Global convergence of the restarted Lanczos and Jacobi-Davidson methods for symmetric eigenvalue problems

DOI10.1007/s00211-015-0699-4zbMath1325.65050OpenAlexW2087959096MaRDI QIDQ500356

Kensuke Aishima

Publication date: 2 October 2015

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-015-0699-4

zbMATH Keywords

global convergenceJacobi-Davidson methodblock Lanczos methodexact arithmeticrestarted Lanczos method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (6)

On global convergence of subspace projection methods for Hermitian eigenvalue problems ⋮ Convergence proof of the harmonic Ritz pairs of iterative projection methods with restart strategies for symmetric eigenvalue problems ⋮ On flexible block Chebyshev-Davidson method for solving symmetric generalized eigenvalue problems ⋮ Deflation for the Off-Diagonal Block in Symmetric Saddle Point Systems ⋮ On convergence of iterative projection methods for symmetric eigenvalue problems ⋮ Efficient semidefinite programming with approximate ADMM

Uses Software

• JDQR
• TRLan
• JDQZ
• IRAM
• a-TRLan
• lobpcg.m

Cites Work

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