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New Criteria for the Semiconvergence of Interval Matrices

SIAM Journal on Matrix Analysis and Applications, 2005
We derive new criteria for the convergence of powers of interval matrices $[A]$ to a limit which may differ from $O$. The absolute value $|[A]|$ of $[A]$ is allowed to be reducible with slight additional restrictions.
Hans-Robert Arndt, Günter Mayer
openaire   +1 more source

Eigenvalues of tridiagonal symmetric interval matrices

IEEE Transactions on Automatic Control, 1994
The paper deals with the eigenvalue problem for symmetric tridiagonal interval matrices. A method for bounding the eigenvalues is described, which uses certain ratios in the Sturm sequence. The key idea is to avoid dependent intervals in the relevant interval operations. The method requires twice as many operations as the ordinary real Sturm method and
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On the Exponentiation of Interval Matrices. [PDF]

open access: possibleReliab. Comput., 2014
Neumaier, Arnold, Goldsztejn, Alexandre
openaire   +1 more source

Eigenvalues bounds for symmetric interval matrices

International Journal of Computing Science and Mathematics, 2015
Sukhjit Singh, D. K. Gupta
semanticscholar   +1 more source

Novel estimations for the eigenvalue bounds of complex interval matrices

Applied Mathematics and Computation, 2014
M. Matcovschi, O. Pastravanu
semanticscholar   +1 more source

Bounds on eigenvalues of real and complex interval matrices

Applied Mathematics and Computation, 2013
M. Hladík
semanticscholar   +1 more source

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