A block incomplete orthogonalization method for large nonsymmetric eigenproblems

DOI10.1007/BF01739824zbMath0844.65026OpenAlexW1965286274MaRDI QIDQ1907872

Zhongxiao Jia

Publication date: 29 August 1996

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01739824

zbMATH Keywords

stabilityconvergenceeigenvalueseigenvectorsblock Lanczos methodArnoldi's methodblock incomplete orthogonalization methodlarge nonsymmetric diagonalizable matrices

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Orthogonalization in numerical linear algebra (65F25)

Related Items

A refined iterative algorithm based on the block Arnoldi process for large unsymmetric eigenproblems, On IOM(q): The Incomplete Orthogonalization Method for Large Unsymmetric Linear Systems, Some recursions on Arnoldi's method and IOM for large non-Hermitian linear systems, On IGMRES: An incomplete generalized minimal residual method for large unsymmetric linear systems, A variation on the block Arnoldi method for large unsymmetric matrix eigenproblems

Uses Software

• eigs
• IRAM

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reduced storage matrix methods in stiff ODE systems
• Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices
• On IGMRES: An incomplete generalized minimal residual method for large unsymmetric linear systems
• 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
• Tchebychev acceleration technique for large scale nonsymmetric matrices
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• Practical Use of Some Krylov Subspace Methods for Solving Indefinite and Nonsymmetric Linear Systems
• Chebyshev Acceleration Techniques for Solving Nonsymmetric Eigenvalue Problems
• Iterative Solution of Linear Equations in ODE Codes
• Hybrid Krylov Methods for Nonlinear Systems of Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
• The Lanczos Biorthogonalization Algorithm and Other Oblique Projection Methods for Solving Large Unsymmetric Systems
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• A Hybrid Chebyshev Krylov Subspace Algorithm for Solving Nonsymmetric Systems of Linear Equations
• The Convergence of Generalized Lanczos Methods for Large Unsymmetric Eigenproblems
• The principle of minimized iterations in the solution of the matrix eigenvalue problem