1. Preface

   • Claude Brezinski
   • Richard S. Varga

   EditorialNotes Pages: IX - IX

2. The stable computation of formal orthogonal polynomials

   • Bernhard Beckermann

   OriginalPaper Pages: 1 - 23

3. The algebra of linear functionals on polynomials, with applications to Padé approximation

   • C. Brezinski
   • P. Maroni

   OriginalPaper Pages: 25 - 33

4. A look-ahead strategy for the implementation of some old and new extrapolation methods

   • C. Brezinski
   • M. Redivo-Zaglia

   OriginalPaper Pages: 35 - 55

5. Orthogonal rational functions and modified approximants

   • A. Bultheel
   • P. González-Vera
   • O. Njåstad

   OriginalPaper Pages: 57 - 69

   

6. Orthogonal polynomials, Padé approximations and A-stability

   • J. C. Butcher

   OriginalPaper Pages: 71 - 78

7. A hybrid iterative method for symmetric positive definite linear systems

   • D. Calvetti
   • L. Reichel

   OriginalPaper Pages: 79 - 98

8. Breakdown and near-breakdown control in the CGS algorithm using stochastic arithmetic

   • Jean-Marie Chesneaux
   • Ana C. Matos

   OriginalPaper Pages: 99 - 116

9. Computation of special functions by Padé approximants with orthogonal polynomial denominators

   • Cathleen M. Craviotto
   • William B. Jones
   • Nancy J. Wyshinski

   OriginalPaper Pages: 117 - 141

10. Formal orthogonal polynomials revisited. Applications

    • André Draux

    OriginalPaper Pages: 143 - 158

11. The Padé-Rayleigh-Ritz method for solving large hermitian eigenproblems

    • Nahid Emad

    OriginalPaper Pages: 159 - 179

12. A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems

    • Bernd Fischer
    • Martin Hanke
    • Marlis Hochbruck

    OriginalPaper Pages: 181 - 187

13. A new approach to acceleration of convergence of a sequence of vectors

    • P. R. Graves-Morris

    OriginalPaper Pages: 189 - 201

14. Asymptotics of orthogonal polynomials and the numerical solution of ill-posed problems

    • Martin Hanke

    OriginalPaper Pages: 203 - 213

15. Biorthogonal polynomials: Recent developments

    • Arieh Iserles

    OriginalPaper Pages: 215 - 228

16. A note on Koornwinder's polynomials with weight function (1−x)^α(1+x)^β+Mδ(x+1)+Nδ(x−1)

    • Harry Kiesel
    • Jet Wimp

    OriginalPaper Pages: 229 - 241

17. On a regular form defined by a pseudo-function

    • P. Maroni

    OriginalPaper Pages: 243 - 254

18. Some convergence results for the generalized Padé-type approximants

    • Ana C. Matos

    OriginalPaper Pages: 255 - 269

19. A stable Nyström interpolant for some Mellin convolution equations

    • Giovanni Monegato

    OriginalPaper Pages: 271 - 283

20. The modified bordering method to evaluate eigenvalues and eigenvectors of normal matrices

    • M. Morandi Cecchi
    • E. Di Nardo

    OriginalPaper Pages: 285 - 309

21. Dual-orthogonal polynomials

    • Syvert P. Nørsett
    • Bente Østigård

    OriginalPaper Pages: 311 - 326

22. An algebraic approach to the vector ε-algorithm

    • A. Salam

    OriginalPaper Pages: 327 - 337

23. Approximation of a function given by its Laurent series

    • Jeannette Van Iseghem
    • Peter R. Graves-Morris

    OriginalPaper Pages: 339 - 351