On the convergence of the \(QR\) algorithm with multishifts

DOI10.1007/BF02355377zbMath0899.65014MaRDI QIDQ1376930

Evgenij E. Tyrtyshnikov

Publication date: 1 June 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesQR algorithm with multishiftquadratic and cubic convergence

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

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• Convergence of algorithms of decomposition type for the eigenvalue problem
• The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
• ON A BLOCK IMPLEMENTATION OF HESSENBERG MULTISHIFT QR ITERATION
• Shifting Strategies for the Parallel $QR$ Algorithm
• On some algorithms for the solution of the complete eigenvalue problem
• The calculation of Lame polynomials

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