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Article information
2003 , Volume 8, ¹ 5, p.63-77
Ivlev R.S.
Asymptotic stability and positive definiteness of dependent interval matrix
Dependent interval matrices, i.e.interval matrices with the elements, which depend on each other, are considered. The possibility to represent a dependent interval matrix as a matrix polytope is shown. Some algebraic conditions of positive definiteness and asymptotic stability for matrix polytopes are obtained.
[full text] Classificator Msc2000:- *15A48 Positive matrices and their generalizations; cones of matrices
- 65F30 Other matrix algorithms
- 65G30 Interval and finite arithmetic
Classificator Computer Science:- *G.1.0 General (Numerical Analysis)
- G.1.3 Numerical Linear Algebra
Keywords: symmetric interval matrix, computational complexity, interval computations, polytope of matrices, positive definiteness, asymptotic stability
Author(s):
Ivlev R.S.
Address: 480100, Kazakhstan, Almatu
E-mail: lns@ipic.academ.alma-ata.su
Bibliography link:
Ivlev R.S. Asymptotic stability and positive definiteness of dependent interval matrix // Computational technologies. 2003. V. 8. ¹ 5. P. 63-77
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