matlab - solving least square for matrix instead of vector -

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the problem find z such epsilon(e) (equation 21) minimized.

z mxn matrix need find. zx , zy mxn matrix known already. dx , dy nxn matrix carry out numerical differentiation (see matrix circled in red in photo), known matrix. f denotes 'fobrenius norm', or 'entry-wise norm'.

how solve problem? know how solve least square problem vector, in matrix form , stuck.
enter image description here


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