SLEPc

SLEPc

Stable release	3.1 / 4 August, 2010
Operating system	Linux, Unix, Mac OS X, Windows
Available in	C (main language),C++, FORTRAN
Type	Scientific simulation software
License	LGPL (version 3)
Website	http://www.grycap.upv.es/slepc

SLEPc^[1] is a software library for the parallel computation of eigenvalues and eigenvectors of large, sparse matrices. It can be seen as a module of PETSc that provides solvers for different types of eigenproblems, including linear (standard and generalized) and quadratic, as well as the SVD. It uses the MPI standard for parallelization. Both real and complex arithmetic are supported, with single and double precision.

When using SLEPc, the application programmer can use any of the PETSc's data structures and solvers. Other PETSc features are incorporated into SLEPc as well, such as command-line option setting, automatic profiling, error checking, portability to virtually all computing platforms, etc.

Contents 1 Components 2 References 3 See also 4 External links

Components

EPS provides iterative algorithms for linear eigenvalue problems.

• Krylov methods such as Krylov-Schur, Arnoldi and Lanczos.
• Davidson methods such as Generalized Davidson and Jacobi-Davidson.
• Interface to some external eigensolvers, such as ARPACK and BLOPEX.
• Customization options include: number of wanted eigenvalues, tolerance, size of the employed subspaces, part of the spectrum of interest.

ST encapsulates spectral transformations and other preconditioners for eigenvalue problems.

• Shift-and-invert, Cayley, and folding spectral transformations.
• Support for preconditioned eigensolvers (such as Jacobi-Davidson) by using the preconditioners provided by PETSc.

SVD contains solvers for the singular value decomposition.

• Solvers based on the cross-product matrix or the cyclic matrix, that rely on EPS solvers.
• Specific solvers based on bidiagonalization such as Golub-Kahan-Lanczos and a thick-restarted variant.

QEP is intended for the quadratic eigenvalue problem.

• Solvers based on linearization, that rely on EPS solvers.
• Specific solvers such Q-Arnoldi.

References

See also

• Portable, Extensible Toolkit for Scientific Computation (PETSc)
• List of numerical libraries

External links

• The Official SLEPc web site