1. Steffensen-Aitken methods and implicit functions.
   Argyros, Ioannis K.
   Panamer. Math. J. 11 (2001), no. 1, 91--96, MathSciNet.  
2. Aitken-Based Acceleration Methods for Assessing Convergence of Multilayer Neural Networks
   Pilla, R. S.; Kamarthi, S. V.; Lindsay, B. G.
   IEEE Transactions on Neural Networks, 2001, vol. 12, no. 5, pp. 998-1012 , Ingenta.  
3. -accelerated Broyden scheme. (Chinese)    
   Lei, Fei Yan; Xing, Zhi Dong    
   Pure Appl. Math. 17 (2001), no. 2, 165--168, MathSciNet.  
4. Prediction properties of Aitken's iterated process, of Wynn's epsilon algorithm, and of Brezinski's iterated theta algorithm.   
   Weniger, Ernst Joachim   
   Numerical analysis 2000, Vol. II: Interpolation and extrapolation. J. Comput. Appl. Math. 122 (2000), no. 1-2, 329--356, MathSciNet.  
5. Further consequences of viewing LIML as an iterated Aitken estimator.
   Gao, Chuanming; Lahiri, Kajal
   J. Econometrics 98 (2000), no. 2, 187--202, MathSciNet.  
6. On the convergence of Steffensen-Aitken-like methods using divided differences obtained recursively.
   Argyros, Ioannis K.; Catinas, Emil; Pavaloiu, Ion
   Adv. Nonlinear Var. Inequal. 3 (2000), no. 1, 7--13, MathSciNet.  
7. On the approximate solution of implicit functions using the Steffensen method.
   Argyros, Ioannis K.; Catinas, Emil; Pavaloiu, Ion
   Proyecciones 19 (2000), no. 3, 291--303, MathSciNet.  
8. A convergence theorem for Steffensen's method and the Ptak error estimates.
   Argyros, Ioannis K.
   Adv.Nonlinear Var. Inequal. 3 (2000), no. 2, 43--51, MathSciNet.  
9. An error analysis for Steffensen's method.
   Argyros, Ioannis K.
   Panamer. Math. J. 10 (2000), no. 4, 27--33, MathSciNet.  
10. Local and global convergence results for a class of Steffensen-Aitken-type methods.
    Argyros, Ioannis K.; Catinas, Emil; Pavaloiu, Ion
    Adv. Nonlinear Var. Inequal. 2 (1999), no. 2, 117--126, MathSciNet.   
11. A general Steffensen iteration method for systems of nonlinear equations.
    Noda, T.
    Mathematica japonicae [sic], 1997, vol. 46, no. 1, pp. 91, Ingenta.  
12. An error analysis for the Steffensen method under generalized Zabrejko-Ngyen-type assumptions.
    Argyros, Ioannis K.
    Rev. Anal. Numér. Théor. Approx. 25 (1996), no. 1-2, 11--22, MathSciNet.   
13. Approximation of the roots of equations by Aitken-Steffensen-type monotonic sequences.
    Pavaloiu, I.
    Calcolo 32 (1995), no. 1-2, 69--82 (1996), MathSciNet.   
14. The condition of Steffensen's acceleration in several variables.
    Nievergelt, Yves
    J. Comput. Appl. Math. 58 (1995), no. 3, 291--305, MathSciNet.   
15. Une généralisation au cas vectoriel du procédé d'Aitken et les suites à comportement linéaire. (French)
    [A generalization to the vector case of Aitken's process and sequences that behave linearly] RAIRO Modél.  
    Le Ferrand, Hervé   
    Math. Anal. Numér. 29 (1995), no. 1, 53--62, MathSciNet.   
16. Aitken Acceleration and Stationary Axially Symmetric Solution of Einstein Equation.
    Imai, Toshiyuki; Fukuyama, Takeshi
    Journal of the physical society of japan, 1995, vol. 64, no. 10, pp. 3682 , Ingenta.  
