Forward Stability and Transmission of Shifts in the $QR$ Algorithm

DOI10.1137/S0895479893245991zbMath0827.65039MaRDI QIDQ4835408

David S. Watkins

Publication date: 11 December 1995

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

zbMATH Keywords

stabilityconvergenceQR-eigenvalue algorithm

Mathematics Subject Classification ID

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

Related Items

The implicit application of a rational filter in the RKS method, A QR algorithm with variable iteration multiplicity, Notes on TQR algorithms, The transmission of shifts and shift blurring in the QR algorithm, On pole-swapping algorithms for the eigenvalue problem, Block Krylov-Schur method for large symmetric eigenvalue problems, General polynomial roots and their multiplicities inO(N)memory andO(N²)Time^∗, Optimally packed chains of bulges in multishift QR algorithms

Uses Software

• EISPACK