MFEM is an open-source, lightweight, flexible and scalable C++ library for modular finite
element methods that features arbitrary high-order finite element meshes and spaces …

Routine applications of electronic structure theory to molecules and periodic systems need
to compute the electron density from given Hamiltonian and, in case of non-orthogonal basis …

We propose a distributed-memory parallel algorithm for computing some of the algebraically
smallest eigenvalues (and corresponding eigenvectors) of a large, sparse, real symmetric …

Abstract The Normal Mode Analysis (NMA) is a standard approach to elucidate the
anisotropic vibrations of macromolecules at their folded states, where low-frequency …

The sparse triangular matrix solve (SpTrSV) is an important computation kernel that is
demanded by a variety of numerical methods such as the Gauss-Seidel iterations. However …

A Journey through the History of Numerical Linear Algebra: Back Matter Page 1 Bibliography
[1] A. Abdelfattah, H. Anzt, A. Bouteiller, A. Danalis, JJ Dongarra, M. Gates, A. Haidar, J. Kurzak …

The cumulative empirical spectral measure (CESM) $\Phi [\mathbf {A}]:\mathbb {R}\to [0, 1] $
of a $ n\times n $ symmetric matrix $\mathbf {A} $ is defined as the fraction of eigenvalues of …

We present a new sublinear time algorithm for approximating the spectral density
(eigenvalue distribution) of an n× n normalized graph adjacency or Laplacian matrix. The …

The numerical simulation of modern engineering problems can easily incorporate millions or
even billions of unknowns. In several applications, sparse linear systems with symmetric …

Matrix functions are a central topic of linear algebra, and problems requiring their numerical
approximation appear increasingly often in scientific computing. We review various limited …