We present a conjectural formula for the principal minors and the characteristic polynomial of Gross’s regulator matrix associated to a totally odd character of a totally real field. The formula is ...

A simple formula is established that relates the trace of the resolvent with the characteristic polynomial of a matrix. This will lead to a novel and elegant proof of the recursive relations that ...

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most challenging tasks in numerical ...