Localization of the spectrum and representation of solutions of linear dynamical systems

• Дата: 1998
• Автори: Mazko, A. G., Мазко, А. Г.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1998
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4820
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We develop a general method for the localization of eigenvalues of matrix polynomials and functions based on the solution of matrix equations. For a broad class of equations, we formulate theorems that generalize the known properties of the Lyapunov equation. A new method for the representation of s...