On the convergence rate of the QL algorithm with Wilkinson's shift

DOI10.1016/0024-3795(89)90292-9zbMath0658.65039OpenAlexW2093736832WikidataQ127493871 ScholiaQ127493871MaRDI QIDQ1111335

Guo-Dong Zhang

Publication date: 1989

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90292-9

zbMATH Keywords

convergence ratesymmetric tridiagonal matrixQL algorithm with Wilkinson's shift

Mathematics Subject Classification ID

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

Related Items (3)

On the convergence rate of the QL algorithm with Wilkinson's shift ⋮ A note on the convergence theorem of the tridiagonal QR algorithm with Wilkinson's shift ⋮ Convergence of the tridiagonal \(QR\) algorithm

Cites Work

• Unnamed Item
• A new shift of the QL algorithm for irreducible symmetric tridiagonal matrices
• On the convergence rate of the QL algorithm with Wilkinson's shift
• A new look at the Lanczos algorithm for solving symmetric systems of linear equations
• A New Proof of Global Convergence for the Tridiagonal $QL$ Algorithm

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