Although the algorithm can be modified for Hermitian matrices, we do not give the details here.
An Hermitian matrix is positive definite if all its eigenvalues are positive.
This was extended by Hermite in 1855 to what are now called Hermitian matrices.
As for Hermitian matrices, the key point is to prove the existence of at least one nonzero eigenvector.
If the absorption losses can be neglected, ε is a Hermitian matrix.
Any set of Hermitian matrices which obey these relations qualifies.
A real and symmetric matrix is simply a special case of a Hermitian matrix.
A similar result holds for Hermitian centrosymmetric and skew-centrosymmetric matrices.
Note that the span all traceless Hermitian matrices as required.
Begin by choosing some value as an initial eigenvalue guess for the Hermitian matrix .