On the characteristic polynomial of regular linear matrix pencil
Joint Authors
Source
Alexandria Journal of Mathematics
Issue
Vol. 1, Issue 1 (30 Jun. 2010), pp.53-60, 8 p.
Publisher
Amgad Society for Developing the Community and Protecting the Environment
Publication Date
2010-06-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Linear matrix pencil, denoted by (A,B), plays an important role in control systems and numerical linear algebra.
The problem of finding the eigenvalues of (A,B) is often solved numerically by using the well-known QZ method.
Another approach for exploring the eigenvalues of (A,B) is by way of its characteristic polynomial, P(λ)= A−λB 0 .
There are other applications of working directly with the characteristic polynomial, for instance, using Routh-Hurwitz analysis to count the stable roots of and transfer function representation of control systems governed by differential-algebraic equations.
In this paper, we present an algorithm for algebraic construction of the characteristic polynomial of a regular linear pencil.
The main theorem reveals a connection between the coefficients of and a lexicographic combination of the rows between matrices A and B.
American Psychological Association (APA)
Wu, Yan& Lorren, Phillip D.. 2010. On the characteristic polynomial of regular linear matrix pencil. Alexandria Journal of Mathematics،Vol. 1, no. 1, pp.53-60.
https://search.emarefa.net/detail/BIM-760824
Modern Language Association (MLA)
Wu, Yan& Lorren, Phillip D.. On the characteristic polynomial of regular linear matrix pencil. Alexandria Journal of Mathematics Vol. 1, no. 1 (Jun. 2010), pp.53-60.
https://search.emarefa.net/detail/BIM-760824
American Medical Association (AMA)
Wu, Yan& Lorren, Phillip D.. On the characteristic polynomial of regular linear matrix pencil. Alexandria Journal of Mathematics. 2010. Vol. 1, no. 1, pp.53-60.
https://search.emarefa.net/detail/BIM-760824
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 60
Record ID
BIM-760824