Understanding search engines: mathematical modeling and text retrieval
Understanding search engines: mathematical modeling and text retrieval
Templates for the solution of algebraic eigenvalue problems: a practical guide
Templates for the solution of algebraic eigenvalue problems: a practical guide
Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems
SIAM Journal on Matrix Analysis and Applications
SIPs: Shift-and-invert parallel spectral transformations
ACM Transactions on Mathematical Software (TOMS)
Hessian-Based Model Reduction for Large-Scale Data Assimilation Problems
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
ECML PKDD '08 Proceedings of the European conference on Machine Learning and Knowledge Discovery in Databases - Part II
A Parallel Implementation of the Trace Minimization Eigensolver
High Performance Computing for Computational Science - VECPAR 2008
Parallel Eigensolvers for a Discretized Radiative Transfer Problem
High Performance Computing for Computational Science - VECPAR 2008
Numerical exploration of vortex matter in Bose-Einstein condensates
Mathematics and Computers in Simulation
PRIMME: preconditioned iterative multimethod eigensolver—methods and software description
ACM Transactions on Mathematical Software (TOMS)
Journal of Computational Physics
VECPAR'06 Proceedings of the 7th international conference on High performance computing for computational science
Fast eigenvalue calculations in a massively parallel plasma turbulence code
Parallel Computing
Preconditioning bandgap eigenvalue problems in three-dimensional photonic crystals simulations
Journal of Computational Physics
Taming computational complexity: efficient and parallel simrank optimizations on undirected graphs
WAIM'10 Proceedings of the 11th international conference on Web-age information management
Euro-Par'10 Proceedings of the 16th international Euro-Par conference on Parallel processing: Part II
Robust Positive semidefinite L-Isomap Ensemble
Pattern Recognition Letters
Optimal Partitions for Eigenvalues
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
A parallel implementation of the Jacobi-Davidson eigensolver for unsymmetric matrices
VECPAR'10 Proceedings of the 9th international conference on High performance computing for computational science
A priori mesh quality metric error analysis applied to a high-order finite element method
Journal of Computational Physics
A scalable eigensolver for large scale-free graphs using 2D graph partitioning
Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis
SIAM Journal on Scientific Computing
Structural and Multidisciplinary Optimization
SMI 2012: Full Spectral computations on nontrivial line bundles
Computers and Graphics
Strategies for spectrum slicing based on restarted Lanczos methods
Numerical Algorithms
Compact and Stable Discontinuous Galerkin Methods for Convection-Diffusion Problems
SIAM Journal on Scientific Computing
Eigenvalue computations in the context of data-sparse approximations of integral operators
Journal of Computational and Applied Mathematics
Efficient evaluation of the direct and adjoint linearized dynamics from compressible flow solvers
Journal of Computational Physics
Advances in Engineering Software
Computers & Mathematics with Applications
Presto: distributed machine learning and graph processing with sparse matrices
Proceedings of the 8th ACM European Conference on Computer Systems
Journal of Scientific Computing
SMI 2013: Laplacians on flat line bundles over 3-manifolds
Computers and Graphics
Towards effective clustering techniques for the analysis of electric power grids
HiPCNA-PG '13 Proceedings of the 3rd International Workshop on High Performance Computing, Networking and Analytics for the Power Grid
A parallel implementation of Davidson methods for large-scale eigenvalue problems in SLEPc
ACM Transactions on Mathematical Software (TOMS)
Advances in Engineering Software
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The Scalable Library for Eigenvalue Problem Computations (SLEPc) is a software library for computing a few eigenvalues and associated eigenvectors of a large sparse matrix or matrix pencil. It has been developed on top of PETSc and enforces the same programming paradigm.The emphasis of the software is on methods and techniques appropriate for problems in which the associated matrices are sparse, for example, those arising after the discretization of partial differential equations. Therefore, most of the methods offered by the library are projection methods such as Arnoldi or Lanczos, or other methods with similar properties. SLEPc provides basic methods as well as more sophisticated algorithms. It also provides built-in support for spectral transformations such as the shift-and-invert technique. SLEPc is a general library in the sense that it covers standard and generalized eigenvalue problems, both Hermitian and non-Hermitian, with either real or complex arithmetic.SLEPc can be easily applied to real world problems. To illustrate this, several case studies arising from real applications are presented and solved with SLEPc with little programming effort. The addressed problems include a matrix-free standard problem, a complex generalized problem, and a singular value decomposition. The implemented codes exhibit good properties regarding flexibility as well as parallel performance.