Shell-model calculations play a key role in elucidating various properties of nuclei. In general, those studies require huge number to be repeated for parameter calibration and quantifying uncertainties. To reduce the computational burden, we propose new workflow shell-model using method called eigenvector continuation (EC). It enables us efficiently approximate eigenpairs under given Hamiltoni...

In this work, we present a novel approach to analyze crowd behavior at various levels of granularity − individual, group and global. We first model the collective motion of the agents present in the scene by a first order dynamical system. The model learns the spatio-temporal interaction pattern of the crowd which is further analyzed for group detection. The groups are identifiable from the eig...

In this paper a new simplified method of stability study dynamical nonlinear systems is proposed as an alternative to using Lyapunov’s method. Like the Lyapunov theorem, concept describes sufficient condition for be globally stable. The based on assumption that, not only state matrix contains information systems, but also eigenvectors. So, first we will write model in state-space representation...

We propose a new algorithm for the symmetric eigenproblem that computes eigenvalues and eigenvectors with high relative accuracy for the largest class of symmetric, definite and indefinite, matrices known so far. The algorithm is divided into two stages: the first one computes a singular value decomposition (SVD) with high relative accuracy, and the second one obtains eigenvalues and eigenvecto...