Sequence transformations and their applications /:
Sequence transformations and their applications.
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York :
Academic Press,
1981.
|
| Series: | Mathematics in science and engineering ;
v. 154. |
| Subjects: | |
| Online Access: | DE-862 DE-863 DE-862 DE-863 |
| Summary: | Sequence transformations and their applications. |
| Physical Description: | 1 online resource (xix, 257 pages) |
| Format: | 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. |
| Bibliography: | Includes bibliographical references (pages 249-253) and index. |
| ISBN: | 9780127579405 0127579400 9780080956626 0080956629 1282290185 9781282290181 |
Staff View
MARC
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| 490 | 1 | |a Mathematics in science and engineering ; |v v. 154 | |
| 504 | |a Includes bibliographical references (pages 249-253) and index. | ||
| 588 | 0 | |a Print version record. | |
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| 520 | |a Sequence transformations and their applications. | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
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| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |5 MiAaHDL |2 pda | |
| 505 | 0 | |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 | |
| 505 | 8 | |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 | |
| 505 | 8 | |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 | |
| 505 | 8 | |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 | |
| 505 | 8 | |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 | |
| 650 | 0 | |a Sequences (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85120145 | |
| 650 | 0 | |a Transformations (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85136920 | |
| 650 | 0 | |a Numerical analysis |x Acceleration of convergence. |0 http://id.loc.gov/authorities/subjects/sh85093238 | |
| 650 | 6 | |a Suites (Mathématiques) | |
| 650 | 6 | |a Analyse numérique |x Accélération de la convergence. | |
| 650 | 7 | |a MATHEMATICS |x Infinity. |2 bisacsh | |
| 650 | 7 | |a Numerical analysis |x Acceleration of convergence |2 fast | |
| 650 | 7 | |a Sequences (Mathematics) |2 fast | |
| 650 | 7 | |a Transformations (Mathematics) |2 fast | |
| 758 | |i has work: |a Sequence transformations and their applications (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGRT9D7RwrMJWcHykktCw3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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Record in the Search Index
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| adam_text | |
| any_adam_object | |
| author | Wimp, Jet |
| author_GND | http://id.loc.gov/authorities/names/n79144290 |
| author_facet | Wimp, Jet |
| author_role | |
| author_sort | Wimp, Jet |
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| collection | ZDB-4-EBA |
| contents | 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 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 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 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 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 |
| ctrlnum | (OCoLC)316549577 |
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| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
| format | Electronic eBook |
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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</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="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. 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| id | ZDB-4-EBA-ocn316549577 |
| illustrated | Not Illustrated |
| indexdate | 2025-04-11T08:36:20Z |
| institution | BVB |
| isbn | 9780127579405 0127579400 9780080956626 0080956629 1282290185 9781282290181 |
| language | English |
| oclc_num | 316549577 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (xix, 257 pages) |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 1981 |
| publishDateSearch | 1981 |
| publishDateSort | 1981 |
| publisher | Academic Press, |
| record_format | marc |
| series | Mathematics in science and engineering ; |
| series2 | Mathematics in science and engineering ; |
| spelling | Wimp, Jet. http://id.loc.gov/authorities/names/n79144290 Sequence transformations and their applications / Jet Wimp. New York : Academic Press, 1981. 1 online resource (xix, 257 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematics in science and engineering ; v. 154 Includes bibliographical references (pages 249-253) and index. Print version record. Use copy Restrictions unspecified MiAaHDL star Sequence transformations and their applications. Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL 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. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL digitized 2010 HathiTrust Digital Library committed to preserve MiAaHDL pda 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 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 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 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 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 Sequences (Mathematics) http://id.loc.gov/authorities/subjects/sh85120145 Transformations (Mathematics) http://id.loc.gov/authorities/subjects/sh85136920 Numerical analysis Acceleration of convergence. http://id.loc.gov/authorities/subjects/sh85093238 Suites (Mathématiques) Analyse numérique Accélération de la convergence. MATHEMATICS Infinity. bisacsh Numerical analysis Acceleration of convergence fast Sequences (Mathematics) fast Transformations (Mathematics) fast has work: Sequence transformations and their applications (Text) https://id.oclc.org/worldcat/entity/E39PCGRT9D7RwrMJWcHykktCw3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Wimp, Jet. Sequence transformations and their applications. New York : Academic Press, 1981 9780127579405 (DLC) 80068564 (OCoLC)7196598 Mathematics in science and engineering ; v. 154. http://id.loc.gov/authorities/names/n42015986 |
| spellingShingle | Wimp, Jet Sequence transformations and their applications / Mathematics in science and engineering ; 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 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 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 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 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 Sequences (Mathematics) http://id.loc.gov/authorities/subjects/sh85120145 Transformations (Mathematics) http://id.loc.gov/authorities/subjects/sh85136920 Numerical analysis Acceleration of convergence. http://id.loc.gov/authorities/subjects/sh85093238 Suites (Mathématiques) Analyse numérique Accélération de la convergence. MATHEMATICS Infinity. bisacsh Numerical analysis Acceleration of convergence fast Sequences (Mathematics) fast Transformations (Mathematics) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85120145 http://id.loc.gov/authorities/subjects/sh85136920 http://id.loc.gov/authorities/subjects/sh85093238 |
| title | Sequence transformations and their applications / |
| title_auth | Sequence transformations and their applications / |
| title_exact_search | Sequence transformations and their applications / |
| title_full | Sequence transformations and their applications / Jet Wimp. |
| title_fullStr | Sequence transformations and their applications / Jet Wimp. |
| title_full_unstemmed | Sequence transformations and their applications / Jet Wimp. |
| title_short | Sequence transformations and their applications / |
| title_sort | sequence transformations and their applications |
| topic | Sequences (Mathematics) http://id.loc.gov/authorities/subjects/sh85120145 Transformations (Mathematics) http://id.loc.gov/authorities/subjects/sh85136920 Numerical analysis Acceleration of convergence. http://id.loc.gov/authorities/subjects/sh85093238 Suites (Mathématiques) Analyse numérique Accélération de la convergence. MATHEMATICS Infinity. bisacsh Numerical analysis Acceleration of convergence fast Sequences (Mathematics) fast Transformations (Mathematics) fast |
| topic_facet | Sequences (Mathematics) Transformations (Mathematics) Numerical analysis Acceleration of convergence. Suites (Mathématiques) Analyse numérique Accélération de la convergence. MATHEMATICS Infinity. Numerical analysis Acceleration of convergence |
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