PAPERS

1. Partial radiative width distribution of Pt195+n (in collaboration).
   in Proc. Intern. Conf. on the Study of Nuclear Structure with Neutrons, N. de Mévergnies ed., North-Holland, 1966.

2. Remarques sur le procédé $\Delta^2$ d'Aitken (with M. Crouzeix).
   C. R. Acad. Sci. Paris, 270 A (1970) 896-898.

3. Application du $\varrho$-algorithme à la quadrature numérique.
   C. R. Acad. Sci. Paris, 270 A (1970) 1252-1253.

4. Résultats sur les procédés de sommation and sur l'$\varepsilon$ algorithme.
   RIRO, R3 (1970) 147-153.

5. Application de l'$\varepsilon$ algorithme à la résolution des systèmes non linéaires.
   C. R. Acad. Sci. Paris, 271 A (1970) 1174-1177.

6. Sur un algorithme de résolution des systèmes non linéaires.
   C. R. Acad. Sci. Paris, 272 A (1971) 145-148.

7. Études sur les $\varepsilon$ and $\varrho$-algorithmes.
   Numer. Math., 17 (1971) 153-162.

8. Convergence d'une forme confluente de l'$\varepsilon$ algorithme.
   C. R. Acad. Sci. Paris, 273 A (1971) 582-585.

9. Comparaison de suites convergentes.
   RIRO, R2 (1971) 95-99.

10. Accélération de suites à convergence logarithmique.
    C. R. Acad. Sci. Paris, 273 A (1971) 727-730.

11. Transformation rationnelle d'une fonction.
    C. R. Acad. Sci. Paris, 273 A (1971) 772-774.

12. Conditions d'application et de convergence de procédés d'extrapolation.
    Numer. Math., 20 (1972) 64-79.

13. Théorèmes de convergence pour l'$\varepsilon$-algorithme.
    C. R. Acad. Sci. Paris, 274 A (1972) 94-96.

14. Généralisation des extrapolations polynomiales et rationnelles.
    RAIRO, R1 (1972) 61-66.

15. Etude de la convergence de l'$\varepsilon$ algorithme.
    C. R. Acad. Sci. Paris, 274 A (1972) 1120-1123.

16. L'$\varepsilon$ algorithme et les suites totalement monotones et oscillantes.
    C. R. Acad. Sci. Paris, 276 A (1973) 305-308.

17. Accélération de la convergence de suites dans un espace de Banach.
    C. R. Acad. Sci. Paris, 278 A (1974) 351-354.

18. Some results in the theory of the vector $\varepsilon$-algorithm.
    Linear Alg. Appl., 8 (1974) 77-86.

19. Intégration des systèmes différentiels à l'aide du $\varrho$-algorithme.
    C. R. Acad. Sci. Paris, 278 A (1974) 875-878.

20. Some results and applications about the vector $\varepsilon$-algorithm.
    Rocky Mt. J. Math., 4 (1974) 335-338.

21. The solution of systems of equations using the vector $\varepsilon$-algorithm, and an application to boundary value problems (with A. C. Rieu).
    Math. Comput., 28 (1974) 731-741.

22. Review of methods to accelerate the convergence of sequences.
    Rend. Mat. Roma., 7 (1974) 303-316.

23. Forme confluente de l'$\varepsilon$-algorithme topologique.
    Numer. Math., 23 (1975) 363-370.

24. Génération de suites totalement monotones and oscillantes.
    C. R. Acad. Sci. Paris, 280 A (1975) 729-731.

25. Computation of the eigenelements of a matrix by the $\varepsilon$-algorithm.
    Linear Alg. Appl., 11 (1975) 7-20.

26. Numerical stability of a quadratic method for solving systems of nonlinear equations.
    Computing, 14 (1975) 205-211.

27. A bibliography on Padé approximation and some related matters.
    in Padé Approximants Method and its Applications to Mechanics, H. Cabannes ed., Lecture Notes in Physics, vol. 47, Springer-Verlag, Heidelberg, 1976, pp. 245-267.

28. Généralisations de la transformation de Shanks, de la table de Padé and de l'$\varepsilon$-algorithme.
    Calcolo, 12 (1975) 317-360.

29. Computation of Padé approximants and continued fractions.
    J. Comput. Appl. Math., 2 (1976) 113-123.

30. Sur les polynômes associés à une famille de polynômes orthogonaux.
    C. R. Acad. Sci. Paris, 284 A (1977) 1041-1044.

31. Padé approximants and orthogonal polynomials.
    in Padé and Rational Approximation, E. B. Saff and R. S. Varga eds., Academic Press, New York, 1977, pp. 3-14.

32. Convergence acceleration of some sequences by the $\varepsilon$-algorithm.
    Numer. Math., 29 (1978) 173-177.

33. Survey of convergence acceleration methods in numerical analysis.
    The Math. Student, 46 (1978) 28-41.

34. Rational approximation to formal power series.
    J. Approx. Theory, 25 (1979) 295-317.

35. Sur le calcul de certains rapports de déterminants.
    in Padé Approximation and its Applications, L. Wuytack ed., Lecture Notes in Mathematics, vol. 765, Springer-Verlag, Heidelberg, 1979, pp.184-210.

