Thursday, November 8, 2012

1211.1566 (Héctor Moya-Cessa et al.)

Inverse of the Vandermonde and Vandermonde confluent matrices    [PDF]

Héctor Moya-Cessa, Francisco Soto-Eguibar
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 ?nd functions of a matrix, namely exponential functions (evolution operators)and logarithmic functions (entropies) in quantum mechanical topics.
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