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Shifting algorithms with Maple and implicit shift in the QR algorithm

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Publication:1764745
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DOI10.1016/j.amc.2003.12.062zbMath1063.65029OpenAlexW2007293775MaRDI QIDQ1764745

H. Saberi Najafi, Maryam Shams Solary

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.062


zbMATH Keywords

numerical examplesQR algorithmEigenvalue problemBlock Hessenberg matrixBlock shiftImplicit and explicit shift


Mathematics Subject Classification ID

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


Related Items (1)

A new algorithm for computing the inertia of eigenproblems \((Ax=\lambda x)\) and \((Ax=\lambda Bx)\)


Uses Software

  • Maple


Cites Work

  • Unnamed Item
  • Unnamed Item
  • The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
  • Implicit Shifting in the QR and Related Algorithms


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