A Parallel Implementation of the Jacobi-Davidson Eigensolver for Unsymmetric Matrices

DOI10.1007/978-3-642-19328-6_35zbMath1323.65132OpenAlexW1541515393MaRDI QIDQ3081377

Eloy Romero, Manuel B. Cruz, Jose E. Roman, Paulo B. Vasconcelos

Publication date: 8 March 2011

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-19328-6_35

zbMATH Keywords

Jacobi-Davidsoneigenvalue computationsmessage-passing parallel computing

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Parallel numerical computation (65Y05) Packaged methods for numerical algorithms (65Y15)

Related Items

A Fast Hierarchically Preconditioned Eigensolver Based on Multiresolution Matrix Decomposition

Uses Software

• SLEPc
• JADAMILU
• PETSc
• JDQR
• PRIMME
• Anasazi
• JDQZ

Cites Work

• PRIMME
• JADAMILU: a software code for computing selected eigenvalues of large sparse symmetric matrices
• Computing interior eigenvalues of large matrices
• Efficient expansion of subspaces in the Jacobi-Davidson method for standard and generalized eigenproblems
• Anasazi software for the numerical solution of large-scale eigenvalue problems
• Computing a partial generalized real Schur form using the Jacobi–Davidson method
• SLEPc
• Controlling Inner Iterations in the Jacobi–Davidson Method
• A Jacobi--Davidson Iteration Method for Linear Eigenvalue Problems
• A Parallel Jacobi--Davidson-type Method for Solving Large Generalized Eigenvalue Problems in Magnetohydrodynamics
• Templates for the Solution of Algebraic Eigenvalue Problems
• Approximate solutions and eigenvalue bounds from Krylov subspaces