Generalizations of Davidson's method for computing eigenvalues of sparse symmetric matrices
SIAM Journal on Scientific and Statistical Computing
Implicit application of polynomial filters in a k-step Arnoldi method
SIAM Journal on Matrix Analysis and Applications
Algorithm-oriented generic libraries
Software—Practice & Experience
A Jacobi--Davidson Iteration Method for Linear EigenvalueProblems
SIAM Journal on Matrix Analysis and Applications
LAPACK Users' guide (third ed.)
LAPACK Users' guide (third ed.)
Basic Linear Algebra Subprograms for Fortran Usage
ACM Transactions on Mathematical Software (TOMS)
An updated set of basic linear algebra subprograms (BLAS)
ACM Transactions on Mathematical Software (TOMS)
C++ Templates
SIAM Journal on Scientific Computing
A Block Orthogonalization Procedure with Constant Synchronization Requirements
SIAM Journal on Scientific Computing
A Krylov--Schur Algorithm for Large Eigenproblems
SIAM Journal on Matrix Analysis and Applications
Salinas: a scalable software for high-performance structural and solid mechanics simulations
Proceedings of the 2002 ACM/IEEE conference on Supercomputing
An overview of the Trilinos project
ACM Transactions on Mathematical Software (TOMS) - Special issue on the Advanced CompuTational Software (ACTS) Collection
Journal of Computational Physics
Trust-Region Methods on Riemannian Manifolds
Foundations of Computational Mathematics
Dynamical Systems and Non-Hermitian Iterative Eigensolvers
SIAM Journal on Numerical Analysis
PRIMME: preconditioned iterative multimethod eigensolver—methods and software description
ACM Transactions on Mathematical Software (TOMS)
Fast eigenvalue calculations in a massively parallel plasma turbulence code
Parallel Computing
ParaText: scalable text modeling and analysis
Proceedings of the 19th ACM International Symposium on High Performance Distributed Computing
Euro-Par'10 Proceedings of the 16th international Euro-Par conference on Parallel processing: Part II
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 scalable eigensolver for large scale-free graphs using 2D graph partitioning
Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis
Computers & Mathematics with Applications
Matrix-free continuation of limit cycles for bifurcation analysis of large thermoacoustic systems
Journal of Computational Physics
Journal of Computational Physics
Scalable matrix computations on large scale-free graphs using 2D graph partitioning
SC '13 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis
A fast multigrid-based electromagnetic eigensolver for curved metal boundaries on the Yee mesh
Journal of Computational Physics
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)
Design considerations for a flexible multigrid preconditioning library
Scientific Programming
PyTrilinos: Recent advances in the Python interface to Trilinos
Scientific Programming
Tpetra, and the use of generic programming in scientific computing
Scientific Programming - A New Overview of the Trilinos Project --Part 1
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Anasazi is a package within the Trilinos software project that provides a framework for the iterative, numerical solution of large-scale eigenvalue problems. Anasazi is written in ANSI C++ and exploits modern software paradigms to enable the research and development of eigensolver algorithms. Furthermore, Anasazi provides implementations for some of the most recent eigensolver methods. The purpose of our article is to describe the design and development of the Anasazi framework. A performance comparison of Anasazi and the popular FORTRAN 77 code ARPACK is given.