36. Recent references on sequences and series transformations.
    in Padé Approximation and its Applications, L. Wuytack ed., Lecture Notes in Mathematics, vol. 765, Springer-Verlag, Heidelberg, 1979, pp.366-374.

37. Padé-type approximants for double power series.
    J. Indian Math. Soc., 42 (1978) 267-282.

38. Limiting relationships and comparison theorems for sequences.
    Rend. Circ. Mat. Palermo, (2) 28 (1979) 273-280.

39. A general extrapolation algorithm.
    Numer. Math., 35 (1980) 175-187.

40. The Mühlbach-Neville-Aitken algorithm and some extensions.
    BIT, 20 (1980) 444-451.

41. The long history of continued fractions and Padé approximants.
    in Padé Approximation and its Applications. Amsterdam 1980, M. G. de Bruin and H. van Rossum eds., Lecture Notes in Mathematics, vol. 888, Springer-Verlag, Heidelberg, 1981, pp. 1-27.

42. Some new convergence acceleration methods.
    Math. Comput., 39 (1982) 133-145.

43. Algorithm 585: A subroutine for the general interpolation and extrapolation problems.
    ACM Trans. on Math. Soft., 8 (1982) 290-301.

44. Padé approximants: old and new.
    Jahrbuch Überblicke Math., (1983) 37-63.

45. Outlines of Padé approximation.
    in Computational Aspects of Complex Analysis, H. Werner and al. eds., Reidel, Dordrecht, 1983, pp. 1-50.

46. Error control in convergence acceleration processes.
    IMA J. Numer. Anal., 3 (1983) 65-80.

47. On the successive remainders of the exponential series.
    Elemente der Math., 38 (1983) 86-89.

48. Recursive interpolation, extrapolation and projection.
    J. Comput. Appl. Math., 9 (1983) 369-376.

49. Convergence acceleration by extraction of linear subsequences (with J. P. Delahaye and B. Germain-Bonne).
    SIAM J. Numer. Anal., 20 (1983) 1099-1105.

50. Documents sur la vie and l'oeuvre de Henri Padé.
    dans H. Padé. Oeuvres, C. Brezinski ed., Librairie Scientifique and Technique A. Blanchard, Paris, 1984, pp. 7-52.

51. Some determinantal identities in a vector space, with applications.
    in Padé Approximation and its Applications. Bad-Honnef 1983, H. Werner and H. J. Bünger eds., Lecture Notes in Mathematics, vol. 1071, Springer-Verlag, Heidelberg, 1984, pp. 1-11.

52. Padé-type approximants and linear functional transformations (with J. van Iseghem).
    in Rational Approximation and Interpolation, P. R. Graves-Morris and al. eds., Lecture Notes in Mathematics, vol. 1105, Springer-Verlag, Heidelberg, 1984, pp. 100-108.

53. Convergence acceleration methods: the past decade.
    J. Comput. Appl. Math., 12-13 (1985) 19-36.

54. Composite sequence transformations.
    Numer. Math., 46 (1985) 311-321.

55. Vitesse de convergence d'une suite.
    Rev. Roumaine Math. Pures Appl., 30 (1985) 403-417.

56. The birth and early developments of Padé approximants.
    in Differential Geometry, Calculus of Variations, and their Applications, G. M. and T. M. Rassias eds., Marcel Dekker, New York, 1985, pp. 105-121.

57. Prediction properties of some extrapolation methods.
    Appl. Numer. Math., 1 (1985) 457-462.

58. How to accelerate continued fractions.
    dans Informatique and Calcul, P. Chenin and al. eds., Masson, Paris, 1986, pp.35-39.

59. Edmond Nicolas Laguerre.
    dans Polynômes Orthogonaux and Applications, C. Brezinski et al. eds., Lecture Notes in Mathematics, vol. 1171, Springer-Verlag, Heidelberg, 1985, pp. XXI-XXVI.

60. Acceleration of extended Fibonacci sequences (with A. Lembarki).
    Appl. Numer. Math., 2 (1986) 1-8.

61. On interpolatory multivariate Padé-type approximants.
    BIT, 26 (1986) 254-258.

62. Diugie dzieje ulamkow lancuchowych i przybligen Padégo.
    Wiadom. Mat., seria 2, 27 (1986) 15-45, (en Polonais).

63. Vector sequence transformations and fixed point methods (with H. Sadok).
    in Numerical Methods in Laminar and Turbulent Flows, C. Taylor and al. eds., Pineridge Press, Swansea, 1987, pp. 3-11.

64. Successive modifications of limit periodic continued fractions.
    J. Comput. Appl. Math., 19 (1987) 67-74.

65. The linear convergence of limit periodic continued fractions (with A. Lembarki).
    J. Comput. Appl. Math., 19 (1987) 75-77.

66. A new approach to convergence acceleration methods.
    in Nonlinear Numerical Methods and Rational Approximation, A. Cuyt ed., Reidel, Dordrecht, 1988, pp.373-405.

67. On the asymptotic behaviour of continued fractions.
    Appl. Numer. Math., 4 (1988) 231-239.

68. Error estimate in Padé approximation.
    in Orthogonal Polynomials and their Applications, M. Alfaro and al. eds., Lecture Notes in Mathematics, vol. 1329, Springer-Verlag, Heidelberg, 1988, pp. 1-19.

