In order to carry out numerical computation

Formulation of one dimensional cubic spline interpolation
Rewriting these K-252c equations in a compact matrix form, we haveequation(10)XV″=YV,XV″=YV,where V and V''V'' are the N × 1 matrices composed of Vα   and Vα″ respectively. XX and YY are N × N   tri-diagonal matrices. Then the solution for V''V'' is given byequation(11)V″=FV,V″=FV,whereequation(12)F=X-1Y.F=X-1Y.