steadyICA (version 1.0)

W2theta: Convert an orthogonal matrix to its angular parameterization.

Description

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

Usage

W2theta(W)

Arguments

W

A d x d orthogonal matrix.

Value

• A vector of length d*(d-1)/2 comprised of the angles.

Details

A d x d orthogonal matrix can be decomposed into a series of d*(d-1)/2 Givens rotation matrices, where each matrix is parameterized by a single angle.

References

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

See Also

theta2W

Examples

theta = c(pi/6,pi/4,pi/2)

(W = theta2W(theta))

#Recover theta:
W2theta(W)