Rounding errors in solving block Hessenberg systems

DOI10.1090/S0025-5718-96-00667-9zbMath0848.65011OpenAlexW2114423072MaRDI QIDQ4878534

G. W. Stewart, Urs von Matt

Publication date: 27 October 1996

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-96-00667-9

zbMATH Keywords

\(M\)-matricesorthogonal decompositionrounding errorsbackward error analysisdivide-and-conquer methodblock Hessenberg matricesdiagonally-dominant matrices

Mathematics Subject Classification ID

Roundoff error (65G50) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (2)

Computation of the monodromy matrix in floating point arithmetic with the Wilkinson model ⋮ Recursive algorithms for unbalanced banded Toeplitz systems

Uses Software

• Maple
• Matlab

Cites Work

• Rang revealing QR factorizations
• Componentwise perturbation theory for linear systems with multiple right- hand sides
• On the solution of block Hessenberg systems
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