On the semi-convergence of interval matrices

DOI10.1016/j.laa.2003.10.015zbMath1071.65036OpenAlexW2006003139MaRDI QIDQ703617

Günter Mayer, Hans-Robert Arndt

Publication date: 11 January 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2003.10.015

zbMATH Keywords

interval analysisconvergence of matrix powerspowers of interval matricessemi-convergence of matrix powers

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Iterative numerical methods for linear systems (65F10)

Related Items (3)

On the solutions of the quaternion interval systems \([x = [A] [x] + [b]\)] ⋮ On regular and singular interval systems ⋮ On interval systems \([x = [A][x] + [b]\) and the powers of interval matrices in complex interval arithmetics]

Cites Work

• On the convergence of powers of interval matrices
• Derived eigenvalues of symmetric matrices, with applications to distance geometry
• On the convergence of powers of interval matrices. II
• Interval analysis: Theory and applications
• A new proof of Mayer's theorem
• Enclosing solutions of singular interval systems iteratively
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