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- Title
An algorithmic technique for the investigation of the non-negativity (or positivity) of a homogeneous matrix pencil.
- Authors
Pantelous, Athanasios A.; Karageorgos, Athanasios D.; Kalogeropoulos, Grigoris I.
- Abstract
In the classical literature of matrix pencils theory, the dual pencils sF - G and F - ŝG are identified by the homogeneous matrix pencil sF - ŝG, where s, ŝ are indeterminates. In the present paper, we discuss and we provide a characterization of the nonnegativity (or positivity) of a given homogeneous pencil. An algorithmic approach for the analytic determination of all the nonnegative (or positive) homogeneous pencils into a relevant set of indeterminates s, ŝ is provided. This new approach can be easily transferred into a standard computational routine by using simple Matlab m-files. Some numerical examples are also concluded.
- Subjects
MATRIX pencils; MATRICES (Mathematics); LINEAR systems; MATHEMATICAL inequalities; MATHEMATICAL analysis; MATHEMATICS
- Publication
Journal of Computational Analysis & Applications, 2010, Vol 12, Issue 1A, p526
- ISSN
1521-1398
- Publication type
Article