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Determinant expressions and matrix interpretations

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Laurent Series and their Padé Approximations

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

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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.

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© 1987 Birkhäuser Verlag Basel

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Bultheel, A. (1987). Determinant expressions and matrix interpretations. In: Laurent Series and their Padé Approximations. Operator Theory: Advances and Applications, vol 27. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9306-0_9

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  • DOI: https://doi.org/10.1007/978-3-0348-9306-0_9

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9988-8

  • Online ISBN: 978-3-0348-9306-0

  • eBook Packages: Springer Book Archive

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