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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bogatyrev, Andrei (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:Springer Monographs in Mathematics,
Temas:
Functions of complex variables.
Approximation theory.
Numerical analysis.
Global analysis (Mathematics).
Manifolds (Mathematics).
Mathematical physics.
Engineering mathematics.
Engineering > Data processing.
Functions of a Complex Variable.
Approximations and Expansions.
Numerical Analysis.
Global Analysis and Analysis on Manifolds.
Theoretical, Mathematical and Computational Physics.
Mathematical and Computational Engineering Applications.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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