69. Partial Padé approximation.
    J. Approx. Theory, 54 (1988) 210-233.

70. Quasi-linear extrapolation processes.
    in Numerical Mathematics. Singapore 1988, R.P. Agarwal and al. eds.,ISNM vol. 86, Birkhäuser Verlag, Basel, 1988, pp. 61-78.

71. Bref historique des approximants de Padé.
    dans L'A-peu-près, Aspects Anciens and Modernes de l'Approximation, Hist. Sci. Tech., vol. 3, Editions de l'Ecole des Hautes Etudes en Sciences Sociales, Paris, 1988, pp. 105-108.

72. Other manifestations of the Schur complement.
    Linear Alg. Appl., 111 (1988) 231-247.

73. Contraction properties of sequence transformations.
    Numer. Math., 54 (1989) 565-574.

74. Méthodes numériques de base.
    in Encyclopédie des Techniques de l'Ingénieur, Paris, 1989, pp. A1220 1-24, A 1121 1-6.

75. Procedures for estimating the error in Padé approximation.
    Math. Comput., 53 (1989) 639-648.

76. Orthogonal and Stieltjes polynomials with respect to an even functional.
    Rend. Sem. Mat. Univers. Politecn. Torino, 45 (1987) 75-82.

77. A survey of iterative extrapolation by the E-algorithm.
    Det Kong. Norske Vid. Selsk. Skr., 2 (1989) 1-26.

78. Duality in Padé-type approximation.
    J. Comput. Appl. Math., 30 (1990) 351-357.

79. Algebraic properties of the E-transformation.
    in Numerical Analysis and Mathematical Modelling, Banach Center Publications, vol. 24, PWN, Warsaw, 1990, pp.85-90.

80. Bordering methods and progressive forms for sequence transformations.
    Zastos. Mat., 20 (1990) 435-443.

81. A direct proof of the Christoffel-Darboux identity and its equivalence to the recurrence relationship.
    J. Comput. Appl. Math., 32 (1990) 17-25.

82. Hermite, père de l'analyse mathématique moderne.
    Cahiers d'Histoire and de Philosophie des Sciences, 32 (1990) 1-81.

83. Implementing the jackknife.
    Appl. Math. Comput., 42 (1991) 111-119.

84. Sequences of transformations and triangular recursion schemes, with applications in numerical analysis (with G. Walz).
    J. Comput. Appl. Math., 34 (1991) 361-383.

85. Avoiding breakdown in the CGS algorithm (with H. Sadok).
    Numer. Algorithms, 1 (1991) 199-206.

86. A new presentation of orthogonal polynomials with applications to their computation (with M. Redivo Zaglia).
    Numer. Algorithms, 1 (1991) 207-221.

87. The asymptotic behavior of sequences and new series transformations based on the Cauchy product.
    Rocky Mountain J. Math., 21 (1991) 71-84.

88. Avoiding breakdown and near-breakdown in Lanczos type algorithms (with M. Redivo Zaglia and H. Sadok).
    Numer. Algorithms, 1 (1991) 261-284.

89. Construction of extrapolation processes (with M. Redivo Zaglia).
    Appl. Numer. Math., 8 (1991) 11-23.

90. Generalizations of the Christoffel-Darboux identity for adjacent families of orthogonal polynomials.
    Appl. Numer. Math., 8 (1991) 193-199.

91. Approximants de Padé.
    dans Analyse Numérique, J. Baranger and al., Hermann, Paris, 1991, pp.416-458.

92. Optimal linear contractive sequence transformations (with S. Paszkowski).
    J. Comput. Appl. Math., 38 (1991) 45-59.

93. Henri Padé's another birthday (with I.V. Andrianov).
    Privoda, 5 (1991) 126-128, (en Russe).

94. A block bordering method for the treatment of breakdown in the biconjugate gradient algorithm (with M. Redivo Zaglia and H. Sadok).
    in Iterative Methods in Linear Algebra, R. Beauwens and P. de Groen eds., North-Holland, Amsterdam, 1992, pp.445-447.

95. Addendum to ``Avoiding breakdown and near-breakdown in Lanczos type algorithms''(with M. Redivo Zaglia and H. Sadok).
    Numer. Algorithms, 2 (1992) 133-136.

96. A breakdown-free Lanczos type algorithm for solving linear systems (with M. Redivo Zaglia and H. Sadok).
    Numer. Math., 63 (1992) 29-38.

97. Some vector sequence transformations with applications to systems of equations (with H. Sadok).
    Numer. Algorithms, 3 (1992) 75-80.

98. Lanczos type algorithms for solving systems of linear equations (with H. Sadok).
    Appl. Numer. Math., 11 (1993) 443-473.

99. Least-squares orthogonal polynomials (with A.C. Matos).
    J. Comput. Appl. Math., 46 (1993) 229-239.

100. A unified approach to various orthogonalities.
     Ann. Fac. Sci. Toulouse, sér.3, vol.1, fasc.3, (1992) 277-292.

101. Biorthogonality and conjugate gradient-type algorithms.
     in Contributions in Numerical Mathematics, R.P. Agarwal ed., World Scientific, Singapore, 1993, pp.55-70.