17. The Aitken-method and Steffensen's method in the critical state and a method of finding fixed points of convex functions. (Chinese)   
    Mu, Ding Yi; Dai, Zhong Yin   
    J. Shanghai Jiaotong Univ. 28 (1994), no. 5, 91--95, MathSciNet.  
18. On the monotonicity of the sequences of approximations obtained by Steffensen's method.
    Pavaloiu, Ion
    Mathematica/Societatea de Stiinte Matematice si Fizice din R.P.R., Filiala Cluj, 1993, vol. 35, no. 1, 71--76, MathSciNet.  
19. An improvement of the Steffensen's method.
    Balázs, M.; Goldner, G.
    Seminar on Mathematical Analysis(Cluj-Napoca, 1992--1993), 75--86, Preprint, 93-7, "Babes-Bolyai" Univ., Cluj-Napoca, 1993, MathSciNet.  
20. The Aitken-Steffensen formula for systems of nonlinear equations.
    Noda, Tatsuo
    V. Proc. Japan Acad. Ser. A Math. Sci. 68 (1992), no. 2, 37--40, MathSciNet.  
21. Systolic designs for Aitken's foot finding method.
    Megson, G. M.; Brudaru, O.; Comish, D.
    Parallel computing, 1992, vol. 18, no. 4, pp. 415 , Ingenta.  
22. Sur une généralisation de la méthode de Steffensen. (French) [On a generalization of Steffensen's method]
    Pavaloiu, Ion
    Rev. Anal. Numér. Théor. Approx. 21 (1992), no. 1, 59--65, MathSciNet.  
23. Aitken's and Steffensen's accelerations in several variables.   
    Nievergelt, Yves   
    Numer. Math. 59 (1991), no. 3, 295--310, MathSciNet.  
24. The double Steffensen method of solving a transcendental equation. (Chinese)
    Tong, Xiao Jiao
    J. Changsha Norm. Univ. Water Res. Electr. Power Nat. Sci. Ed. 6 (1991), no. 2, 156--159, MathSciNet.  
25. A Convergence Acceleration Method for Some Logarithmically Convergent Sequences  
    Naoki Osada  
    SIAM Journal on Numerical Analysis, Vol. 27, No. 1. (Feb., 1990), pp. 178-189, Jstor.  
26. The Aitken-Steffensen formula for systems of nonlinear equations.
    Noda, Tatsuo
    IV. Proc. Japan Acad. Ser. A Math. Sci. 66 (1990), no. 8, 260--263, MathSciNet.  
27. Numerical Methods of Mathematical Physics: Iterative Regularization of Steffensen's Method.
    Vasil'ev, F. P.
    Computational mathematics and modeling, 1990, vol. 1, no. 1, pp. 1, Ingenta.  
28. Regularization of Steffensen's Method with Inexactly Specified Initial Data.
    Vasil'ev, F.P.
    Computational mathematics and modeling, 1990, vol. 1, no. 2, pp. 162, Ingenta.   
29. Iterative regularization of the Steffensen method. (Russian)
    Vasil'ev, F. P.
    Translated in Comput. Math. Model. 1 (1990), no. 1, 1--4, MathSciNet.  
30. On a method analogous to Steffensen's method.
    Groze, Sever; Chiorean, Ioana
    Seminar on Computer Science, 17--26, Preprint, 88-9, Univ. "Babes-Bolyai", Cluj-Napoca, 1988, MathSciNet.  
31. Sur quelques procédés itératifs de type Aitken-Steffensen. (French) [Some iterative Aitken-Steffensen procedures]
    Diaconu, Adrian
    Seminar on Mathematical Analysis (Cluj-Napoca, 1987--1988), 131--150, Preprint, 88-7,Univ. "Babes-Bolyai", Cluj-Napoca, 1988, MathSciNet.  
32. Eine verbesserte Aitkentransformation zur Konvergenzbeschleunigung bei Potenzreihen. (German) [An improved Aitken transformation for the acceleration of convergence in power series]
    Riedel, Roland
    Wiss. Z. Martin-Luther-Univ. Halle-Wittenberg Math.-Natur. Reihe 37 (1988), no. 3, 132--136, MathSciNet.  
33. An analogue of the Aitken-Steffensen method with a controllable step. (Russian)
    Bel'tyukov, B. A.
