gogarch (version 0.7-0)

UprodR: Creation of an orthogonal matrix

Description

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

Usage

UprodR(theta)

Arguments

theta

Vector, of angles of the rotation matrices.

Value

• result
  Object of class Orthom.

encoding

latin1

concept

Orthogonal Matrix

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 $[0, \pi/2)$.

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.

See Also

Rd2, Orthom

Examples

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