102. Hybrid procedures for solving linear systems (with M. Redivo Zaglia).
     Numer. Math., 67 (1994) 1-19.

103. Breakdowns in the computation of orthogonal polynomials (with M. Redivo Zaglia).
     in Nonlinear Numerical Methods and Rational Approximation, II, A. Cuyt ed., Kluwer, Dordrecht, 1994, pp.49-59.

104. Orthogonal polynomials and the Lanczos method (with M. Redivo Zaglia and H. Sadok).
     in Numerical Analysis and Mathematical Modelling, Banach Center Publications, vol. 29, PWN, Warszawa, 1994, pp.19-33.

105. Treatment of near-breakdown in the CGS algorithm (with M. Redivo Zaglia).
     Numer. Algorithms, 7 (1994) 33-73.

106. Orthogonal polynomials of dimension -1 in the non-definite case (with M. Redivo Zaglia).
     Rend. Mat. Roma, ser. VII, 14 (1994) 127-133.

107. The reverse bordering method (with M. Morandi Cecchi and M. Redivo Zaglia).
     SIAM J. Matrix Anal. Appl., 15 (1994) 922-937.

108. Historical perspective on interpolation, approximation and quadrature.
     in Handbook of Numerical Analysis, vol.III, P.G. Ciarlet and J.L. Lions eds., North-Holland, Amsterdam, 1994, pp.3-46.

109. Padé approximations (with J. van Iseghem).
     in Handbook of Numerical Analysis, vol. III, P.G. Ciarlet and J.L. Lions eds., North-Holland, Amsterdam, 1994, pp.47-222.

110. An introduction to Padé approximations.
     in Curves and Surfaces in Geometric Design, P.J. Laurent, A. Le Méhauté, L.L. Schumaker eds., A.K. Peters, Wellesley, 1994, pp.59-65.

111. The generalizations of Newton's interpolation formula due to Mühlbach and Andoyer.
     Electr. Trans. Numer. Anal., 2 (1994) 130-137.

112. Extrapolation methods (with M. Redivo Zaglia).
     Appl. Numer. Math., 15 (1994) 123-131.

113. A general extrapolation procedure revisited (with M. Redivo Zaglia).
     Advances Comput. Math., 2 (1994) 461-477.

114. On the kernel of sequence transformations (with M. Redivo Zaglia).
     Appl. Numer. Math., 16 (1994) 239-244.

115. Vector orthogonal polynomials of dimension -d (with J. van Iseghem).
     in Approximation and Computation: A Festschrift in Honor of Walter Gautschi: Proceedings of the Purdue Conference, December 2–5, 1993, R.V.M. Zahar ed., ISNM, vol. 119, Birkhäuser, Basel, 1994, pp. 29-39.

116. Look-ahead in Bi-CGSTAB and other product methods for linear systems (with M. Redivo Zaglia).
     BIT, 35 (1995) 169-201.

117. A taste of Padé approximation (with J. van Iseghem).
     in Acta Numerica 1995, A. Iserles ed., Cambridge University Press, Cambridge, 1995, pp. 53-103.

118. Formal orthogonality on an algebraic curve.
     Annals Numer. Math., 2 (1995) 21-33.

119. Matrix and vector sequence transformations revisited (with A. Salam).
     Proc. Edinburgh Math. Soc., 38 (1995) 495-510.

120. The methods of Vorobyev and Lanczos.
     Linear Algebra Appl., 234 (1996) 21-41.

121. The algebra of linear functionals on polynomials, with applications to Padé approximation (with P. Maroni).
     Numer. Algorithms, 11 (1996) 25-33.

122. A look-ahead strategy for the implementation of some old and new extrapolation methods (with M. Redivo Zaglia).
     Numer. Algorithms, 11 (1996) 35-55.

123. Acceleration properties of the hybrid procedure for solving linear systems (with A. Abkowicz).
     Applicationes Mathematicae, 23 (1996) 417-432.

124. A derivation of extrapolation algorithms based on error estimates (with A.C. Matos).
     J. Comput. Appl. Math., 66 (1996) 5-26.

125. Biorthogonal polynomials and the bordering method for linear systems (with C. Musschoot).
     Rend. Sem. Mat. Fis. Milano, 64 (1994) 85-98.

126. Extrapolation algorithms and Padé approximations: a historical survey.
     Appl. Numer. Math., 20 (1996) 299-318.

127. Vector and matrix sequence transformations based on biorthogonality (with M. Redivo Zaglia).
     Appl. Numer. Math., 21 (1996) 353-373.

128. On the zeros of various kinds of orthogonal polynomials (with M. Redivo Zaglia).
     Annals Numer. Math., 4 (1997) 67-78.

129. Variations on Richardson's method and acceleration.
     in Numerical Analysis, A Numerical Analysis Conference in Honour of Jean Meinguet, Bull. Soc. Math. Belg., 1996, pp. 33-44.

130. André Louis Cholesky.
     in Numerical Analysis, A Numerical Analysis Conference in Honour of Jean Meinguet, Bull. Soc. Math. Belg., 1996, pp. 45-50.

131. Thomas--Joannes Stieltjes.
     in Les Math\'ematiciens , P. Thuillier et al. eds., Bibliothèque Pour La Science, Belin, Paris, 1996, pp. 196--204.

