When simulating a mechanism from science or engineering, or an industrial process, one is
frequently required to construct a mathematical model, and then resolve this model …

We propose a new algorithm for calculation of vibrational spectra of molecules using tensor
train decomposition. Under the assumption that eigenfunctions lie on a low-parametric …

The article presents an efficient solution method for structural topology optimization aimed at
maximizing the fundamental frequency of vibration. Nowadays, this is still a challenging …

Abstract CG, MINRES, and SYMMLQ are Krylov subspace methods for solving large
symmetric systems of linear equations. CG (the conjugate-gradient method) is reliable on …

In this paper we study inexact inverse iteration for solving the generalised eigenvalue
problem A x= λ M x. We show that inexact inverse iteration is a modified Newton method and …

A procedure is presented for finding a number of the smallest eigenvalues and their
associated eigenvectors of large sparse Hermitian matrices. The procedure, a modification …

In this paper, we consider the computation of an eigenvalue and the corresponding
eigenvector of a large sparse Hermitian positive-definite matrix using inexact inverse …

We study inexact subspace iteration for solving generalized non-Hermitian eigenvalue
problems with spectral transformation, with focus on a few strategies that help accelerate …

The application of eigenvalue theory to dual quaternion Hermitian matrix holds significance
in the realm of multi-agent formation control. In this paper, we focus on the numerical …

We study the convergence and optimality of the inverse iteration where the intermediate
problems are solved only approximately. In particular we are interested in finding an …