A QR algorithm with variable iteration multiplicity

DOI10.1016/S0377-0427(97)00151-9zbMath0895.65011MaRDI QIDQ1378996

Augustin A. Dubrulle

Publication date: 2 September 1998

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hessenberg matrixorthogonal transformationsforward instabilityimplicit multishift QR algorithmvariable iteration multiplicity

Mathematics Subject Classification ID

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

Uses Software

• LAPACK
• EISPACK

Cites Work

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• Matrix eigensystem routines - EISPACK guide. 2nd ed
• A multishift QR iteration without computation of the shifts
• The transmission of shifts and shift blurring in the QR algorithm
• The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
• ON A BLOCK IMPLEMENTATION OF HESSENBERG MULTISHIFT QR ITERATION
• The Efficient Generation of Random Orthogonal Matrices with an Application to Condition Estimators
• Forward Stability and Transmission of Shifts in the $QR$ Algorithm
• Analysis of Algorithms for Reflections in Bisectors

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