132. Breakdowns in the implementation of the Lánczos method for solving linear systems (with M. Redivo Zaglia and H. Sadok).
     Computers Math. Applic., 33 (1997) 31-44.

133. Projection methods for linear systems.
     J. Comput. Appl. Math., 77 (1997) 35-51.

134. A transpose-free Lanczos/Orthodir algorithm for linear systems.
     C.R. Acad. Sci. Paris, Sér. I, 324 (1997) 349-354.

135. Problems of breakdown and near-breakdown in Lanczos-based algorithms (with M. Redivo Zaglia and H. Sadok).
     in Algorithms for Sparse Large Scale Linear Algebraic Systems, G. Winter Althaus and E. Spedicato eds., Kluwer, Dordrecht, 1998, pp. 255-270.

136. Hybrid methods for solving systems of equations.
     in Algorithms for Sparse Large Scale Linear Algebraic Systems, G. Winter Althaus and E. Spedicato eds., Kluwer, Dordrecht, 1998, pp. 271-290.

137. Transpose-free Lanczos-type algorithms for nonsymmetric linear systems (with M. Redivo Zaglia).
     Numer. Algorithms, 17 (1998) 67-103.

138. Nonlinear hybrid procedures and fixed point iterations (with J.-P. Chehab).
     Numer. Funct. Anal. Optimization, 19 (1998) 465-487.

139. Coupled implementations of transpose-free Lanczos and Lanczos-type product methods (with M. Redivo Zaglia).
     in Iterative Methods in Scientific Computation, J. Wang and al. eds, IMACS Ser. Comput. Appl. Math., 4 (1998) 3-8.

140. New look-ahead implementations of Lanczos method for unsymmetric systems (with M. Redivo Zaglia and H. Sadok).
     in Iterative Methods in Scientific Computation, J. Wang and al. eds, IMACS Ser. Comput. Appl. Math., 4 (1998) 9-14.

141. Vector sequence transformations: methodology and applications to linear systems.
     J. Comput. Appl. Math., 98 (1998) 149-175.

142. Extrapolation techniques for ill-conditioned linear systems (with M. Redivo Zaglia, G. Rodriguez and S. Seatzu).
     Numer. Math., 81 (1998) 1-29.

143. Multiparameter iterative schemes for the solution of systems of linear and nonlinear equations (with J.-P. Chehab).
     SIAM J. Sci. Comput., 20 (1999) 2140-2159.

144. Error estimates in linear systems.
     in Error Control and Adaptivity in Scientific Computing, H. Bulgak and C. Zenger eds., Kluwer, Dordrecht, 1999, pp. 65-74.

145. Error estimates in Padé approximation.
     in Error Control and Adaptivity in Scientific Computing, H. Bulgak and C. Zenger eds., Kluwer, Dordrecht, 1999, pp. 75-85.

146. Error estimates and convergence acceleration.
     in Error Control and Adaptivity in Scientific Computing, H. Bulgak and C. Zenger eds., Kluwer, Dordrecht, 1999, pp. 87-94.

147. Multiparameter descent methods.
     Linear Algebra Appl., 296 (1999) 113-142.

148. New look-ahead Lanczos-type algorithms for linear systems (with M. Redivo Zaglia and H. Sadok).
     Numer. Math., 83 (1999) 53-85.

149. Transpose-free look-ahead algorithms for Lanczos' method (with M. Redivo Zaglia).
     in Applications and Computation of Orthogonal Polynomials, W. Gautschi, G.H. Golub and G. Opfer eds., Birkhäuser, Basel, 1999, pp. 21-40.

150. Krylov subspace methods, biorthogonal polynomials and Padé-type approximants.
     Numer. Algorithms, 21 (1999) 97-107.

151. Error estimates for the solution of linear systems.
     SIAM J. Sci. Comput., 21 (1999) 764-781.

152. Aitken $\Delta^2$ process.
     in Encyclopaedia of Mathematics, Supplement II, M. Hazewinkel ed., Kluwer, Dordrecht, 2000, pp. 23-24.

153. Extrapolation algorithms.
     in Encyclopaedia of Mathematics, Supplement II, M. Hazewinkel ed., Kluwer, Dordrecht, 2000, pp. 212-214.

154. Difference and differential equations, and convergence acceleration algorithms.
     in SIDE III - Symmetries and Integrability of Difference Equations, D. Levi and O. Ragnisco eds., CRM Proceedings and Lecture Notes, vol. 25, AMS, Providence, 2000, pp..

155. Variations on Lanczos' tridiagonalization process (with M. Redivo Zaglia).
     Calcolo, 37 (2000) 159-179.

156. The block Lanczos and Vorobyev methods.
     C.R. Acad. Sci. Paris, Série I, 331 (2000) 137-142.

157. Convergence acceleration during the 20th century.
     J. Comput. Appl. Math., 122 (2000) 1-21.

158. The matrix and polynomial approaches to Lanczos--type algorithms (with M. Redivo Zaglia and H. Sadok).
     J. Comput. Appl. Math., 123 (2000) 241--260.

159. Acceleration procedures for matrix iterative methods.
     Numer. Algorithms, 25 (2000) 63--73.

160. Least squares orthogonal polynomials and applications (with A.C. Matos).
     in Encyclopaedia of Optimization, Vol. 3 (Interior -- M), C.A. Floudas and P.M. Pardalos eds., Kluwer, Dordrecht, 2001, pp. 155-160.

