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Determinant expressions and matrix interpretations

  • Adhemar Bultheel
Part of the Operator Theory: Advances and Applications book series (OT, volume 27)

Abstract

In this chapter we go back to the origin of our basic algorithms of chapter 3. We started by formulating in (3.1) a problem of linear algebra wich was to solve recursively some nested Toeplitz systems of linear equations. This solution gave recurrence relation (3.6) which was the fundament of algorithms 1 and 2. In subsequent chapters we gave interpretations in terms of Padé approximants, continued fractions, Moebius transforms and orthogonal polynomials. In this chapter we shall come back to the linear algebra and show how the previous results may be interpreted in this environment.

Keywords

Recurrence Relation Inversion Formula Toeplitz Matrix Triangular Matrice Toeplitz Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag Basel 1987

Authors and Affiliations

  • Adhemar Bultheel
    • 1
  1. 1.Dept. Computer ScienceK. U. LeuvenLeuven-HeverleeBelgium

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