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An Efficient Algorithm for Bilinear Strict Equivalent (BSE)- Matrix Pencils

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Large-Scale Scientific Computing (LSSC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5910))

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Abstract

In this short paper, we have two main objectives. First, to present the basic elements of the strict bilinear equivalence. Secondly, to describe an efficient algorithm for investigating the conditions for two homogeneous matrix pencils \(sF_1-\hat{s}G_1\) and \(sF_2-\hat{s}G_2\) to be bilinear strict equivalent. The proposed problem is very interesting since the applications are merely numerous. The algorithm is implemented in a numerical stable manner, giving efficient results.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Athens, Greece

    Grigoris I. Kalogeropoulos & Athanasios D. Karageorgos

  2. Department of Mathematical Sciences, University of Liverpool, U.K.

    Athanasios A. Pantelous

Authors
  1. Grigoris I. Kalogeropoulos
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  2. Athanasios D. Karageorgos
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  3. Athanasios A. Pantelous
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Editor information

Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev, Bl. 25A, 1113, Sofia, Bulgaria

    Ivan Lirkov

  2. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  3. Department of Informatics and Mathematical Modelling, Technical University of Denmark, Richard Petersens Plads - Building 321, 2800, Kongens Lyngby, Denmark

    Jerzy Waśniewski

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Kalogeropoulos, G.I., Karageorgos, A.D., Pantelous, A.A. (2010). An Efficient Algorithm for Bilinear Strict Equivalent (BSE)- Matrix Pencils. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2009. Lecture Notes in Computer Science, vol 5910. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12535-5_93

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  • DOI: https://doi.org/10.1007/978-3-642-12535-5_93

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12534-8

  • Online ISBN: 978-3-642-12535-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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