Estimate the simulatneous envelope subspace with specified dimension.
stenvMU(X, Y, q, u)
Predictors. An n by p matrix, p is the number of predictors. The predictors can be univariate or multivariate, discrete or continuous.
Multivariate responses. An n by r matrix, r is the number of responses and n is number of observations. The responses must be continuous variables.
Dimension of the X-envelope. An integer between 0 and p.
Dimension of the Y-envelope. An integer between 0 and r.
The orthonormal basis of the Y-envelope subspace.
The orthonormal basis of the complement of the Y-envelope subspace.
The orthonormal basis of the X-envelope subspace.
The orthonormal basis of the complement of the X-envelope subspace.
The minimized objective function.
This function estimate the simultaneous envelope subspace using an non-Grassmann optimization algorithm.
Cook, R. D., Forzani, L. and Su, Z. (2016) A Note on Fast Envelope Estimation. Journal of Multivariate Analysis. 150, 42-54.