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Factorizations of Cauchy-Vandermonde matrices

✍ Scribed by J.J. Martínez; J.M. Peña

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
475 KB
Volume
284
Category
Article
ISSN
0024-3795

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✦ Synopsis

This Paper analyzes the factorization of the inverse of a Cauchy-Vandermonde matrix as a product of bidiagonal matrices. Factorizations of Cauchy-Vandermonde matrices are also considered. The results are applied to derive a fast algorithm for solving linear Systems whose coefficient matrices are Cauchy-Vandermonde matrices.

📜 SIMILAR VOLUMES

Generalized-confluent Cauchy and Cauchy–
Generalized-confluent Cauchy and Cauchy–Vandermonde matrices
✍ Zheng-Hong Yang; Gong-Ning Chen 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 235 KB

The so-called Generalized-Confluent Cauchy-Vandermonde (GCCV) matrices of the form [C,V] consisting of a generalized-confluent Cauchy part C and a generalized-confluent Vandermonde part V are considered. A simple relationship between GCCV and classical confluent Cauchy-Vandermonde (CCV) matrices is