Eigen-decomposition of a matrix H

PCMPLambdaP_1(H)

Arguments

H

a numeric matrix

Value

a list with elements as follows:

lambda

a vector of the eigenvalues of H

P

a squared matrix with column vectors, the eigenvectors of H corresponding to the eigenvalues in lambda

P_1

the inverse matrix of P

.

Details

The function fails with an error message if H is defective, that is, if its matrix of eigenvectors is computationally singular. The test for singularity is based on the rcond function.