The following information was submitted:
Transactions: NUMERICAL SCHEMES AND METHODS IN SCIENCE AND ENGINEERING
Transactions ID Number: 10-189
Full Name: Vitaly Melnikov
Position: Associate Professor
Age: ON
Sex: Male
Address: Department of Theoretical and Applied Mechanics, The National Research University of Information Technologies, Mechanics and Optics, Sablinskaya 14, 197101, St.- Petersburg, Russia
Country: RUSSIA
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E-mail address: melnikov@mail.ifmo.ru
Other E-mails: vita-melnikov@yandex.ru
Title of the Paper: A parametric approach to matrix root clustering
Authors as they appear in the Paper: Vitaly Melnikov
Email addresses of all the authors: melnikov@mail.ifmo.ru
Number of paper pages: 10
Abstract: This paper presents a new criteria for matrix root-clustering in sophisticated, multiply-connected and non-convex regions of the complex plane. A concept of the closed forbid-den region is defined as a complement of the root-clustering region to and the concepts of the forbidden subregions and the expanded root-clustering regions are introduced to formulate the main results of the paper. The set of the modified three-parametrical Cassini regions are offered to use as the subregions covering the forbidden region. In these terms the generalizations of the Gutman theorem and the Jury-Ahn theorem onto the intersection of the systems of nonlinear algebraic inequalities are obtained. An application to the problem of root-clustering in outside of a system of the forbidden frequency bands is shown for illustration.
Keywords: matrix root clustering, Lyapunov inequality, forbidden subregions, expanded root-clustering regions, modified Cassini regions.
EXTENSION of the file: .doc
Special (Invited) Session: About root-clustering in sophisticated regions
Organizer of the Session: 646-366
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