Factorizations of confluent Cauchy–Vandermonde matrices

摘要

The confluent Cauchy–Vandermonde matrices are considered, which were studied earlier by various authors in different way. In this paper, we analyze the factorization of the inverse of a special type of confluent Cauchy–Vandermonde matrix as a product of block bidiagonal matrices by using block Neville elimination. Factorizations of confluent Cauchy–Vandermonde matrices are also considered, which generalize the results of [J.J. Martinez, J.M. Pena, Factorizations of Cauchy–Vandermonde matrices, Linear Algebra Appl. 284 (1998) 229–237].