In this paper, we introduce interval tensors and present some results about their
eigenvalues, positive definiteness and application in solving multi-linear systems. It is …

We present a new computational approach for a class of large-scale nonlinear eigenvalue
problems (NEPs) that are nonlinear in the eigenvalue. The contribution of this paper is …

SLEPc is a parallel library for the solution of various types of large-scale eigenvalue
problems. Over the past few years, we have been developing a module within SLEPc, called …

We consider linear parameterized systems A(μ)x(μ)=b for many different μ, where A is large
and sparse and depends nonlinearly on μ. Solving such systems individually for each μ …

We propose a two-sided Lanczos method for the nonlinear eigenvalue problem (NEP). This
two-sided approach provides approximations to both the right and left eigenvectors of the …

We investigate a technique to transform a linear two-parameter eigenvalue problem into a
nonlinear eigenvalue problem (NEP). The transformation stems from an elimination of one of …

In this paper, we introduce two new schemes based on the global Hessen-berg processes
for computing approximate solutions to low-rank Sylvester tensor equations. We first …

Linear algebra is present across all sciences as its elementary and elegant theory is often
the basis of scientific calculations. Problems such as eigenvalue and singular value …