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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Opis bibliograficzny
1. autor: Bogatyrev, Andrei, 19..-
Format: Livre numérique
Język:Anglais
Wydane: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Wydanie:1st ed. 2012.
Seria:Springer Monographs in Mathematics
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Edition sous un autre format:• Extremal polynomials and Riemann surfaces, Andrei Bogatyrev, Berlin, Springer, 2012, 1 vol. (XXV-150 p.), Springer monographs in mathematics, 978-3-642-25633-2
• Extremal polynomials and Riemann surfaces, Andrei Bogatyrev, Berlin, Springer, 2012, 1 vol. (XXV-150 p.), Springer monographs in mathematics, 978-3-642-25633-2
• Extremal Polynomials and Riemann Surfaces, Texte imprimé, 9783642256356
• Extremal Polynomials and Riemann Surfaces, Texte imprimé, 9783642443329
Spis treści:
  • 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
  • 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