Inverse of the Vandermonde and Vandermonde confluent matrices
arXiv:1211.1566
Abstract
The inverse of the Vandermonde and confluent Vandermonde matrices are presented. In the case of the Vandermonde matrix, we present a decomposition in three factors, one of them a diagonal matrix. The evaluation of such inverse matrices is a key point to find functions of a matrix, namely exponential functions (evolution operators)and logarithmic functions (entropies) in quantum mechanical topics.
arXiv commentPublished as: Applied Mathematics and Information Sciences 5(3) (2011), 361-366