عنوان

Sequence Transformations

(Number (ISBN

3642613470

(Number (ISBN

9783642613470

Number

b571758

Title Proper

Sequence Transformations

General Material Designation

[Book]

First Statement of Responsibility

by Jean-Paul Delahaye.

Place of Publication, Distribution, etc.

Berlin, Heidelberg

Name of Publisher, Distributor, etc.

Springer Berlin Heidelberg

Date of Publication, Distribution, etc.

1988

Specific Material Designation and Extent of Item

(XXI, 252p. 164 illus.).

Series Title

Springer series in computational mathematics, 11.

Text of Note

Bibliographic Level Mode of Issuance: Monograph.

Text of Note

1 The Various Kinds of Algorithmic Sequence Transformations --; 1 - Sequence Transformations --; 2 - Algorithms for Sequences and Algorithmic Transformations --; 3 - k-Normal Algorithms and k-Normal Transformations --; 4 - k-Memories Algorithms and k-Memories Transformations --; 5 - k-Stationary Algorithms and k-Stationary Transformations --; 6 - Rational Transformations and Linear Transformations --; 7 - Diagram of Inclusions --; References --; 2 Decidability and Undecidability in the Limit --; 1 - Definitions and the Normalisation Theorem --; 2 - Problems Concerning Convergence, Turbulence and Periodicity of Sequences --; 3 - Algorithms for Counting the Number of Accumulation Points --; 4 - Algorithms for Determining the Period of an Asymptotically Periodic Sequence --; 5 - Families of Sequences of Iterations --; 6 - Two General Results Concerning the Decidability in the Limit --; Appendix 1 - Strength of an Accumulation Point and Quickness of a Sequence --; Appendix 2 - Decidability in the Limit and Recursivity. --; Appendix 3 - Decidability of the Convergence, Turbulence and Asymptotic Periodicity of a Continuous Function --; References --; 3 Algorithms for Extracting Convergent Subsequences --; 1 - T-Algorithms --; 2 - S-Algorithms --; 3 - U-Algorithms --; 4 - Limitation Results --; References --; 4 The Partially Ordered Systems of Accelerable Families --; 1 - Acceleration Velocity, Acceleration, Prediction --; 2 - Transformations for Convergence Acceleration, Accelerable Families --; 3 - Examples of Accelerable Families of Sequences --; 4 - Relationships Between the Ordered Systems of Accelerable Families --; 5 - Maximal Accelerable Families --; References --; 5 Non-Accelerable Families of Sequences --; 1 - Remanence and First Applications --; 2 - Families of Monotones Sequences --; 3 - Alternating and Oscillating Sequences --; 4 - Families of Linearly Convergent Sequences --; 5 - Families of Logarithmically Convergent Sequences --; 6 - Table of Results --; References --; 6 Accelerating the Convergence of Linear Sequences --; 1 - Linearly Convergent and Periodico-Linearly Convergent Sequences --; 2 - Acceleration of Periodico-Linear Sequences --; 3 - Optimality of the ?2 of Aitken --; References --; 7 Automatic Selection of Sequence Transformations --; 1 - General Methods --; 2 - Automatic Choice of Sequences of Parameters in the Richardson Extrapolation --; References.

Numerical analysis.

Numerical Analysis.

Class number

Book number

by Jean-Paul Delahaye.

Jean-Paul Delahaye

Electronic name

[Book]

Y