A generalization of the two-by-two rotation technique is proposed, permitting a whole row (column) of the matrix to be treated simultaneously. The method is based on the explicit analytical evaluation of the matrix exponent representing a symmetric combination of the individual rotations. Besides constructing the unitary transformation matrices, a new orthogonalization algorithm is also proposed. The resulting "unitary perturbation theory" and orthogonalization method may be useful in different areas.
- Perturbation theory
- Two-by-two rotations
- Unitary transformations
ASJC Scopus subject areas
- Physical and Theoretical Chemistry