6533b7ddfe1ef96bd1273e2f
RESEARCH PRODUCT
The Vector QD Algorithm for Smooth Functions (f, f′)
Hervé Le Ferrandsubject
Mathematics(all)Numerical AnalysisGeneral MathematicsApplied Mathematics010102 general mathematics010103 numerical & computational mathematics01 natural sciencesConvergence (routing)Orthogonal polynomials0101 mathematicsAlgorithmComputingMilieux_MISCELLANEOUS[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]AnalysisMathematicsdescription
AbstractWe 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-09-01 | Journal of Approximation Theory |