Defining non-negative (homogeneous) Weier-strass canonical matrix pencils, sFw-ŝGw

Athanasios A. Pantelous; Athanasios D. Karageorgos; Grigoris I. Kalogeropoulos

doi:10.1063/1.3271604

Defining non-negative (homogeneous) Weier-strass canonical matrix pencils, sF_w-ŝG_w

Athanasios A. Pantelous, Athanasios D. Karageorgos, Grigoris I. Kalogeropoulos

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

Abstract

In this paper, our main task is to provide the mathematical characterization for the non-negativity of a given homogeneous real Weierstrass canonical pencil. Following the work of Uhlig [14] and Pantelous et al. [10], we determine analytically the family into a relevant set of indeterminates S, Ŝ. This new approach might be easily transferred into a standard computational routine by using simple Matlab m-files. A numerical example is also provided.

Original language	English
Title of host publication	Applications of Mathematics in Engineering and Economics (AMEE '09) - Proceedings of the 35th International Conference
Pages	121-128
Number of pages	8
Volume	1184
DOIs	https://doi.org/10.1063/1.3271604
Publication status	Published - 2009
Externally published	Yes
Event	35th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2009 - Sozopol, Bulgaria Duration: 7 Jun 2009 → 12 Jun 2009

Conference

Conference	35th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2009
Country/Territory	Bulgaria
City	Sozopol
Period	7/06/09 → 12/06/09

Keywords

Matrix pencil theory
Non-negativity
Weierstrass canonical form

Access to Document

10.1063/1.3271604

Cite this

@inproceedings{c0a52067707443ac9a41d2dfd3a4f44a,

title = "Defining non-negative (homogeneous) Weier-strass canonical matrix pencils, sFw-ŝGw",

abstract = "In this paper, our main task is to provide the mathematical characterization for the non-negativity of a given homogeneous real Weierstrass canonical pencil. Following the work of Uhlig [14] and Pantelous et al. [10], we determine analytically the family into a relevant set of indeterminates S, Ŝ. This new approach might be easily transferred into a standard computational routine by using simple Matlab m-files. A numerical example is also provided.",

keywords = "Matrix pencil theory, Non-negativity, Weierstrass canonical form",

author = "Pantelous, \{Athanasios A.\} and Karageorgos, \{Athanasios D.\} and Kalogeropoulos, \{Grigoris I.\}",

year = "2009",

doi = "10.1063/1.3271604",

language = "English",

isbn = "9780735407503",

volume = "1184",

pages = "121--128",

booktitle = "Applications of Mathematics in Engineering and Economics (AMEE '09) - Proceedings of the 35th International Conference",

note = "35th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2009 ; Conference date: 07-06-2009 Through 12-06-2009",

}

Pantelous, AA, Karageorgos, AD & Kalogeropoulos, GI 2009, Defining non-negative (homogeneous) Weier-strass canonical matrix pencils, sF_w-ŝG_w. in Applications of Mathematics in Engineering and Economics (AMEE '09) - Proceedings of the 35th International Conference. vol. 1184, pp. 121-128, 35th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2009, Sozopol, Bulgaria, 7/06/09. https://doi.org/10.1063/1.3271604

Defining non-negative (homogeneous) Weier-strass canonical matrix pencils, sF_w-ŝG_w. / Pantelous, Athanasios A.; Karageorgos, Athanasios D.; Kalogeropoulos, Grigoris I.
Applications of Mathematics in Engineering and Economics (AMEE '09) - Proceedings of the 35th International Conference. Vol. 1184 2009. p. 121-128.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

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