Cantitate/Preț
Produs
Total produse
Vezi coșul
Discrete Iterations: A Metric Study de Francois Robert

Discrete Iterations: A Metric Study: Springer Series in Computational Mathematics, cartea 6

Autor Francois Robert Traducere de Jon Rokne
en Limba Engleză Paperback – 6 oct 2011
a c 9 h In presenting this monograph, I would like to indicate both its orientation as well as my personal reasons for being interested in discrete iterations (that is, iterations on a generally very large,jinite set). While working in numerical analysis I have been interested in two main aspects: - the algorithmic aspect: an iterative algorithm is a mathematical entity which behaves in a dynamic fashion. Even if it is started far from a solution, it will often tend to get closer and closer. - the mathematical aspect: this consists of a coherent and rigorous analy­ sis of convergence, with the aid of mathematical tools (these tools are mainly the use of norms for convergence proofs, the use of matrix algebra and so on). One may for example refer to the algorithmic and mathematical aspects of Newton's method in JRn as well as to the QR algorithm for eigenvalues of matrices. These two algorithms seem to me to be the most fascinating algorithms in numerical analysis, since both show a remarkable practical efficiency even though there exist relatively few global convergence results for them.
Citește tot Restrânge

Din seria Springer Series in Computational Mathematics

  • 18% Monotone Discretizations for Elliptic Second Order Partial Differential Equations
    Preț: 119386 lei
  • 18% Tensor Spaces and Numerical Tensor Calculus
    Preț: 97781 lei
  • 15% Introduction to Shape Optimization: Shape Sensitivity Analysis
    Preț: 47852 lei
  • 18% Quadpack: A Subroutine Package for Automatic Integration
    Preț: 69875 lei
  • Numerical Techniques for Stochastic Optimization
    Preț: 38857 lei
  • Sequence Transformations
    Preț: 37193 lei
  • 18% History of Continued Fractions and Padé Approximants
    Preț: 134460 lei
  • Numerical Continuation Methods: An Introduction
    Preț: 37951 lei
  • 18% Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems
    Preț: 134156 lei
  • 18% Mixed and Hybrid Finite Element Methods
    Preț: 75411 lei
  • 20% Lancelot: A Fortran Package for Large-Scale Nonlinear Optimization (Release A)
    Preț: 95751 lei
  • 24% Elliptic Differential Equations: Theory and Numerical Treatment
    Preț: 68804 lei
  • 15% Progress in Approximation Theory: An International Perspective
    Preț: 62414 lei
  • Solving Elliptic Problems Using ELLPACK
    Preț: 38526 lei
  • 18% Numerical Methods Based on Sinc and Analytic Functions
    Preț: 71178 lei
  • 15% Numerical Toolbox for Verified Computing I: Basic Numerical Problems Theory, Algorithms, and Pascal-XSC Programs
    Preț: 61883 lei
  • The Linearization Method for Constrained Optimization
    Preț: 36619 lei
  • 18% Numerical Approximation of Partial Differential Equations
    Preț: 86963 lei
  • 18% Robust Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion-Reaction and Flow Problems
    Preț: 97487 lei
  • 18% Galerkin Finite Element Methods for Parabolic Problems
    Preț: 106874 lei
  • The Graduate Student’s Guide to Numerical Analysis ’98: Lecture Notes from the VIII EPSRC Summer School in Numerical Analysis
    Preț: 37895 lei
  • 18% Matrix Iterative Analysis
    Preț: 91119 lei
  • 15% Numerical Bifurcation Analysis for Reaction-Diffusion Equations
    Preț: 62495 lei
  • 15% Principles of Computational Fluid Dynamics
    Preț: 63263 lei
  • 15% Minimization Methods for Non-Differentiable Functions
    Preț: 50154 lei
  • 15% Method of Difference Potentials and Its Applications
    Preț: 63454 lei
  • 18% Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
    Preț: 134307 lei
  • 18% Numerical Modeling in Materials Science and Engineering
    Preț: 108255 lei
  • 18% Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
    Preț: 117865 lei
  • 18% Domain Decomposition Methods - Algorithms and Theory
    Preț: 76303 lei
  • 15% Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms
    Preț: 68279 lei

Preț: 61205 lei

Preț vechi: 72007 lei
-15% Nou

Puncte Express: 918
Preț estimativ în valută:
10831€ • 12700$ • 9511£

Carte tipărită la comandă

Livrare economică 05-19 februarie 26

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783642648823
ISBN-10: 3642648827
Pagini: 220
Ilustrații: XVI, 198 p.
Dimensiuni: 155 x 235 x 12 mm
Greutate: 0.31 kg
Ediția:Softcover reprint of the original 1st ed. 1986
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Series in Computational Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

1. Discrete Iterations and Automata Networks: Basic Concepts.- 1. Discrete Iterations and Their Graphs.- 2. Examples.- 3. Connectivity Graphs and Incidence Matrices.- 4. Interpretations in Terms of Automata Networks.- 5. Serial Operation and the Gauss-Seidel Operator.- 6. Serial-Parallel Modes of Operation and the Associated Operators.- 2. A Metric Tool.- 1. The Boolean Vector Distance d.- 2. Some Basic Inequalities.- 3. First Applications.- 4. Serial-Parallel Operators. An Outline.- 5. Other Possible Metric Tools.- 3. The Boolean Perron-Frobenius and Stein-Rosenberg Theorems.- 1. Eigenelements of a Boolean Matrix.- 2. The Boolean Perron-Frobenius Theorem.- 3. The Boolean Stein-Rosenberg Theorems.- 4. Conclusion.- 4. Boolean Contraction and Applications.- 1. Boolean Contraction.- 2. A Fixed Point Theorem.- 3. Examples.- 4. Serial Mode: Gauss-Seidel Iteration for a Contracting Operator.- 5. Examples.- 6. Comparison of Operating Modes for a Contracting Operator.- 7. Examples.- 8. Rounding-Off: Successive Gauss- Seidelisations.- 9. Conclusions.- 5.Comparison of Operating Modes.- 1. Comparison of Serial and Parallel Operating Modes.- 2. Examples.- 3. Extension to the Comparison of Two Serial-Parallel Modes of Operation.- 4. Examples.- 5. Conclusions.- 6. The Discrete Derivative and Local Convergence.- 1. The Discrete Derivative.- 2. The Discrete Derivative and the Vector Distance.- 3. Application: Characterization of the Local Convergence in the Immediate Neighbourhood of a Fixed Point.- 4. Interpretation in Terms of Automata Networks.- 5. Application: Local Convergence in a Massive Neighbourhood of a Fixed Point.- 6. Gauss-Seidel.- 7. The Derivative of a Function Composition.- 8. The Study of Cycles: Attractive Cycles.- 9. Conclusions.- 7. A Discrete Newton Method.- 1. Context.- 2. Two Simple Examples.- 3. Interpretation in Terms of Automata.- 4. The Study of Convergence: The Case of the Simplified Newton Method.- 5. The Study of Convergence, The General Case.- 6. The Efficiency of an Iterative Method on a Finite Set.- 7. Numerical Experiments.- 8. Conclusions.- General Conclusion.- Appendix 2. The Number of Regular n x n Matrices with Elements in Z/p (p prime).- Appendix 4. Continuous Iterations-Discrete Iterations.- Inde.