    Zh. Vychisl. Mat. i Mat. Fiz. 27 (1987), no. 6, 803--817, 957, MathSciNet.  
34. Error estimates for the Steffensen method. (Chinese)
    Chen, Dong
    Numer. Math. J. Chinese Univ. 8 (1986), no. 1, 81--84, MathSciNet.  
35. Aitken-Steffensen acceleration and a new addition formula for Fibonacci numbers.
    Arai, Masaharu; Okamoto, Kazuo; Kametaka,Yoshinori  
    Proc. Japan Acad. Ser. A Math. Sci. 62 (1986), no. 1, 5--7, MathSciNet.  
36. Fibonacci and Lucas numbers and Aitken acceleration. Fibonacci numbers and their applications
    McCabe, J. H.; Phillips, G. M.
    (Patras, 1984), 181--184, Math. Appl., 28, Reidel, Dordrecht, 1986, MathSciNet.  
37. The Aitken-Steffensen method in the solution of simultaneous nonlinear equations. III.
    Noda, Tatsuo
    Proc. Japan Acad. Ser. A Math. Sci. 62 (1986), no. 5, 174--177, MathSciNet.  
38. The Aitken-Steffensen method in the solution of simultaneous nonlinear equations. II. (Japanese)
    Noda, Tatsuo
    Sugaku 38 (1986), no. 1, 83--85, MathSciNet.  
39. Aitken-Steffensen acceleration and a new addition formula for Fibonacci numbers.
    Arai, Masaharu; Okamoto, Kazuo; Kametaka, Yoshinori
    Proc. Japan Acad. Ser. A Math. Sci. 62 (1986), no. 1, 5--7, MathSciNet.  
40. Aitken Sequences and Fibonacci Numbers  
    G. M. Phillips  
    American Mathematical Monthly, Vol. 91, No. 6. (Jun. - Jul., 1984), pp. 354-357, Jstor.  
41. Convergence property of Aitken's -process and the applicable acceleration process.   
    Iguchi, Ken   
    J. Inform. Process. 7 (1984), no. 1, 22--30, MathSciNet.  
42. A note on fixed-point continued fractions and Aitken's -method.   
    Gill, John   
    Rocky Mountain J. Math. 14 (1984), no. 3, 705--711.
43. Aitken acceleration of some alternating series.
    Bell, G. E.; Phillips, G. M.
    BIT 24 (1984), no. 1, 70--77, MathSciNet.  
44. A note on fixed-point continued fractions and Aitken's -method.
    Gill, John
    RockyMountain J. Math. 14 (1984), no. 3, 705--711, MathSciNet.  
45. Convergence Acceleration by Extraction of Linear Subsequences  
    C. Brezinski, J. P. Delahaye, B. Germain-Bonne  
    SIAM Journal on Numerical Analysis, Vol. 20, No. 6. (Dec., 1983), pp. 1099-1105, Jstor.  
46. On the Acceleration of an Interval-Arithmetic Iteration Method  
    Herbert Cornelius  
    SIAM Journal on Numerical Analysis, Vol. 20, No. 5. (Oct., 1983), pp. 1010-1022, Jstor.  
47. Anderson-Bjorck for Linear Sequences  
    Richard F. King  
    Mathematics of Computation, Vol. 41, No. 164. (Oct., 1983), pp. 591-596, Jstor.  
48. Error analysis of Aitken's process.   
    Jurkat, M. Peter   
    Comput. Math. Appl. 9 (1983), no. 2, 317--322, MathSciNet.  
49. Some New Convergence Acceleration Methods  
    Claude Brezinski  
    Mathematics of Computation, Vol. 39, No. 159. (Jul., 1982), pp. 133-145, Jstor.  
50. Convergence Acceleration for Newton's Method at Singular Points  
    D. W. Decker, C. T. Kelley  
    SIAM Journal on Numerical Analysis, Vol. 19, No. 1. (Feb., 1982), pp. 219-229, Jstor.  
51. On the paper: "A note on the convergence of Steffensen's method".
    Balázs, M.
    Anal. Numér. Théor. Approx. 11 (1982), no. 1-2, 5--6, MathSciNet.   
