Matrix analysis
Topics in matrix analysis
Generalization of the Bauer-Fike theorem
Numerische Mathematik
The algebraic eigenvalue problem
The algebraic eigenvalue problem
Interval matrices: singularity and real eigenvalues
SIAM Journal on Matrix Analysis and Applications
Matrix computations (3rd ed.)
Matrix analysis and applied linear algebra
Matrix analysis and applied linear algebra
Interval analysis: theory and applications
Journal of Computational and Applied Mathematics - Special issue on numerical analysis in the 20th century vol. 1: approximation theory
Principal component analysis on interval data
Computational Statistics
Characterizing and approximating eigenvalue sets of symmetric interval matrices
Computers & Mathematics with Applications
Journal of Global Optimization
| Hi-index | 0.00 |
We study bounds on real eigenvalues of interval matrices, and our aim is to develop fast computable formulae that produce as-sharp-as-possible bounds. We consider two cases: general and symmetric interval matrices. We focus on the latter case, since on the one hand such interval matrices have many applications in mechanics and engineering, and on the other hand many results from classical matrix analysis could be applied to them. We also provide bounds for the singular values of (generally nonsquare) interval matrices. Finally, we illustrate and compare the various approaches by a series of examples.