Convergence of the tridiagonal \(QR\) algorithm

DOI10.1016/S0024-3795(00)00171-3zbMath0967.65047MaRDI QIDQ1595112

Tai-Lin Wang

Publication date: 31 January 2001

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

zbMATH Keywords

global convergencetridiagonal matricesshift strategy\(QR\) algorithm

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (2)

Convergence of the unitary $QR$ algorithm with a unimodular Wilkinson shift ⋮ A note on the convergence theorem of the tridiagonal QR algorithm with Wilkinson's shift

Cites Work

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• A new shift of the QL algorithm for irreducible symmetric tridiagonal matrices
• The QR algorithm for unitary Hessenberg matrices
• On the convergence rate of the QL algorithm with Wilkinson's shift
• The shifted QR algorithm for Hermitian matrices
• Global convergence of tridiagonal QR algorithm with origin shifts
• Convergence of the shifted $QR$ algorithm for unitary Hessenberg matrices
• The Rayleigh Quotient Iteration and Some Generalizations for Nonnormal Matrices
• A New Proof of Global Convergence for the Tridiagonal $QL$ Algorithm

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