update_linear_matrix_normal_inverse_wishart_matrix_gaussian

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function update_linear_matrix_normal_inverse_wishart_matrix_gaussian(X:Real[_,_], A:Real[_,_], N:Real[_,_], Λ:LLT, C:Real[_,_], V:LLT, k:Real) -> (Real[_,_], LLT, LLT, Real)

Update the parameters of a Gaussian variate with linear transformation of matrix-normal-inverse-Wishart prior.

• X: The variate.
• A: Scale.
• N: Prior precision times mean matrix.
• Λ: Prior precision.
• C: Offset.
• V: Prior variance shape.
• k: Prior degrees of freedom.

Returns: the posterior hyperparameters N', Λ', V' and k'.