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Extremal Polynomials and Riemann Surfaces

The problems of conditional optimization of the uniform (or C-) norm for polynomials and rational functions arise in various branches of science and technology. Their numerical solution is notoriously difficult in case of high degree functions. The book develops the classical Chebyshev's approa...

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Bibliographic Details
Main Author: Bogatyrev, Andrei
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2012, 2012
Edition:1st ed. 2012
Series:Springer Monographs in Mathematics
Subjects:
Engineering Mathematics
Numerical Analysis
Functions Of Complex Variables
Approximations And Expansions
Functions Of A Complex Variable
Mathematical Physics
Engineering / Data Processing
Manifolds (mathematics)
Approximation Theory
Theoretical, Mathematical And Computational Physics
Global Analysis (mathematics)
Mathematical And Computational Engineering Applications
Global Analysis And Analysis On Manifolds
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 1 Least deviation problems
  • 2 Chebyshev representation of polynomials
  • 3 Representations for the moduli space
  • 4 Cell decomposition of the moduli space
  • 5 Abel’s equations
  • 6 Computations in moduli spaces
  • 7 The problem of the optimal stability polynomial
  • Conclusion
  • References

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