Finally, we have that minimum value of the Hamiltonian subject to the spherical constraint is the minimum eigenvalue of the repelling Laplacian. This minimum is a global minimum for the system defined in Eq. (3) with the spherical constraint, and the associated one-dimensional embedding is ...
Dissipative systems provide a strong link between physics, system theory, and control engineering. Dissipativity is first explained in the classical settin... JC Willems - 《European Journal of Control》 被引量: 1424发表: 2007年 Dissipative dynamical systems I: General theory. II: Linear systems ...
Let be an eigenvalue of having algebraic multiplicity equal to . Let be the generalized eigenspace associated to . Then, the dimension of is . ProofSolved exercisesBelow you can find some exercises with explained solutions. Exercise 1In an example above we have found two generalized eigenvectors ...
gradient flow, SIAM J. Sci. Comput. 25 (2004) 1674-1697] or the damped inverse iteration suggested in [P. Henning and D. Peterseim, Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem: Global convergence and computational efficiency, SIAM J. Numer. Anal. 58 (2020) 1744-1772...
Quasi-sparse eigenvector diagonalization and stochastic error correction 文档格式: .pdf 文档大小: 67.78K 文档页数: 5页 顶/踩数: 0/0 收藏人数: 0 评论次数: 0 文档热度: 文档分类: 待分类 文档标签: Quasi-sparseeigenvectordiagonalizationandstochasticerrorcorrection ...
The function relation has been detected between MC value for a mapped eigenvector and its corresponding eigenvalue as follows: MCj = n 1TC1 λj (3) Based upon these properties, the eigenvectors can be interpreted as follows: The first eigenvector E1 is the set of real numbers that has ...