theta2W {steadyICA}

Convert angles to an orthogonal matrix.

Description

Convert d*(d-1)/2 angles from a sequence of Givens rotations to a d x d orthogonal matrix.

Usage

theta2W(theta)

Arguments

theta

A scalar or vector of length d*(d-1)/2 of values from which the d x d orthogonal matrix is calculated.

Value

A d x d orthogonal matrix resulting from the sequence of d*(d-1)/2 Givens rotation matrices.

Author(s)

David S. Matteson

References

Golub, G. & Van Loan, C. 1996. Matrix computations. Johns Hopkins University Press.

See Also

W2theta

Examples

#Generate orthogonal matrix:
mat <- matrix(rnorm(9),3,3)
W = svd(mat)$u

theta <- W2theta(W)

#Recovers W:
theta2W(theta)