Anasazi is an extensible and interoperable framework for large-scale eigenvalue algorithms. The motivation for this framework is to provide a generic interface to a collection of algorithms for solving large-scale eigenvalue problems. Anasazi is interoperable because both the matrix and vectors (defining the eigenspace) are considered to be opaque objects---only knowledge of the matrix and vectors via elementary operations is necessary. An implementation of Anasazi is accomplished via the use of interfaces. Current interfaces available include Epetra and so any libraries that understand Epetra matrices and vectors (such as AztecOO) may also be used in conjunction with Anasazi. One of the goals of Anasazi is to allow the user the flexibility to specify the data representation for the matrix and vectors and so leverage any existing software investment. The algorithms that are currently available through Anasazi are block Krylov-Schur, block Davidson, and locally-optimal block preconditioned conjugate gradient (LOBPCG) method.

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  1. Huang, Tsung-Ming; Lin, Wen-Wei; Mehrmann, Volker: A Newton-type method with nonequivalence deflation for nonlinear eigenvalue problems arising in photonic crystal modeling (2016)
  2. Kestyn, James; Polizzi, Eric; Tang, Ping Tak Peter: Feast eigensolver for non-Hermitian problems (2016)
  3. Li, Ruipeng; Xi, Yuanzhe; Vecharynski, Eugene; Yang, Chao; Saad, Yousef: A thick-restart Lanczos algorithm with polynomial filtering for Hermitian eigenvalue problems (2016)
  4. Andrzejewski, Janusz: On optimizing Jacobi-Davidson method for calculating eigenvalues in low dimensional structures using eight band $\boldk\cdot\boldp$ model (2013)
  5. Bauer, Carl A.; Werner, Gregory R.; Cary, John R.: A fast multigrid-based electromagnetic eigensolver for curved metal boundaries on the Yee mesh (2013)
  6. De Sterck, Hans: A self-learning algebraic multigrid method for extremal singular triplets and eigenpairs (2012)
  7. Romero, Eloy; Cruz, Manuel B.; Roman, Jose E.; Vasconcelos, Paulo B.: A parallel implementation of the Jacobi-Davidson eigensolver for unsymmetric matrices (2011)
  8. Roman, Jose E.; Kammerer, Matthias; Merz, Florian; Jenko, Frank: Fast eigenvalue calculations in a massively parallel plasma turbulence code (2010)
  9. Heroux, Michael A.; Bartlett, Roscoe A.; Howle, Vicki E.; Hoekstra, Robert J.; Hu, Jonathan J.; Kolda, Tamara G.; Lehoucq, Richard B.; Long, Kevin R.; Pawlowski, Roger P.; Phipps, Eric T.; Salinger, Andrew G.; Thornquist, Heidi; Tuminaro, Ray S.; Willenbring, James M.; Williams, Alan; Stanley, Kendall S.: An overview of the Trilinos project. (2005)