On symplectic self-adjointness of Hamiltonian operator matrices
On symplectic self-adjointness of Hamiltonian operator matrices
复制标题
哈密顿算子矩阵的辛自共轭性
DOI：
10.1007/s11425-014-4876-1
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发表时间：
2015
影响因子：
1.4
通讯作者：
Wu Deyu
中科院分区：
文献类型：
--
作者：
Chen Alatancang;Jin GuoHai;Wu Deyu
研究了哈密顿算子矩阵的辛自共轭性，这对于辛弹性和最优控制具有重要意义。对于对角域和非对角域的情况，给出了充要条件。该证明使用无界算子矩阵的 Frobenius-Schur 分解。在附加假设下，获得了基于摄动法的充分条件。该理论应用于辛弹性问题。
Symplectic self-adjointness of Hamiltonian operator matrices is studied, which is important to symplectic elasticity and optimal control. For the cases of diagonal domain and off-diagonal domain, necessary and sufficient conditions are shown. The proofs use Frobenius-Schur factorizations of unbounded operator matrices. Under additional assumptions, sufficient conditions based on perturbation method are obtained. The theory is applied to a problem in symplectic elasticity.