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Comparing Two Matrices by Means of Isometric Projections

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Numerical Linear Algebra in Signals, Systems and Control

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 80))

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Abstract

In this paper, we go over a number of optimization problems defined on a manifold in order to compare two matrices, possibly of different order. We consider several variants and show how these problems relate to various specific problems from the literature.

This paper presents research results of the Belgian Network DYSCO (Dynamical Systems, Control, and Optimization), funded by the Interuniversity Attraction Poles Programme, initiated by the Belgian State, Science Policy Office. The scientific responsibility rests with its authors.

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References

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Acknowledgments

We thank the reviewers for their useful remarks and for mentioning reference [6].

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Authors and Affiliations

  1. Department of Mathematical Engineering, Université catholique de Louvain, Bâtiment Euler, avenue Georges Lemaître 4, 1348, Louvain-la-Neuve, Belgium

    T. P. Cason, P. -A. Absil & P. Van Dooren

Authors
  1. T. P. Cason
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  2. P. -A. Absil
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  3. P. Van Dooren
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Corresponding author

Correspondence to T. P. Cason .

Editor information

Editors and Affiliations

  1. CESAME, Batiment Euler, Universite Catholique de Louvain, 4, avenue Georges Lemaitre, Louvain la Neuve, 1348, Belgium

    Paul Van Dooren

  2. Department of Electrical and Computer, Engineering, Texas A&M University, Zachry Engineering Center, College Station, 77843-3128, Texas, USA

    Shankar P. Bhattacharyya

  3. Dept. Mathematics, Chinese University Hong Kong, Shatin, New Territories, Hong Kong/PR China

    Raymond H. Chan

  4. Dept. Mathematics, University of Connecticut, Auditorium Road 196, Storrs, 06269-3009, Connecticut, USA

    Vadim Olshevsky

  5. , Electrical Engineering, Indian Institute of Technology, Kharagpur, 721302, India

    Aurobinda Routray

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Cason, T.P., Absil, P.A., Van Dooren, P. (2011). Comparing Two Matrices by Means of Isometric Projections. In: Van Dooren, P., Bhattacharyya, S., Chan, R., Olshevsky, V., Routray, A. (eds) Numerical Linear Algebra in Signals, Systems and Control. Lecture Notes in Electrical Engineering, vol 80. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0602-6_4

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  • DOI: https://doi.org/10.1007/978-94-007-0602-6_4

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0601-9

  • Online ISBN: 978-94-007-0602-6

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