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A Convergence Analysis for Nonsymmetric Lanczos Algorithms

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Publication:3971344
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DOI10.2307/2008401zbMath0780.65025OpenAlexW4251704314MaRDI QIDQ3971344

Qiang Ye

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2008401


zbMATH Keywords

convergencetridiagonal matrixLanczos polynomialsnonsymmetric Lanczos algorithms


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)


Related Items (9)

Rayleigh-Ritz and Lanczos methods for symmetric matrix pencils ⋮ Krylov type subspace methods for matrix polynomials ⋮ The shift-inverted \(J\)-Lanczos algorithm for the numerical solutions of large sparse algebraic Riccati equations ⋮ An adaptive block Lanczos algorithm ⋮ A novel nonsymmetric \(K\)-Lanczos algorithm for the generalized nonsymmetric \(K\)-eigenvalue problems ⋮ A Breakdown-Free Variation of the Nonsymmetric Lanczos Algorithms ⋮ Modelling and simulation of a polluted water pumping process ⋮ Analysis of the finite precision bi-conjugate gradient algorithm for nonsymmetric linear systems ⋮ Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems




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