The Vector QD Algorithm for Smooth Functions (f, f′)
We deal with the functionz↦(f(z), f′(z)) wheref(z)=∑i⩾0aizi, (ai∈C) with limi→∞ai+1×ai−1/(ai)2=q. We investigate the convergence of the vector QD algorithm. We give the asymptotic behaviour of the generalized Hankel determinants. A convergence result on the vector orthogonal polynomials is proved....
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| Veröffentlicht in: | Journal of approximation theory Jg. 86; H. 3; S. 255 - 269 |
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| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Elsevier Inc
01.09.1996
Elsevier |
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| ISSN: | 0021-9045, 1096-0430 |
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| Abstract | We deal with the functionz↦(f(z), f′(z)) wheref(z)=∑i⩾0aizi, (ai∈C) with limi→∞ai+1×ai−1/(ai)2=q. We investigate the convergence of the vector QD algorithm. We give the asymptotic behaviour of the generalized Hankel determinants. A convergence result on the vector orthogonal polynomials is proved. |
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| AbstractList | We deal with the functionz↦(f(z), f′(z)) wheref(z)=∑i⩾0aizi, (ai∈C) with limi→∞ai+1×ai−1/(ai)2=q. We investigate the convergence of the vector QD algorithm. We give the asymptotic behaviour of the generalized Hankel determinants. A convergence result on the vector orthogonal polynomials is proved. |
| Author | Le Ferrand, Hervé |
| Author_xml | – sequence: 1 givenname: Hervé surname: Le Ferrand fullname: Le Ferrand, Hervé organization: Laboratoire d'Analyse Appliquée et d'Optimisation, Département de Mathématiques, Université de Bourgogne, BP 138, 21004, Dijon Cedex, France |
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| Copyright | 1996 Academic Press Distributed under a Creative Commons Attribution 4.0 International License |
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| Snippet | We deal with the functionz↦(f(z), f′(z)) wheref(z)=∑i⩾0aizi, (ai∈C) with limi→∞ai+1×ai−1/(ai)2=q. We investigate the convergence of the vector QD algorithm. We... |
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| SubjectTerms | Mathematics Numerical Analysis |
| Title | The Vector QD Algorithm for Smooth Functions (f, f′) |
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