  In this paper, we present the detailed mathematical derivation of the
gradient and Hessian matrix for the Vora-Value based colorimetric filter
optimization. We make a full recapitulation of the steps involved in
differentiating the objective function and reveal the positive-definite Hessian
matrix when a positive regularizer is applied. This paper serves as a
supplementary material for our paper in the colorimetric filter design theory.
