Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I. Extreme eigenvalues
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Publication:5741496
DOI10.1090/mcom/3083zbMath1344.65045OpenAlexW2279486887MaRDI QIDQ5741496
Publication date: 25 July 2016
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/mcom/3083
convergence analysisvariational principlenumerical experimentextreme eigenvaluespreconditioned conjugate gradientnonlinear Hermitian eigenproblems
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Preconditioners for iterative methods (65F08)
Related Items (12)
Convergence theory for preconditioned eigenvalue solvers in a nutshell ⋮ Preconditioned Eigensolvers for Large-Scale Nonlinear Hermitian Eigenproblems with Variational Characterizations. II. Interior Eigenvalues ⋮ A Block Preconditioned Harmonic Projection Method for Large-Scale Nonlinear Eigenvalue Problems ⋮ The nonlinear eigenvalue problem ⋮ A rank-exploiting infinite Arnoldi algorithm for nonlinear eigenvalue problems ⋮ Solution of a Nonlinear Eigenvalue Problem Using Signed Singular Values ⋮ The Infinite Bi-Lanczos Method for Nonlinear Eigenvalue Problems ⋮ TRPL+K: Thick-Restart Preconditioned Lanczos+K Method for Large Symmetric Eigenvalue Problems ⋮ On restarting the tensor infinite Arnoldi method ⋮ Preconditioned gradient iterations for the eigenproblem of definite matrix pairs ⋮ Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction ⋮ Nonlinearizing Two-parameter Eigenvalue Problems
Uses Software
Cites Work
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