161. Numerical analysis in the twentieth century (with L. Wuytack).
     in Numerical Analysis: Historical Developments in the 20th Century C. Brezinski and L. Wuytack eds., North--Holland, Amsterdam, 2001, pp. 1-40.

162. Dynamical systems and sequence transformations.
     J. Phys. A: Math. Gen., 34 (2001) 10659-10669.

163. Block descent methods and hybrid procedures for linear systems.
     Numer. Algorithms, 29 (2002) 21-32.

164. Block projection methods for linear systems (with M. Redivo Zaglia).
     Numer. Algorithms, 29 (2002) 33-43.

165. A review of formal orthogonality in Lanczos-based methods (with M. Redivo Zaglia and H. Sadok).
     J. Comput. Appl. Math., 140 (2002) 81-98.

166. Résolution des systèmes linéaires.
     in Outils d'Analyse Numérique, A. Barraud ed., Hermès, Paris, 2002, pp. 109-144.

167. Biorthogonal vector sequence transformations and Padé approximation of vector series.
     Appl. Numer. Math., 41 (2002) 437-442.

168. An introduction to formal orthogonality and some of its applications.
     Rev. R. Acad. Cienc. Exactas Fis. Nat. Madr., Ser. A, 96 (2002) 157--173.

169. Multi--parameter regularization techniques for ill--conditioned linear systems (with M. Redivo Zaglia, G. Rodriguez and S. Seatzu).
     Numer. Math., 94 (2003) 203--228.

170. A Schur complement approach to a general extrapolation algorithm (with M. Redivo Zaglia).
     Linear Algebra Appl., 368 (2003) 279--301.

171. A tribute.
     Numer. Algorithms, 33 (2003) 3--9.

172. A classification of quasi--Newton methods.
     Numer. Algorithms, 33 (2003) 123--135.

173. Comparisons between vector and matrix Padé approximants.
     J. Nonlinear Mathematical Physics, 10, Supplement 2 (2003) 1--12.

174. Model reduction by state space projection.
     Commun. Appl. Anal., 8 (2004) 323--333.

175. Quasi--orthogonality with applications to some families of classical orthogonal polynomials (with K.A. Driver and M. Redivo Zaglia).
     Appl. Numer. Math., 48 (2004) 157--168.

176. New vector sequence transformations (with M. Redivo Zaglia).
     Linear Algebra Appl., 389 (2004) 189--213.

177. Altman's methods revisited (with C. Roland and B. Beckermann).
     Appl. Math. (Warsaw), 31 (2004) 353--368.

178. Extrapolation algorithms for filtering series of functions, and treating the Gibbs phenomenon.
     Numer. Algorithms, 36 (2004) 309--329.

179. Schur complements and applications in numerical analysis.
     The Schur Complement and its Applications, F. Zhang ed., Springer, New York, 2005, pp. 227--258.

180. Triangular recursive schemes, sequence transformations, ratios of determinants, and Schur complements in approximation.
     Mathematical Methods for Curves and Surfaces: Tromsø 2004, M. Dæhlen, K. Mørken, and L.L. Schumaker eds., Nashboro Press, Brentwood, 2005, pp. 27--38.

181. Extrapolation methods for PageRank computations (with M. Redivo Zaglia and S. Serra-Capizzano).
     C.R. Acad. Sci. Paris, ser. I, 340 (2005) 393--397.

182. The multiparameter conjugate gradient algorithm (with F. Bantegnies).
     Matapli, 75 (2004) 67--85.

183. Numerical approximation and analysis.
     Encyclopedia of Condensed Matter Physics, F. Bassani, G.L. Liedl, P. Wyder eds., Elsevier, Oxford, 2005, vol. 4, pp. 132--134.

184. La vie et les travaux d'André Cholesky (with M. Gross-Cholesky).
     Bull. Soc. Amis. Bib. Éc. Polytech., 39 (2005) 7--32.

185. Géodésie, topographie et cartographie.
     Bull. Soc. Amis. Bib. Éc. Polytech., 39 (2005) 33--68.

186. La méthode de Cholesky.
     Rev. Hist. Math., 11 (2005) 205--238.

187. Méthodes numériques de base - Analyse numérique (version revue et augmentée).
     Encyclopédie des Techniques de l'Ingénieur, Paris, 2006, pp. AF1220 1--22, Doc. AF1220 1--2.

188. Méthodes numériques de base - Algèbre numérique (version revue et augmentée).
     Encyclopédie des Techniques de l'Ingénieur, Paris, 2006, pp. AF1221 1--15, Doc. AF1221 1--2.

189. The PageRank vector: properties, computation, approximation, and acceleration (with M. Redivo Zaglia).
     SIAM J. Matrix Anal. Appl., 28 (2006) 551--575.

190. The life and work of André Cholesky.
     Numer. Algorithms, 43 (2006) 279--288.

191. André-Louis Cholesky: his life and works.
     Transgressive Computing 2006, Jean-Guillaume Dumas ed., Granada, Spain, pp. 31--35.

192. Some numerical analysis problems behind web search (with M. Redivo Zaglia).
     Transgressive Computing 2006, Jean-Guillaume Dumas ed., Granada, Spain, pp. 401--404.

