Using the Cauchy-Binet formula in the convergence proof of the tridiagonal QR algorithm with shifts

DOI10.1016/j.crma.2011.10.026zbMath1343.65037OpenAlexW2053134609MaRDI QIDQ654558

Michel Cuer

Publication date: 28 December 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.10.026

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• A new shift of the QL algorithm for irreducible symmetric tridiagonal matrices
• On the convergence of the \(QR\) algorithm with multishifts
• Convergence of the QR algorithm
• Correction to convergence of the QR algorithm
• Global convergence of tridiagonal QR algorithm with origin shifts
• Matrix Algorithms
• A New Proof of Global Convergence for the Tridiagonal $QL$ Algorithm
• The QR Algorithm Revisited
• Matrix Bruhat decompositions with a remark on the QR(GR) algorithm