Could anyone help me with the Jacobian of:
Given the following Matrices: ${E}^{1}, {A}^{21}, {A}^{22}, {C}^{1}, {A}^{12}$
$ F \left( {C}^{2}, {E}^{2} \right) = {\left \| {C}^{2}{E}^{1} - {A}^{21} \right \|}_{F}^{2} + {\left \| {C}^{2}{E}^{2} - {A}^{22} \right \|}_{F}^{2} + {\left \| {C}^{1}{E}^{2} - {A}^{12} \right \|}_{F}^{2} $
Pay attention to the Frobenius Norm and that all items are matrices.
Moreover, what if I want to calculate the Jacobian in resopect to every component of $ {C}^{2} $ and $ {E}^{2} $? For instance, what would be the derivative of $ {\left \| {C}^{2}{E}^{1} - {A}^{21} \right \|}_{F}^{2} $ relative to $ {C}^{2}_{1, 1} $?
Thank You.
