Sequence Transformations and Their Applications (Mathematics in Science and Engineering)

Contents:

Preface

Acknowledgements

Notation

Chapter 1 Sequences and Series
Chapter 2 Linear Transformations
Chapter 3 Linear Lozenge Methods
Chapter 4 Optimal Methods and Methods Based on Power Series
Chapter 5 Nonlinear Lozenges; Iteration Sequences
Chapter 6 The Schmidt Transformation; The ε-Algorithm
Chapter 7 Aitken's δ2-Process and Related Methods
Chapter 8 Lozenge Algorithms and the Theory of Continued Fractions
Chapter 9 Other Lozenge Algorithms and Nonlinear Methods
Chapter 10 The Brezinski-Håvie Protocol
Chapter 11 The Brezinski-Håvie Protocol and Numerical Quadrature
Chapter 12 Probabilistic Methods
Chapter 13 Multiple Sequences

Appendix

Bibliography

Index