𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Padé approximation of Stieltjes series

✍ Scribed by G.D Allen; C.K Chui; W.R Madych; F.J Narcowich; P.W Smith


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
627 KB
Volume
14
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Convergence Properties Related to p-Poin
✍ O. Njastad 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 377 KB

Let \(\psi\) be a finite positive measure on \(\mathbf{R}\), and let \(F_{\psi}(z)=\int_{-x}^{x}(d \psi(t) /(z-t))\) be its Stieltjes transform. A special multipoint Padé approximation problem for \(F_{\psi}(z)\) is studied, where the interpolation points are a finite number of points \(a_{1}, \ldot

Vector Padé-Type Approximants and Vector
✍ A. Salam 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 146 KB

The aim of this paper is to define vector Pade -type approximants and vector Pade approximants following the same ideas as in the scalar case. This approach will be possible using Clifford's algebra structures. Vector Pade approximants will be derived from the theory of formal vector orthogonal poly

The Padé approximant
✍ George A Baker Jr.; J.L Gammel 📂 Article 📅 1961 🏛 Elsevier Science 🌐 English ⚖ 432 KB
Convergence Rates of Padé and Padé-Type
✍ Amiran Ambroladze; Hans Wallin 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 356 KB

A comparison is made between Pade and Pade -type approximants. Let Q n be the n th orthonormal polynomial with respect to a positive measure + with compact support in C. We show that for functions of the form where w is an analytic function on the support of +, Pade -type approximants with denomina

Generalized Multivariate Padé Approximan
✍ Philippe Guillaume; Alain Huard; Vincent Robin 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 328 KB

A new definition of multivariate Pade approximation is introduced, which is a natural generalization of the univariate Pade approximation and consists in replacing the exact interpolation problem by a least squares interpolation. This new definition allows a straightforward extension of the Montessu