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...
Gardado en:
| Auteurs principaux: | , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Series: | Lecture notes in mathematics
1727 |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
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| 100 | 1 | |a Kravanja, Peter, |d 1971- | |
| 245 | 1 | 0 | |a Computing the Zeros of Analytic Functions |c Peter Kravanja, Marc Barel. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1727 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 blend of mathematics and numerical analysis. This book treats these four problems in a unified way. It contains not only theoretical results (based on formal orthogonal polynomials or rational interpolation) but also numerical analysis and algorithmic aspects, implementation heuristics, and polished software (the package ZEAL) that is available via the CPC Program Library. Graduate studets and researchers in numerical mathematics will find this book very readable. | ||
| 650 | |a Fonctions analytiques | ||
| 650 | |a Zéro (le nombre) | ||
| 650 | |a Analyse numérique | ||
| 650 | |a Mathématiques | ||
| 650 | |a Polynômes | ||
| 650 | |a Fonctions d'une variable complexe | ||
| 700 | 1 | |a Barel, Marc Van, |d 1960-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 058518967 |t Computing the zeros of analytic functions |f Peter Kravanja, Marc Van Barel |d 2000 |c Berlin |n Springer |p 1 vol. (VI-111 p.) |s Lecture notes in mathematics |z 3-540-67162-5 | |
| 776 | 0 | |t Computing the Zeros of Analytic Functions |b Texte imprimé |z 9783662180907 | |
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| 997 | |0 972333 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||