Algebraic properties of some new vector-valued rational interpolants

Authors:
Avram Sidi
Affiliations:
Computer Science Department, Technion-Israel Institute of Technology, Haifa, Israel
Venue:
Journal of Approximation Theory
Year:
2006

Citing 3
Cited 1

Rational approximations from power series of vector-valued meromorphic functions

Journal of Approximation Theory
Application of Vector-Valued Rational Approximations to the Matrix Eigenvalue Problemand Connections with Krylov Subspace Methods

SIAM Journal on Matrix Analysis and Applications
A new approach to vector-valued rational interpolation

Journal of Approximation Theory

A de Montessus type convergence study of a least-squares vector-valued rational interpolation procedure

Journal of Approximation Theory

Quantified Score

Hi-index	0.00

Visualization

Abstract

In a recent paper of the author [A. Sidi, A new approach to vector-valued rational interpolation, J. Approx. Theory, 130 (2004) 177-187], three new interpolation procedures for vector-valued functions F(z), where F: C → CN, were proposed, and some of their properties were studied. In this work, after modifying their definition slightly, we continue the study of these interpolation procedures. We show that the interpolants produced via these procedures are unique in some sense and that they are symmetric functions of the points of interpolation. We also show that, under the conditions that guarantee uniqueness, they also reproduce F(z) in case F(z) is a rational function.