ON THE RECIPROCAL THEOREM AND ADJOINT SIMPLETIC ORTHOGONAL RELATION
互等定理与共轭辛正交关系

The paper indicates that the simpletic orthogonal relation among eigenvectors of a Hamiltonian matrix can be derived by the reciprocal theorem of structural mechanics. It also presents the transformation which makes a Jordan-type matrix preserve the structure of a Hamiltonian matrix and proves that suitable arrangement of secondary eigenvectors keeps simpletic orthogonality among them.