Interpolating Log-Determinant and Trace of the Powers of Matrix $\mathbf{A}+t\mathbf{B}$

Siavash Ameli, Shawn C. Shadden

We develop heuristic interpolation methods for the functions $t\mapsto \log \det \left(\mathbf{A}+t\mathbf{B}\right)$ and $t \mapsto \operatorname{trace}\left( (\mathbf{A} +…