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On the Inverse of Block Tridiagonal Matrices with Applications to the Inverses of Band Matrices and Block Band Matrices

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The Gohberg Anniversary Collection

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 40/41))

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Abstract

In the present paper the authors make an attempt to give a uniform description of the main properties of tridiagonal, band, block tridiagonal and block band matrices and their inverses. Some basic concepts are recalled and also some new results are presented.

Dedicated to Professor I. Gohberg on his 60th birthday.

Visiting at the Dipartimento di Informatica of the University of Pisa under the support of GNAFA-CNR

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Author information

Authors and Affiliations

  1. Department of Mathematics, Technical University of Budapest, Stoczek-u. 2-4, 1111, Budapest, Hungary

    Pál Rózsa

  2. Dipartimento di Informatica, University of Pisa, Corso Italia 40, 56100, Pisa, Italy

    Roberto Bevilacqua & Francesco Romani

  3. Istituto di Elaborazione dell’Informazione – CNR, Via S.Maria 46, 56100, Pisa, Italy

    Paola Favati

Authors
  1. Pál Rózsa
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  2. Roberto Bevilacqua
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  3. Paola Favati
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  4. Francesco Romani
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, Vrije Universiteit, Amsterdam, The Netherlands

    H. Dym , S. Goldberg , M. A. Kaashoek  & P. Lancaster , ,  & 

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© 1989 Birkhäuser Verlag Basel

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Rózsa, P., Bevilacqua, R., Favati, P., Romani, F. (1989). On the Inverse of Block Tridiagonal Matrices with Applications to the Inverses of Band Matrices and Block Band Matrices. In: Dym, H., Goldberg, S., Kaashoek, M.A., Lancaster, P. (eds) The Gohberg Anniversary Collection. Operator Theory: Advances and Applications, vol 40/41. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-9144-8_16

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  • DOI: https://doi.org/10.1007/978-3-0348-9144-8_16

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9924-6

  • Online ISBN: 978-3-0348-9144-8

  • eBook Packages: Springer Book Archive

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