UprodR function

Creation of an orthogonal matrix

This function returns an orthogonal matrix which results of the matrix products of rotation matrices. latin1

UprodR(theta)

Arguments

• theta: Vector, of angles of the rotation matrices.

Details

The length of theta must be equal to $m * (m - 1) / 2$, where $m$ is the dimension of the orthogonal matrix. The elements of theta must lie in the interval $[0, \pi/2)$.

Returns

• result: Object of class Orthom.

References

Vilenkin, N. Ja. (1968), Special Functions and the Theory of Group Representations, Translations of Mathematical Monographs, 22 , American Math. Soc., Providence, Rhode Island, USA.

Author(s)

Bernhard Pfaff

See Also

Rd2, Orthom

Examples

theta <- c(pi/3, pi/5, pi/7)
U <- UprodR(theta)
U