Implicit Shifting in the QR and Related Algorithms

DOI10.1137/0612028zbMath0725.65040OpenAlexW2036548820MaRDI QIDQ5203568

Christopher C. Paige, George S. Miminis

Publication date: 1991

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0612028

zbMATH Keywords

matrix eigenproblempole placementQR algorithmHessenberg matriximplicit shiftimplicit shiftingexplicit and implicit shift algorithms

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Pole and zero placement problems (93B55)

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The $QR$ Steps with Perfect Shifts, Gaussian quadrature for matrix valued functions on the real line, Block Krylov-Schur method for large symmetric eigenvalue problems, Shifting algorithms with Maple and implicit shift in the QR algorithm