Convergence in finite precision of successive iteration methods under high nonnormality

DOI10.1007/BF01731927zbMath0864.65015MaRDI QIDQ1923869

Serge Gratton, F. Chaitin-Chatelin

Publication date: 3 June 1997

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

convergencenilpotencyspectral instabilitysuccessive iterationfinite precision arithmeticarithmetic artefacthigh nonnormalitysuccessive powers

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10) Roundoff error (65G50) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (2)

A note on high-precision approximation of asymptotically decaying solution and orthogonal decomposition ⋮ Topological analysis of eigenvalues in engineering computations

Uses Software

• mctoolbox
• Eigtool
• Algorithm 694

Cites Work

• Algorithm 694
• Matrix Powers in Finite Precision Arithmetic
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