✦ LIBER ✦

A note on matrix-valued rational interpolants

✍ Scribed by Gong-Qin Zhu; Jie-Qing Tan

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 192 KB
Volume: 110
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(99)00203-4

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, by deÿning a kind of transformation from matrix to vector, we succeed in transferring some results on vector-valued rational interpolants to those corresponding to the matrix-valued rational interpolants. Moreover, it is pointed out through a numerical example that the statement of the so-called uniqueness theorem in [4] is incorrect and, what is more, the proof is also wrong. A new uniqueness theorem is given.

📜 SIMILAR VOLUMES

Bivariate Thiele-type matrix-valued rati

Bivariate Thiele-type matrix-valued rational interpolants

✍ Gu Chuanqing 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 736 KB

A new method for the construction of bivariate matrix-valued rational interpolants on a rectangular grid is introduced in this paper. The rational interpolants are of the continued fraction form, with scalar denominator. In this respect the approach is essentially different from that of where a ra

On a moment problem for rational matrix-

On a moment problem for rational matrix-valued functions

✍ Bernd Fritzsche; Bernd Kirstein; Andreas Lasarow 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 276 KB

The papers deals with a finite moment problem for rational matrix-valued functions. We present a necessary and sufficient condition for the solvability of the problem. In the nondegenerate case we construct a particular solution which has interesting extremal properties.

Orthogonal rational matrix-valued functi

Orthogonal rational matrix-valued functions on the unit circle

✍ Bernd Fritzsche; Bernd Kirstein; Andreas Lasarow 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 391 KB

## Abstract This paper contains first steps towards a Szegö theory of orthogonal rational matrix‐valued functions on the unit circle 𝕋. Hereby we are guided by former work of Bultheel, González‐Vera, Hendriksen, and Njåstad on scalar orthogonal rational functions on the one side and by investigatio

Technical Note: On a rational approach t

Technical Note: On a rational approach to extreme value analysis

✍ Arvid Naess 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 218 KB

Laurent interpolation for rational matri

Laurent interpolation for rational matrix functions and a local factorization principle

✍ AndréC.M Ran; Leiba Rodman 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 828 KB

A note on valued division algebras

✍ Joachim Gräter 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 413 KB