A block Lanczos method for the linear response eigenvalue problem

zbMath1392.65102MaRDI QIDQ1744306

Zhongming Teng Lei-Hong Zhang

Publication date: 23 April 2018

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol46/abstract.php?vol=46&pages=505-523

zbMATH Keywords

convergence analysisthick-restartblock Lanczos methodslinear response eigenvalue problems

Mathematics Subject Classification ID

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

Related Items (1)

Rayleigh-Ritz majorization error bounds for the linear response eigenvalue problem

Uses Software

• eigs
• TRLan
• SparseMatrix
• Quantum Espresso

Cites Work

• Quantum Espresso
• Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods
• Convergence of the block Lanczos method for eigenvalue clusters
• A block Chebyshev-Davidson method for linear response eigenvalue problems
• Backward perturbation analysis and residual-based error bounds for the linear response eigenvalue problem
• Perturbation of partitioned linear response eigenvalue problems
• Error bounds for approximate deflating subspaces for linear response eigenvalue problems
• Convergence analysis of Lanczos-type methods for the linear response eigenvalue problem
• Minimization principles and computation for the generalized linear response eigenvalue problem
• Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems
• A Krylov--Schur Algorithm for Large Eigenproblems
• Minimization Principles for the Linear Response Eigenvalue Problem II: Computation
• Reduction of the RPA eigenvalue problem and a generalized Cholesky decomposition for real-symmetric matrices
• Rayleigh--Ritz Approximation For the Linear Response Eigenvalue Problem
• Adaptive Projection Subspace Dimension for the Thick-Restart Lanczos Method
• The university of Florida sparse matrix collection
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• Deflation Techniques for an Implicitly Restarted Arnoldi Iteration
• Minimization Principles for the Linear Response Eigenvalue Problem I: Theory
• The time-dependent relativistic mean-field theory and the random phase approximation

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