Ingenta.
18. The efficiency of an interval secant method. (Chinese)
    Sun, Fang Yu
    J. Hangzhou Univ. Natur. Sci. Ed. 23 (1996), no. 4, 293--296, Math. Sci. Net.  
19. 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  
20. An error analysis for the secant method under generalized Zabrejko-Nguen-type assumptions.
    Argyros, Ioannis K.
    Arabian J. Sci. Engrg. 20 (1995), no. 1, 197--206, Math. Sci. Net.  
21. On the secant method and the Ptak error estimates.
    Argyros, Ioannis K.
    Rev. Anal. Numér. Théor. Approx. 24 (1995), no. 1-2, 3--14, Math. Sci. Net.
22. A convergent secant method for constrained optimization.
    Zhang, Jian Zhong; Zhu, De Tong
    Japan J. Indust. Appl. Math. 11 (1994), no. 2, 265--288. Math, Sci. Net.   
23. SOR-secant methods.
    Martínez, José Mario
    SIAM J. Numer. Anal. 31 (1994), no. 1, 217--226, Math. Sci. Net.  
24. An improved secant method and its global convergence. (Chinese)
    Wu, Xin Yuan
    Nanjing Daxue Xuebao Ziran Kexue Ban 30 (1994), no. 4, 583--588, Math. Sci. Net.
25. Modified multivariate secant method.
    Podisuk, Maitree
    Univ. Iagel. Acta Math. No. 31 (1994), 265--271, Math. Sci. Net.
26. 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.  
27. 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.  
28. A new secant method for nonlinear least squares problems.
    Sheng, Song-bai; Zou, Zhi-hong
    Numer. Math. J. Chinese Univ. (English Ser.) 2 (1993), no. 2, 125--137, Math. Sci. Net.
29. On the secant method.
    Argyros, Ioannis K.
    Publ. Math. Debrecen 43 (1993), no. 3-4, 223--238, Math. Sci. Net.  
30. Exact order of convergence of the secant method.
    Raydan, M.
    J. Optim. Theory Appl. 78 (1993), no. 3, 541--551, Math. Sci. Net.  
31. Sizing and least-change secant methods.
    Dennis, J. E., Jr.;  Wolkowicz, H.
    SIAM J. Numer. Anal. 30 (1993), no. 5, 1291--1314, Math. Sci. Net.  
32. 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  
33. Convergence of a class of improved secant methods for nonlinear constrained optimization. (Chinese)
    Zhu, De Tong
    Gaoxiao Yingyong Shuxue Xuebao 7 (1992), no. 4, 531--543, Math. Sci. Net.  
34. 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.
35. Error bounds for the secant method.
    Argyros, Ioannis K.
    Math. Slovaca 41 (1991), no. 1, 69--82, Math. Sci. Net.  
36. On stable convergence of secant methods with projected updates.
    Felgenhauer, U.
    Zh. Vychisl. Mat. i Mat. Fiz. 31 (1991), no. 5, 654--662; translation in Comput. Math. Math. Phys. 31 (1991), no. 5, 8--15 (1992), Math. Sci. Net.  
37. Error for the modified secant method.
    Argyros, Ioannis K.
    BIT 30 (1990), no. 1, 92--100, Math. Sci. Net.  
38. Local convergence of the multi-secant method for the parallel solution of systems of nonlinear equations.
    Coleman, Thomas F.; Li, Guang Ye
    Appl. Math. Lett. 1 (1988), no. 2, 141--145, Math. Sci. Net.  
39. On the order of convergence of the two-step secant method. (Chinese)
    Zhou, Shu Zi
    Hunan Daxue Xuebao 14 (1987), no. 4, 99--103, Math. Sci. Net.  
40. The use of the secant method to solve singular problems. (Chinese)
    Pan, Zhuang Yuan
    Numer. Math. J. Chinese Univ. 9 (1987), no. 2, 104--109, Math. Sci. Net.  
41. 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.  
42. Convergence of a process based on the modified secant method. (Italian)
    Gasparo, M. G.
    Calcolo 21 (1984), no. 1, 75--89, Math. Sci. Net.  
43. An interval version of the secant method.
    Neumaier, A.
    BIT 24 (1984), no. 3, 366--372, Math. Sci. Net.  
44. Some remarks on the secant method. (Chinese)
    Lin, You Min
    Lanzhou Daxue Xuebao 19 (1983), no. 4, 32--36, Math. Sci. Net.  
45. An error analysis for the secant method.
    Potra, Florian-A.
    Numer. Math. 38 (1981/82), no. 3, 427--445, Math. Sci. Net.
46. A formula for completion of the iteration process of the secant method for a nonlinear equation. (Russian)
    Tarasova, L. G.
    Methods of applied programming, pp. 70--75, 102--103, Akad. Nauk Ukrain. SSR, Inst. Kibernet., Kiev, 1981, Math. Sci. Net.   
47. A parallel secant method for solving transcendental equations. (Chinese)
    Chen, Wei Xiong
    Math. Numer. Sinica 3 (1981), no. 2, 165--168, Math. Sci. Net.
48. Combination of the sequential secant method and Broyden's method with projected updates.
    Martínez, J. M.; Lopes, T. L.
    Computing 25 (1980), no. 4, 379--386, Math. Sci. Net.
49. On a modified secant method.
    Potra, F.-A.
    Anal. Numér. Théor. Approx. 8 (1979), no. 2, 203--214, Math. Sci. Net.
50. Theory of multivariate secant methods.
    Jankowska, Janina
    SIAM J. Numer. Anal. 16 (1979), no. 4, 547--562, Math. Sci. Net.
51. Three new algorithms based on the sequential secant method.
    Martínez, José Mario
    BIT 19 (1979), no. 2, 236--243, Math. Sci. Net.
52. A secant method for multiple roots.
    King, Richard F. Nordisk Tidskr. Informationsbehandling (BIT) 17 (1977), no. 3, 321--328, Math. Sci. Net.
53. 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.  
54. Multivariate secant method. Mathematical models and numerical methods
    Jankowska, Janina
    (Papers, Fifth Semester, Stefan Banach Internat. Math. Center, Warsaw, 1975), pp. 233--236, Banach Center Publ., 3, PWN, Warsaw, 1978, Math. Sci. Net.
55. A note on the secant method.
    Woodhouse, D.
    Nordisk Tidskr. Informationsbehandling (BIT) 15 (1975), no. 3, 323--327, Math. Sci. Net.
56. 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  
57. 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.  
58. 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.
59. 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.  
60. 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.
61. 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