The Padé-Rayleigh-Ritz method for solving large Hermitian eigenproblems

DOI10.1007/BF02142494zbMath0852.65036OpenAlexW2056842497MaRDI QIDQ1911447

Nahid Emad

Publication date: 5 December 1996

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02142494

zbMATH Keywords

stabilityLanczos methodparallel computationPadé approximantsKrylov sequencelarge sparse Hermitian matrixPadé-Rayleigh-Ritz methodRitz eigenvalues

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Parallel numerical computation (65Y05)

Related Items (1)

Irr: An algorithm for computing the smallest singular value of large scale matrices

Cites Work

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• Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices
• Parallel subspace method for non-Hermitian eigenproblems on the Connection Machine (CM2)
• The Lanczos Biorthogonalization Algorithm and Other Oblique Projection Methods for Solving Large Unsymmetric Systems
• Perturbative−variational approximations to the spectral properties of semibounded Hilbert space operators, based on the moment problem with finite or diverging moments. Application to quantum mechanical systems
• An Algorithm for the Inversion of Finite Hankel Matrices
• The Triangular Decomposition of Hankel Matrices

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