This document describes slePc, the Scalable Library for Eigenvalue Problem Computations,
a software package for the solution of large sparse eigenproblems on parallel computers. It …

The many-body simulation of quantum systems is an active field of research that involves
several different methods targeting various computing platforms. Many methods commonly …

Band structure characterizes the most important property of mechanical metamaterials.
However, predicting the band structure of 3D metamaterials with complex microstructures …

The reduced basis method (RBM) generates low-order models of parametrized partial
differential equations. These allow for the efficient evaluation of parametrized models in …

This paper presents a GPU-accelerated implementation of the Locally Optimal Block
Preconditioned Conjugate Gradient (LOBPCG) method with an inexact nullspace filtering …

Certain applications that analyze dam** effects require the solution of quadratic
eigenvalue problems (QEPs). We use refined isogeometric analysis (rIGA) to solve quadratic …

This short article describes the main new features added to SLEPc, the Scalable Library for
Eigenvalue Problem Computations, in the past two and a half years, corresponding to five …

We present the design and implementation of libkrylov, an open‐source library for solving
matrix‐free eigenvalue, linear, and shifted linear equations using Krylov subspace methods …

A subspace method is introduced to solve large-scale trace ratio problems. This approach is
matrix-free, requiring only the action of the two matrices involved in the trace ratio. At each …

We use refined isogeometric analysis (rIGA) to solve generalized Hermitian eigenproblems
(K u= λ M u). rIGA conserves the desirable properties of maximum-continuity isogeometric …