English

Inverse of the Vandermonde and Vandermonde confluent matrices

Mathematical Physics 2016-11-26 v1 math.MP

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.

Keywords

Cite

@article{arxiv.1211.1566,
  title  = {Inverse of the Vandermonde and Vandermonde confluent matrices},
  author = {Héctor Moya-Cessa and Francisco Soto-Eguibar},
  journal= {arXiv preprint arXiv:1211.1566},
  year   = {2016}
}

Comments

Published as: Applied Mathematics and Information Sciences 5(3) (2011), 361-366