193. Cauchy--Schwarz and Kantorovich type inequalities for scalar and matrix moment sequences (with M. Raydan).
     Adv. Comput. Math., 26 (2007) 71--80.

194. Extrapolation and minimization procedures for the PageRank vector (with M. Redivo Zaglia).
     Web Information Retrieval and Linear Algebra Algorithms, Seminar 07071, Dagstuhl Seminars Proceedings, 2007.

195. Aspects numériques du contrôle linéaire.
     Encyclopédie des Techniques de l'Ingénieur, Paris, 2007, pp. AF1400 1--20, Doc. AF 1400 1--2.

196. A brief introduction to integrable systems.
     Int. J. Computing Science and Mathematics, 1 (2007) 98--106.

197. Generalizations of Aitken's process for accelerating the convergence of sequences (with M. Redivo Zaglia).
     Mat. Apl. Comput., 26 (2007) 171--189.

198. Le classement des pages du web par les moteurs de recherche (with M. Redivo Zaglia).
     Matapli, 85 (2008) 47--57.

199. Rational extrapolation for the PageRank vector (with M. Redivo Zaglia).
     Math. Comp., 77 (2008) 1585--1598.

200. Error estimates for linear systems with applications to regularization (with G. Rodriguez and S. Seatzu).
     Numer. Algorithms, 49 (2008) 85--104.

201. A review of vector convergence acceleration methods, with applications to linear algebra problems(with M. Redivo Zaglia).
     Intern. J. Quantum Chem., 109 (2009) 1631--1639.

202. Some pioneers of extrapolation methods.
     The Birth of Numerical Analysis , A. Bultheel and R. Cools eds., World Scientific Publ. Co., Singapore, 2009, pp. 1-22.

203. Error estimates for the regularization of least squares problems (with G. Rodriguez and S. Seatzu).
     Numer. Algorithms, 51 (2009) 61-76.

204. The Italian contribution to the foundation and the development of continued fractions.
     Rend. Sem. Mat. Univ. Pol. Torino, 68 (2010) 1-18.

205. Cross rules of some extrapolation algorithms (with Y. He, X.-B. Hu and J.-Q. Sun).
     J. Phys. A: Math. Theor., 43 (2010) 205201.

206. From numerical quadrature to Padé approximation.
     Appl. Numer. Math., 60 (2010) 1209-1220.

207. A generalization of the G-transformation and the related algorithms (with Y. He, X.-B. Hu and J.-Q. Sun).
     Appl. Numer. Math., 60 (2010) 1221-1230.

208. Extensions of Drummond's process for convergence acceleration (with M. Redivo Zaglia).
     Appl. Numer. Math., 60 (2010) 1231-1241.

209. These strange fractions which never end or the history of continued fractions.
     CARIPARO, http://www.fondazionecariparo.it/docs/vis_prof_lez/Brezinski.pdf.

210. Cross rules and non-Abelian lattice equations for the discrete and confluent non-scalar epsilon--algorithms.
     Inverse Problems, 26 (2010) 095013 .

211. Extended procedures for extrapolation to the limit (with M. Redivo Zaglia).
     J. Comput. Appl. Math., 235 (2010) 631-645.

212. Nonlinear functional equations satisfied by orthogonal polynomials.
     J. Approx. Theory, 162 (2010) 2290-2302.

213. These strange fractions which never end, or the history of continued fractions (with M. Redivo Zaglia).
     Mathematical Survey, Periodic Scientific Version, Hellenic Mathematical Society, Athens, 74 (2010) 102-123 (in Greek).

214. Confluent form of the multistep epsilon-algorithm, and the relevant integrable system (with Y. He, X.-B. Hu, J.-Q. Sun, H.-W. Tam).
     Stud. Appl. Math., 127 (2011) 191-209.

215. André Louis Cholesky, topographe et mathématicien (1875-1918).
     XYZ, 129 (2011) 51-62.

216. On Padé approximants and the epsilon-algorithms for vectors in 2 and 3 dimensions.
     Jaen J. Approx, 3 (2011), 251-260.

217. A rational Arnoldi approach for ill-conditioned linear systems (with P. Novati, M. Redivo Zaglia).
     J. Comput. Appl. Math., 236 (2012) 2063–2077.

218. Moments of a linear operator on a Hilbert space, with applications to the trace of the inverse of matrices and the solution of equations (with P. Fika, M. Mitrouli).
     Numer. Linear Algebra Appl., 19 (2012) 937-953.

219. Multistep epsilon-algorithm, Shanks' transformation, and the Lotka-Volterra system by Hirota's method (with Y. He, X.-B. Hu, M. Redivo Zaglia, J.-Q. Sun).
     Math. Comput., 81 (2012) 1527-1549

220. La famille d'André Louis Cholesky (avec M. Gross-Cholesky et R. Nuvet).
     Matapli, 97 (2012) 69-86.

221. Estimations of the trace of powers of self--adjoint operators by extrapolation of the moments (with P. Fika and M. Mitrouli).
     Electr. Trans. Numer. Anal., 39 (2012) 144-159.

