# SLEPc: Scalable Library for Eigenvalue Problem Computations

Authors: Jose E. Roman Carmen Campos Eloy Romero Andres Tomas Universitat Politecnica de Valencia, Spain http://slepc.upv.es slepc-maint@upv.es

## Overview

SLEPc, the Scalable Library for Eigenvalue Problem Computations, is a software package for the solution of large sparse eigenvalue problems on parallel computers. It can be used for the solution of problems formulated in either standard or generalized form, as well as other related problems such as the singular value decomposition and the nonlinear eigenproblem.

The emphasis of the software is on methods and techniques appropriate for problems in which the associated matrices are sparse. Therefore, most of the methods offered by the library are projection methods such as Krylov-Schur or Jacobi-Davidson. It also provides built-in support for spectral transformation such as shift-and-invert.

SLEPc is built on top of PETSc the Portable Extensible Toolkit for Scientific Computation. It can be considered an extension of PETSc providing all the functionality necessary for the solution of eigenvalue problems.

## Documentation

The Users Manual as well as the HTML man pages for the detailed reference of each individual SLEPc routines are included in the SLEPc distribution and can also be found at the SLEPc online documentation.

The main reference for SLEPc is the following paper (see other references at the SLEPc website):

• V. Hernandez, J. E. Roman, and V. Vidal, SLEPc: A Scalable and Flexible Flexible Toolkit for the Solution of Eigenvalue Problems, ACM Trans. Math. Softw. 31, pp. 351-362 (2005). [DOI]

## Installation

The installation procedure of SLEPc is very similar to that of PETSc. Briefly, the environment variables $SLEPC_DIR and$PETSC_DIR must be set, then the script configure is executed and finally the libraries are built with the command make. More details can be found in the Users Manual or in the online installation instructions.

## Funding

The development of SLEPc has been partially supported by the following grants:

• Oficina de Ciencia i Tecnologia, Generalitat Valenciana, CTIDB/2002/54.
• Direccio General d'Investigacio i Transferencia de Tecnologia, Generalitat Valenciana, GV06/091.
• Ministerio de Ciencia e Innovacion, TIN2009-07519.
• Ministerio de Economia y Competitividad, TIN2013-41049-P.

## Conditions of Use

Copyright (c) 2002-2016, Universitat Politecnica de Valencia, Spain

SLEPc is free software: you can redistribute it and/or modify it under the terms of version 3 of the GNU Lesser General Public License as published by the Free Software Foundation.

SLEPc is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details.

You should have received a copy of the GNU Lesser General Public License along with SLEPc. If not, see <http://www.gnu.org/licenses/>.