adjoint determinant
- adjoint determinant的基本解释
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伴随行列式
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In this paper,a systematic direct perturbation method of dark solitons is found.Having analyzed the mistakes in earlier works on perturbation method for dark solitonsand essence of the direct perturbation method for bright solitons,we notice that to in-troduce the adjoint solutions of the squared Jost solutions and to prove the completenessare crucial to the problem.Giving up the unnecessary scheme of introducing the adjointoperator in the bright soliton case,we directly find the adjoint solutions by meetingthe demand for the orthogonality that inner product of the squared Jost solutions andits adjoint should be proportional to a δ function in the case of continuous spectra.The corresponding adjoint operator is thus found.Taking into account the reductiontransformation,we find a correct description for the completeness of the squared Jostsolutions and directly verify its validity with explicit expressions of the squared Jostsolutions.
本论文建立了系统的暗孤子直接微扰方法,在对前人关于暗孤子微扰方法的错误以及亮孤子直接微扰方法的本质作了充分的分析后,认识到引入平方Jost解的伴随解和证明完备性是问题的关键,撇开过去亮孤子情况首先引入伴随算子的非必要作法,直接从平方Jost解与其伴随解的内积在连续谱时正比于δ函数这一正交性要求出发,找出了伴随解,同时得出了应有的伴随算子,在考虑到约化变换性后,得到了暗孤子情况的平方Jost解的完备性的正确表述,并在单个暗孤子的情况利用平方Jost解的显式直接验证了它的正确性。
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In this paper, the determinant and adjoint for a lattice matrix are studied, and some properties of the determinant and adjoint for lattice matrices are given.
研究了格矩阵的行列式与伴随矩阵,给出了它们的一些代数性质,同时给出了由一个格矩阵构造一个传递矩阵的方法。
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How to establish the adjoint medel is discussed by using the Gateaux differential of function and the concepts of the adjoint operators in Hibert space. At the same time it is verified that selecting proper finite difference scheme can ensure discrete form remaining the same adjoint r...
文中利用泛函的Gateaux微分和Hilbert空间上伴随算子的概念讨论了连续的伴随模型的建立,并通过选择适当的差分格式离散伴随模型,使其保持连续时的伴随关系,同时给出了水温初始场最优化过程及相应的同化试验数值结果。
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adjoint determinant:伴随行列式
adjoint boundary value problem 伴随边值问题 | adjoint determinant 伴随行列式 | adjoint difference equation 伴随差分方程