Is there any function to calculate the p-Schatten norm of a matrix?

Question

For $p \in [1, \infty)$, the $p$-Schatten norm of a matrix $A$ is defined as $\|A\|_p = Tr(\left|A\right|^p)^{\frac{1}{p}}$, where $\left|A\right| = (A^* A)^{\frac{1}{2}}$. Is there any function to calculate those norms?

Answer 1

Total[SingularValueList[A]^p]^(1/p)

or

Power[Tr[MatrixPower[A\[Transpose] . A, p/2]], 1/p]