An extended basis inexact shift-invert Lanczos for the efficient solution of large-scale generalized eigenproblems

DOI10.1016/j.cpc.2013.04.006zbMath1344.65044OpenAlexW2037467251MaRDI QIDQ313028

M. Rewieński, M. Mrozowski, A. Lamecki

Publication date: 9 September 2016

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2013.04.006

zbMATH Keywords

multilevel preconditionergeneralized eigenproblemsJacobi orthogonal component correctionPCG solvershift-invert Lanczos

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items

GPU-Accelerated LOBPCG Method with Inexact Null-Space Filtering for Solving Generalized Eigenvalue Problems in Computational Electromagnetics Analysis with Higher-Order FEM

Uses Software

• JDQR
• ARPACK
• JDQZ

Cites Work

• Unnamed Item
• PRIMME
• Multilevel preconditioned iterative eigensolvers for Maxwell eigenvalue problems
• Reliable updated residuals in hybrid Bi-CG methods
• Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method
• ARPACK Users' Guide
• Templates for the Solution of Algebraic Eigenvalue Problems
• A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
• Combination of Jacobi–Davidson and conjugate gradients for the partial symmetric eigenproblem