Comparing two bilinear equivalent matrix pencils

A. A. Pantelous; A. D. Karageorgos; G. I. Kalogeropoulos

Comparing two bilinear equivalent matrix pencils

A. A. Pantelous, A. D. Karageorgos, G. I. Kalogeropoulos

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

Abstract

In this paper, an algorithmic technique for investigating the necessary and sufficient conditions for two homogeneous matrix pencils sF₁ - ŝG₁ and sF₂ - ŝG₂ to be bilinear equivalent is provided. The proposed problem is very interesting since the applications are merely numerous.

Original language	English
Title of host publication	Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering
Subtitle of host publication	Advanced Topics in Scattering and Biomedical Engineering
Publisher	World Scientific Publishing
Pages	281-296
Number of pages	16
ISBN (Print)	9814322024, 9789814322027
Publication status	Published - 1 Jan 2010
Externally published	Yes
Event	2009 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering - Patras, Greece Duration: 9 Oct 2009 → 11 Oct 2009

Publication series

Name	Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering

Conference

Conference	2009 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering
Country/Territory	Greece
City	Patras
Period	9/10/09 → 11/10/09

Keywords

Bilinear Equivalence
Linear Systems
Matrix Pencil

Cite this

Pantelous, A. A., Karageorgos, A. D., & Kalogeropoulos, G. I. (2010). Comparing two bilinear equivalent matrix pencils. In Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering (pp. 281-296). (Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering). World Scientific Publishing.

Pantelous, A. A. ; Karageorgos, A. D. ; Kalogeropoulos, G. I. / Comparing two bilinear equivalent matrix pencils. Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering. World Scientific Publishing, 2010. pp. 281-296 (Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering).

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title = "Comparing two bilinear equivalent matrix pencils",

abstract = "In this paper, an algorithmic technique for investigating the necessary and sufficient conditions for two homogeneous matrix pencils sF1 - ŝG1 and sF2 - ŝG2 to be bilinear equivalent is provided. The proposed problem is very interesting since the applications are merely numerous.",

keywords = "Bilinear Equivalence, Linear Systems, Matrix Pencil",

author = "Pantelous, {A. A.} and Karageorgos, {A. D.} and Kalogeropoulos, {G. I.}",

year = "2010",

month = jan,

day = "1",

language = "English",

isbn = "9814322024",

series = "Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering",

publisher = "World Scientific Publishing",

pages = "281--296",

booktitle = "Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering",

address = "Singapore",

note = "2009 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering ; Conference date: 09-10-2009 Through 11-10-2009",

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Pantelous, AA, Karageorgos, AD & Kalogeropoulos, GI 2010, Comparing two bilinear equivalent matrix pencils. in Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering. Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering, World Scientific Publishing, pp. 281-296, 2009 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering, Patras, Greece, 9/10/09.

Comparing two bilinear equivalent matrix pencils. / Pantelous, A. A.; Karageorgos, A. D.; Kalogeropoulos, G. I.
Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering. World Scientific Publishing, 2010. p. 281-296 (Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

TY - GEN

T1 - Comparing two bilinear equivalent matrix pencils

AU - Pantelous, A. A.

AU - Karageorgos, A. D.

AU - Kalogeropoulos, G. I.

PY - 2010/1/1

Y1 - 2010/1/1

N2 - In this paper, an algorithmic technique for investigating the necessary and sufficient conditions for two homogeneous matrix pencils sF1 - ŝG1 and sF2 - ŝG2 to be bilinear equivalent is provided. The proposed problem is very interesting since the applications are merely numerous.

AB - In this paper, an algorithmic technique for investigating the necessary and sufficient conditions for two homogeneous matrix pencils sF1 - ŝG1 and sF2 - ŝG2 to be bilinear equivalent is provided. The proposed problem is very interesting since the applications are merely numerous.

KW - Bilinear Equivalence

KW - Linear Systems

KW - Matrix Pencil

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M3 - Conference Paper

AN - SCOPUS:84903824220

SN - 9814322024

SN - 9789814322027

T3 - Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering

SP - 281

EP - 296

BT - Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering

PB - World Scientific Publishing

T2 - 2009 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering

Y2 - 9 October 2009 through 11 October 2009

ER -

Pantelous AA, Karageorgos AD, Kalogeropoulos GI. Comparing two bilinear equivalent matrix pencils. In Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering. World Scientific Publishing. 2010. p. 281-296. (Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering).

Comparing two bilinear equivalent matrix pencils

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