dr (version 1.0.2)

givens.rotation: Create givens rotation matrix

Description

For a given angle theta, returns a p by p Givens rotation matrix.

Usage

givens.rotation(theta, p=2, which=c(1, 2))

Arguments

theta

an angle in radians

p

the dimension of the matrix to be produced

which

two numbers between 1 and p giving the columns/rows for the nonzero elements of the result.

Value

• Returns a p by p matrix z of all zeroes, except z[which,which] has elements cos(theta), -sin(theta), sin(theta) and cos(theta), in column order.

References

Gene H. Golub and Charles F. Van Loan (1989). Matrix Computations, Second Edition. Baltimore: Johns Hopkins Press, p. 202.

Examples

givens.rotation(1,4,c(1,3))