A note on the double-shift \(QL\) algorithm

DOI10.1016/0024-3795(92)90254-8zbMath0759.65015OpenAlexW2045540812MaRDI QIDQ1188423

Er-Xiong Jiang

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1016/0024-3795(92)90254-8

zbMATH Keywords

Convergencecomplex eigenvaluessymmetric tridiagonal matrixHessenberg matricesimplicit double-shift QL algorithmmulti-shift \(QL\)- algorithms

Mathematics Subject Classification ID

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

Related Items (4)

Convergence of the Francis shifted QR algorithm on normal matrices ⋮ A Wilkinson-like multishift QR algorithm for symmetric eigenvalue problems and its global convergence ⋮ Numerical solution of linear eigenvalue problems ⋮ Perturbation in eigenvalues of a symmetric tridiagonal matrix

Cites Work

• Convergence of algorithms of decomposition type for the eigenvalue problem
• Global convergence of tridiagonal QR algorithm with origin shifts

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