52. A note on the convergence of Steffensen's method.
    Balázs, M.
    Anal. Numér. Théor. Approx. 10 (1981), no. 1, 5--10, MathSciNet.   
53. Optimalité du procédé d'Aitken pour l'accélération de la convergence linéaire. (French)
    [Optimality of Aitken's process for the acceleration of linear convegence]  
    Delahaye, Jean-Paul   
    RAIRO Anal. Numér. 15 (1981), no. 4, 321--330, MathSciNet.   
54. The Aitken-Steffensen method in the solution of simultaneous nonlinear equations. (Japanese)   
    Noda, Tatsuo   
    Sûgaku 33 (1981), no. 4, 369--372, MathSciNet.  
55. Extrapolation of asymptotic expansions by a modified Aitken -formula.   
    Bjørstad, Petter; Dahlquist, Germund; Grosse, Eric
    BIT 21 (1981), no. 1, 56--65, MathSciNet.  
56. A note on the generalisation of Aitken's transformation.   
    Jamieson, M. J.; O'Beirne, T. H.   
    J. Phys. B 11 (1978), no. 2, L31--L35, MathSciNet.  
57. An algorithm of an acceleration process covering the Aitken -process.   
    Iguchi, Ken   
    Information Processing in Japan 16 (1976), 89--93, MathSciNet.  
58. On the Aitken's -process.   
    Iguchi, Ken   
    Information Processing in Japan 15 (1975), 36--40, MathSciNet.  
59. Block modifications of the Aitken-Steffensen method with successive approximation of the inverse operator. (Russian)
    Volokitin, S. S.
    Differential and integral equations, No. 2 (Russian), pp. 271--280, 316. Irkutsk. Gos. Univ., Irkutsk, 1973, MathSciNet.  
60. On Aitken's -method.   
    Lackovi'c, Ivan B.   
    Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 381-409 (1972), 143--146, MathSciNet.  
61. Application of generalizations of the Aitken-Steffensen method to the problem of the minimization of functions. (Russian)
    Maergoz, M. D.
    Sibirsk. Mat. Z. 13 (1972), 133--141, MathSciNet.  
62. A perturbed analogue of the Aitken-Steffensen method for solving nonlinear operator equations. (Russian)
    Bel'tjukov, B. A.
    Sibirsk. Mat. Z. 12 (1971), 983--1000, MathSciNet.  
63. On Aitken' s Method (in Mathematical Notes)  
    Simeon Reich  
    American Mathematical Monthly, Vol. 77, No. 3. (Mar., 1970), pp. 283-284., Jstor.  
64. 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.  
65. Different generalizations of Steffensen's method in the multidimensional case. (Russian)
    Maergoz, M. D.
    Vycisl. Prikl. Mat. (Kiev) No. 8 (1969), 187--195, MathSciNet.  
66. On Steffensen's Method  
    L. W. Johnson, D. R. Scholz  
    SIAM Journal on Numerical Analysis, Vol. 5, No. 2. (Jun., 1968), pp. 296-302, Jstor.  
67. Some theorems on the convergence of the generalized Steffensen method. (Russian)
    Koppel, H.
    Tallin. Polütehn. Inst. Toimetised Seer. A No. 251 1967 45--49, MathSciNet.  
68. Aitken acceleration.
    Overholt, K. J. Extended
    Nordisk Tidskr. Informations-Behandling 5 1965 122--132, MathSciNet.  
69. Generalization of Steffensen's method for operator equations.
    Chen, Kuo-Wang
    Comment. Math. Univ. Carolinae 5 1964 47--77, MathSciNet.  
70. Solution of equations and systems of equations.
    Ostrowski, A. M.
    Pure and Applied Mathematics, Vol. IX. Academic Press, New York-London 1960 ix+202 pp, MathSciNet.  
71. Some Applications of Aitken's Method of Interpolation (in Classroom Notes)  
    L. A. Aroian  
    American Mathematical Monthly, Vol. 55, No. 9. (Nov., 1948), pp. 569-572, Jstor.  

(c) John H. Mathews 2003