Journal "Computational Technologies"

Article information

2000 , Volume 5, № 2, p.71-81

Matveeva I.I., Novozhilova E.Y.

On belonging the matrix spectrum to the left half-plane

In the present article the authors continue the research of parameters [Java Applet] that characterize belonging the matrix spectrum to the left half-plane. A theorem on continuous dependence of the parameters on matrix elements is proved. The authors propose an algorithm to obtain the estimates of the parameters.

[full text] Classificator Msc2000:

*15A42 Inequalities involving eigenvalues and eigenvectors

65F15 Eigenvalues, eigenvectors

Classificator Computer Science:

*G.1.3 Numerical Linear Algebra

Keywords: matrix spectrum, left half-plane, continuous dependence, inclusion, algorithm

Author(s):
Matveeva Inessa Izotovna
PhD. , Associate Professor
Position: Senior Research Scientist
Office: Institute of Mathematics SB RAS
Address: 630090, Russia, Novosibirsk, Ac/ Koptug ave., 4
Phone Office: (383)3634673
E-mail: matveeva@math.nsc.ru

Novozhilova E Yu
Address: 630090, Russia, Novosibirsk, Ac/ Koptug ave., 4
Phone Office: (3832)330684

Bibliography link:
Matveeva I.I., Novozhilova E.Y. On belonging the matrix spectrum to the left half-plane // Computational technologies. 2000. V. 5. № 2. P. 71-81