Condition: all the matrices are complex. $\dagger$ denotes the conjugate transpose, $*$ denotes the conjugate, $\mathop{Trace}$ denote the trace of a matrix. What is the differentiations of the following Lagrangian function respect to $X^*$: $L(X,\lambda) = \mathop{Trace}(XH)+\lambda \mathop{Trace}(X^{\dagger}X)$
2026-03-28 12:32:15.1774701135
The differentiation of the trace of complex matrix
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