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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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
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