An Error Analysis of a Unitary Hessenberg QR Algorithm

DOI10.1137/04061948XzbMath1119.65024MaRDI QIDQ5470522

Michael Stewart

Publication date: 31 May 2006

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

zbMATH Keywords

algorithmnumerical stabilityunitary eigenvalue problemunitary Hessenberg matrixforward and backward error bounds

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Roundoff error (65G50)

Related Items (12)

Trigonometric orthogonal systems and quadrature formulae ⋮ Szegő-Lobatto quadrature rules ⋮ Algorithms for the Geronimus transformation for orthogonal polynomials on the unit circle ⋮ A generalized unitary Hessenberg matrix ⋮ Eigenvalue computation for unitary rank structured matrices ⋮ Unitary rank structured matrices ⋮ On tridiagonal matrices unitarily equivalent to normal matrices ⋮ Generalized averaged Szegő quadrature rules ⋮ Optimally Conditioned Vandermonde-Like Matrices ⋮ Orthogonal Laurent polynomials on the unit circle and snake-shaped matrix factorizations ⋮ Anti-Szego quadrature rules ⋮ A CS decomposition for orthogonal matrices with application to eigenvalue computation

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