Fast algorithms for Cauchy-Vandermonde matrices with multiple poles

Jose Javier Martinez; Juan Manuel Pena

doi:10.1117/12.367653

2 November 1999 Fast algorithms for Cauchy-Vandermonde matrices with multiple poles

Jose Javier Martinez, Juan Manuel Pena

Proceedings Volume 3807, Advanced Signal Processing Algorithms, Architectures, and Implementations IX; (1999) https://doi.org/10.1117/12.367653
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

Cauchy-Vandermonde matrices are related with rational interpolation problems. In this paper we consider the general case in which multiple poles can appear. Fast algorithms for solving the corresponding linear systems are presented. Some results on the total positivity of these matrices and other related matrices are included.

Citation Download Citation

Jose Javier Martinez and Juan Manuel Pena "Fast algorithms for Cauchy-Vandermonde matrices with multiple poles", Proc. SPIE 3807, Advanced Signal Processing Algorithms, Architectures, and Implementations IX, (2 November 1999); https://doi.org/10.1117/12.367653

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