An approximate method for the standard interval eigenvalue problem of real non‐symmetric interval matrices

Z Qiu, PC Müller, A Frommer - Communications in numerical …, 2001 - Wiley Online Library
interval eigenvalue problem in real non-symmetric interval matrices, then we present the
interval … the set of all possible eigenvalues of the real non-symmetric interval matrix. Very weak …

The extreme eigenvalues and stability of real symmetric interval matrices

D Hertz - IEEE Transactions on automatic control, 1992 - ieeexplore.ieee.org
eigenvalues of n*n dimensional symmetric interval matriceseigenvalue of a given set of
interval matrices coincides with the maximal eigenvalue of a special set of 2/sup n-1/ symmetric

The maximal eigenvalue and stability of a class of real symmetric interval matrices

D Hertz - IEEE Transactions on Circuits and Systems I …, 1993 - ieeexplore.ieee.org
… finding the maximal eigenvalues of a class of real symmetric interval matrices denoted by A.
… the maximal eigenvalue of A coincides with the maximal eigenvalue of a single vertex matrix

[HTML][HTML] Characterizing and approximating eigenvalue sets of symmetric interval matrices

M Hladík, D Daney, E Tsigaridas - Computers & Mathematics with …, 2011 - Elsevier
… A real symmetric matrix A ∈ R n × n has always n real eigenvalues, let us sort … symmetric
interval matrices λ i ( A S ) ≔ { λ i ( A ) ∣ A ∈ A S } . These sets represent n compact intervals λ i …

Eigenvalues of symmetric interval matrices

NS Kaleyski - 2014 - dspace.cuni.cz
… of eigenvalue intervals of real symmetric interval matrices, to modify them so that they
perform verified computations and to implement them in the Matlab programming language. The …

Bounds on real eigenvalues and singular values of interval matrices

M Hladík, D Daney, E Tsigaridas - SIAM Journal on Matrix Analysis and …, 2010 - SIAM
symmetric interval matrices. We focus on the latter case, since on the one hand such interval
matrices … the other hand many results from classical matrix analysis could be applied to them…

Positive definiteness and stability of interval matrices

J Rohn - SIAM Journal on Matrix Analysis and Applications, 1994 - SIAM
… We shall consider here Schur stability of symmetric matrices only to avoid complex eigenvalues
that seemingly cannot be easily handled by the method used. Therefore, we shall say …

Complexity issues for the symmetric interval eigenvalue problem

M Hladík - Open Mathematics, 2014 - degruyter.com
… of computing extremal eigenvalues of symmetric interval matrices. While there are diverse
methods for calculating the eigenvalues exactly (… An interval (square) matrix A is defined as …

Eigenvalues bounds for symmetric interval matrices

S Singh, DK Gupta - International Journal of Computing …, 2015 - inderscienceonline.com
… to approximate the eigenvalues bounds of real symmetric interval matrices as … interval
analysis, this is done by solving the standard interval eigenvalue problem by applying the interval

The eigenvalues of random symmetric matrices

Z Füredi, J Komlós - Combinatorica, 1981 - Springer
eigenvalues belong to the above interval I if /l=0, while in case it>-O only the largest eigenvalue
… If p >0 then the distribution of the largest eigenvalue of the random symmetric matrix A =(…