A variation on the block Arnoldi method for large unsymmetric matrix eigenproblems

DOI10.1007/BF02683827zbMath0931.65036OpenAlexW118938701MaRDI QIDQ1299851

Zhongxiao Jia

Publication date: 28 February 2000

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02683827

zbMATH Keywords

algorithmeigenvalueseigenvectorsRitz vectorsblock Arnoldi methodconvective diffusion differential equationlarge unsymmetric matrix eigenproblemsTolosa matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (3)

A modified harmonic block Arnoldi algorithm with adaptive shifts for large interior eigen\-problems ⋮ A thick-restarted block Arnoldi algorithm with modified Ritz vectors for large eigenproblems ⋮ An iterative block Arnoldi algorithm with modified approximate eigenvectors for large unsymmetric eigenvalue problems

Cites Work

• Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices
• Generalized block Lanczos methods for large unsymmetric eigenproblems
• Rational Krylov algorithms for nonsymmetric eigenvalue problems. II: Matrix pairs
• A block Arnoldi-Chebyshev method for computing the leading eigenpairs of large sparse unsymmetric matrices
• Block-Arnoldi and Davidson methods for unsymmetric large eigenvalue problems
• Numerical solution of large nonsymmetric eigenvalue problems
• The rational Krylov algorithm for nonsymmetric eigenvalue problems. III: Complex shifts for real matrices
• Refined iterative algorithms based on Arnoldi's process for large unsymmetric eigenproblems
• A refined iterative algorithm based on the block Arnoldi process for large unsymmetric eigenproblems
• A block incomplete orthogonalization method for large nonsymmetric eigenproblems
• Chebyshev Acceleration Techniques for Solving Nonsymmetric Eigenvalue Problems
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• The Convergence of Generalized Lanczos Methods for Large Unsymmetric Eigenproblems
• The principle of minimized iterations in the solution of the matrix eigenvalue problem
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