The program Matrix Cascade Equation is a numerical solver of the discrete form of the cascade equation
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![\frac{\rm{d}}{\mathrm{d}X}\boldsymbol{\Phi} = \left[(-\boldsymbol{1} + \boldsymbol{C}){\boldsymbol{\Lambda}}_{int} + \frac{1}{\rho(X)}(-\boldsymbol{1} + \boldsymbol{D})\boldsymbol{\Lambda}_{dec}\right]\boldsymbol{\Phi}.](_images/math/caacdb86392748b60c591611c41199e71792c1c5.png)