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中文核心期刊
ON THE RECIPROCAL THEOREM AND ADJOINT SIMPLETIC ORTHOGONAL RELATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(4): 432-437. DOI: 10.6052/0459-1879-1992-4-1995-758
Citation: ON THE RECIPROCAL THEOREM AND ADJOINT SIMPLETIC ORTHOGONAL RELATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(4): 432-437. DOI: 10.6052/0459-1879-1992-4-1995-758

ON THE RECIPROCAL THEOREM AND ADJOINT SIMPLETIC ORTHOGONAL RELATION

  • 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.
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