Computing the Zeros of Analytic Functions

Computing all the zeros of an analytic function and their respective multiplicities, locating clusters of zeros and analytic fuctions, computing zeros and poles of meromorphic functions, and solving systems of analytic equations are problems in computational complex analysis that lead to a rich blen...

সম্পূর্ণ বিবরণ

সংরক্ষণ করুন:
গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: Kravanja, Peter, 1971-, Barel, Marc Van, 1960-...., mathématicien (Author)
বিন্যাস: Livre numérique
ভাষা:Anglais
প্রকাশিত: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
মালা:Lecture notes in mathematics 1727
বিষয়গুলি:
অনলাইন ব্যবহার করুন:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
টীকা: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Computing the zeros of analytic functions, Peter Kravanja, Marc Van Barel, 2000, Berlin, Springer, 1 vol. (VI-111 p.), Lecture notes in mathematics, 3-540-67162-5
• Computing the Zeros of Analytic Functions, Texte imprimé, 9783662180907
সূচিপত্রের সারণি:
  • Zeros of analytic functions: Introduction
  • Formal orthogonal polynomials
  • An accurate algorithm to compute zeros of FOPs
  • Numerical examples
  • The software package ZEAL
  • A derivative-free approach
  • Clusters of zeros of analytic functions: How to abtain the centre of a cluster and its weight
  • A numerical example
  • Rational interpolation at roots of unity
  • More numerical examples
  • Zeros and ples of meromorphic functions: Introduction
  • Theoretical considerations and numerical algorithm
  • A numerical example
  • Systems of analytic equations: Introduction
  • A multidimensional logarithmic residue formula
  • The algorithm
  • Numerical examples.