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Sequence Transformations and Their Applications

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Author(s): Jet Wimp (Eds.)
Series: Mathematics in Science and Engineering 154
Publisher: Academic Press
Year: 1981

Language: English
Pages: iii-xix, 1-257

Content:
Edited by
Page iii

Copyright page
Page iv

Preface
Pages ix-xi

Acknowledgements
Page xiii

Notation
Pages xv-xix

Chapter 1 Sequences and Series
Pages 1-23

Chapter 2 Linear Transformations
Pages 24-66

Chapter 3 Linear Lozenge Methods
Pages 67-83

Chapter 4 Optimal Methods and Methods Based on Power Series
Pages 84-100

Chapter 5 Nonlinear Lozenges; Iteration Sequences
Pages 101-119

Chapter 6 The Schmidt Transformation; The ε-Algorithm
Pages 120-148

Chapter 7 Aitken's δ2-Process and Related Methods
Pages 149-155

Chapter 8 Lozenge Algorithms and the Theory of Continued Fractions
Pages 156-165

Chapter 9 Other Lozenge Algorithms and Nonlinear Methods
Pages 166-174

Chapter 10 The Brezinski-Håvie Protocol
Pages 175-199

Chapter 11 The Brezinski-Håvie Protocol and Numerical Quadrature
Pages 200-209

Chapter 12 Probabilistic Methods
Pages 210-226

Chapter 13 Multiple Sequences
Pages 227-242

Appendix
Pages 243-247

Bibliography
Pages 249-253

Index
Pages 255-257