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221028 ||| eng |
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|a 9780080956626
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|a 0127579400
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|a 9780127579405
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|a 0080956629
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|a 1282290185
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|a QA292
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|a Wimp, Jet
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245 |
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|a Sequence transformations and their applications
|c Jet Wimp
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260 |
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|a New York
|b Academic Press
|c 1981, 1981
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300 |
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|a xix, 257 pages
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|a 9.1 A Multiparameter e-Algorithm9.2 The p-Algorithm; 9.3 The ?-Algorithm; 9.4 Implicit Summation: Logarithmically Convergent Sequences; Chapter 10. The Brezinski-Håvie Protocol; 10.1 Introduction and Derivation; Sequences in a Banach Space; 10.2 The Case f Constant; 10.3 The Topological Schmidt Transformation; 10.4 The Scalar Case; 10.5 The Levin Transformations; 10.6 Special Computational Procedures: The Trench Algorithm; Chapter 11. The Brezinski-Håvie Protocol and Numerical Quadrature; 11.1 Introduction; The G-Transform; 11.2 The Computation of Fourier Coefficients; 11.3 The tanh Rule
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|a 2.3 Important Triangles2.4 Toeplitz Methods Applied to Series of Variable Terms; Fourier Series and Lebesgue Constants; 2.5 Toeplitz Methods and Rational Approximations; The Padé Table; 2.6 Other Orthogonal Methods; Pollaczek Polynomials and Padé Approximants; 2.7 Other Methods for Generating Toeplitz Transformations; Chapter 3. Linear Lozenge Methods; 3.1 Background: Richardson Extrapolation and Romberg Integration; 3.2 General Deltoids; 3.3 Deltoids Obtained by Extrapolation; 3.4 Example: Quadrature Based on Cardinal Interpolation; 3.5 General Rhombus Lozenges
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|a Chapter 4. Optimal Methods and Methods Based on Power Series4.1 Best Methods for Laplace Moment Sequences; 4.2 Optimal Approximations in l1 and Rc; 4.3 Methods Based on Power Series; Chapter 5. Nonlinear Lozenges; Iteration Sequences; 5.1 General Theory of Nonlinear Lozenge Algorithms; 5.2 Path Regularity for Certain Lozenges; 5.3 Iteration Sequences; Chapter 6. The Schmidt Transformation; The e-Algorithm; 6.1 Background; 6.2 Derivation; 6.3 Exactness Results; 6.4 The Effect of ek on Certain Series; 6.5 Power Series and ek; The Padé Table
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|a Front Cover; Sequence Transformations and Their Applications; Copyright Page; Contents; Preface; Acknowledgments; Notation; Chapter 1. Sequences and Series; 1.1 Order Symbols and Asymptotic Scales, Continuous Variables; 1.2 Integer Variables; 1.3 Sequences and Transformations in Abstract Spaces; 1.4 Properties of Complex Sequences; 1.5 Further Properties of Complex Sequences; 1.6 Totally Monotone and Totally Oscillatory Sequences; 1.7 Birkhoff-Poincaré Logarithmic Scales; Chapter 2. Linear Transformations; 2.1 Toeplitz's Theorem in a Banach Space; 2.2 Complex Toeplitz Methods
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|a Includes bibliographical references (pages 249-253) and index
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|a 6.6 Geometrical Significance of the Schmidt Transformation6.7 The e-Algorithm; 6.8 The Stability of the e-Algorithm; 6.9 Rational Analogs of the Formulas of Numerical Analysis; 6.10 Generalizations of the e-Algorithm; 6.11 Fixed Points of Differentiable Functions; Chapter 7. Aitken's d2-Process and Related Methods; 7.1 Aitken's d2-Process; 7.2 The Lubkin W-Transform; 7.3 Related Algorithms; Chapter 8. Lozenge Algorithms and the Theory of Continued Fractions; 8.1 Background; 8.2 The Quotient Difference Algorithm; The?-Algorithm; Chapter 9. Other Lozenge Algorithms and Nonlinear Methods
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653 |
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|a Analyse numérique / Accélération de la convergence
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653 |
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|a Numerical analysis / Acceleration of convergence / http://id.loc.gov/authorities/subjects/sh85093238
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|a Transformations (Mathematics) / http://id.loc.gov/authorities/subjects/sh85136920
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|a Suites (Mathématiques)
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653 |
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|a Numerical analysis / Acceleration of convergence / fast / (OCoLC)fst01041274
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653 |
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|a Sequences (Mathematics) / http://id.loc.gov/authorities/subjects/sh85120145
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653 |
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|a Transformations (Mathematics) / fast / (OCoLC)fst01154653
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653 |
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|a Sequences (Mathematics) / fast / (OCoLC)fst01112884
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653 |
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|a MATHEMATICS / Infinity / bisacsh
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|a eng
|2 ISO 639-2
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|b ZDB-1-ELC
|a Elsevier eBook collection Mathematics
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|a Mathematics in science and engineering
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|a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002
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|z 0127579400
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776 |
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|z 9780080956626
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|z 0080956629
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|z 9780127579405
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856 |
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|u https://www.sciencedirect.com/science/bookseries/00765392/154
|x Verlag
|3 Volltext
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|a 515/.24
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|a Sequence transformations and their applications
|