222. Padé-type rational and barycentric interpolation (with M. Redivo Zaglia).
     Numer. Math., 125 (2013) 89--113.

223. Bases fonctionnelles de l'analyse numérique.
     Encyclopédie des Techniques de l'Ingénieur, AF1223, 13 pages, 2013.

224. Preface.
     Walter Gautschi. Selected Works with Commentaries, Birkhauser, New York, 2013, vol.1, pp. 1--2.

225. Biography of Walter Gautschi (with A. Sameh).
     Walter Gautschi. Selected Works with Commentaries, Birkhauser, New York, 2013, vol.1, pp. 5--7.

226. Interpolation, approximation et extrapolation rationnelles (with M. Redivo Zaglia).
     Encyclopédie des Techniques de l'Ingénieur, AF1390, 10 pages, 2013.

227. The simplified topological epsilon-algorithms for accelerating sequences in a vector space (with M. Redivo Zaglia).
     SIAM J. Sci. Comput., 36 (2014) A2227--A2247.

228. New representations of Padé, Padé-type, and partial Padé approximants. (with M. Redivo Zaglia).
     J. Comput. Appl. Math., 284 (2015) 69-77.

229. Convergence acceleration of Kaczmarz's method (with M. Redivo Zaglia).
     J. Engrg. Math., J. Eng. Math., 93 (2015) 3--19.

230. Rational approximation.
     in Encyclopedia of Applied and Computational Mathematics , B. Engquist ed., Springer-Verlag, Berlin, Heidelberg, 2015.

231. André--Louis Cholesky (1875-1918), mathématicien, topographe, enseignant et officier (with Dominique Tournès).
     in Images des Mathématiques , http://images.math.cnrs.fr/Andre-Louis-Cholesky-1875-1918-mathematicien-topographe-enseignant-et-officier.html\#commentaires.

232. The simplified topological epsilon-algorithms: software and applications (with M. Redivo Zaglia)
     Numer. Algorithms, 74 (2017) 1237-1260.

233. Le classement des sommets dans les réseaux (with M. Redivo Zaglia)
     in Encyclopédie des Techniques de l'Ingénieur, AF 1527, April 2017.

234. Shanks function transformations in a vector space (with M. Redivo Zaglia).
     Appl. Numer. Math., 116 (2017) 57-63.

235. Shanks sequence transformations and Anderson acceleration (with M. Redivo Zaglia and Y. Saad).
     SIAM Rev., 60 (2018) 646-669.

236. Hirota's bilinear method, Shanks' transformation, and the epsilon--algorithms (with M. Redivo Zaglia).
     Rev. Roumaine Math. Pures Appl., 63 (2018) 361-375.

237. Extrapolation methods for the numerical solution of nonlinear Fredholm integral equations (with M. Redivo Zaglia).
     J. Integral Equations Appl., 31 (2019) 29-57.

238. Reminisces of Peter Wynn.
     Numer. Algorithms, 80 (2019) 5-10.

239. The genesis and early developments of Aitken's process, Shanks' transformation, the epsilon-algorithm, and related fixed point methods (with M. Redivo Zaglia).
     Numer. Algorithms, 80 (2019) 11-133.

240. Zeros of quadratic quasi-orthogonal order 2 polynomials (with K.A. Driver and M. Redivo Zaglia).
     Appl. Numer. Math., 135 (2019) 143-145.

241. Matrix Shanks transformations (with M. Redivo Zaglia).
     Electron. J. Linear Algebra, 35 (2019) 248-265.

242. Some unusual results on extrapolation methods (with M. Redivo Zaglia).
     Numer. Algorithms, 84 (2020) 1241-1264.

243. A survey of Shanks' extrapolation methods and their applications (with M. Redivo Zaglia).
     Comput. Math. Math. Phys., 61 (5) (2021) 723-743.

244. Shanks and Anderson-type acceleration techniques for systems of nonlinear equations (with S. Cipolla, M. Redivo-Zaglia and Y. Saad).
     IMA J. Numer. Anal., 42 (2022) 3058–3093.

245. The legacy of Peter Wynn (with F.A. Norman and M. Redivo-Zaglia).
     Mathematics, 9 (11) (2021) 1240.

246. Extrapolation and prediction of sequences in a vector space (with M. Redivo-Zaglia).
     J. Comput. Appl. Math., 409 (2022) 114164.

247. Augustin Fresnel
     France Mémoire

248. Richard Steven Varga, 1928-2022 (with P.G. Ciarlet)
     Numer. Algorithms, 90 (2022) 1-2.

249. Joseph Fourier
     France Mémoire

250. On the kernel of the vector epsilon-algorithm (with M. Redivo-Zaglia and A. Salam)
     Numer. Algorithms, 92 (2023) 207-221.

251. Reuben Louis Rosenberg (1909-1986) and the Stein-Rosenberg theorem (with M. Redivo-Zaglia)
     Electron. Trans. Numer. Anal., 58 (2023) A1-A38.

252. A family of new generating functions for the Chebyshev polynomials, based on a work by Laplace, Lagrange and Euler (with M. Redivo-Zaglia)
     Mathematics, 2024, 12, 751. https:// doi.org/10.3390/math12050751
     Submitted.

253. A tutorial on extrapolation methods, with applications (with Michela Redivo-Zaglia)
     Advances in Mathematics (China), 53 (2024) 13-40.