Generate eigenvalues of precision matrix Q on the surface of a sphere.

The eigenvalues of the precision matrix Q with dimension (mm, nn) and polar angle limits phimin, phimax are calculated.

eigenQsphere(phimin, phimax, mm, nn)

Arguments

phimin	Polar angle minimum.
phimax	Polar angle maximum.
mm	Number of rows of precision matrix Q.
nn	Number of columns of precision matrix Q.

Value

A list containing 2 elements:

• eigval Row vector containing the eigenvalues of Q.

• eigvec Matrix containing the eigenvectors of Q as columns.

Details

The corresponding function for data on a grid is eigenLaplace.

Examples

eig_out <- eigenQsphere(phimin = 180/10, phimax = 180 - 180/10, mm = 10, nn = 20)