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Some determinantal identities in a vector space, with applications

Part of the Lecture Notes in Mathematics book series (LNM,volume 1071)

Abstract

The determinantal identities of Al. Magnus, J.J. Sylvester and F.F. Schweins are extended to determinants whose first row consists of elements of a vector space and whose other rows are formed by scalars. These identities are then used to derive a recursive algorithm having many applications.

Keywords

  • Vector Space
  • Conjugate Gradient Method
  • Recursive Algorithm
  • Gradient Projection Method
  • Extended Identity

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.

Work performed under the NATO Research Grant O27.81

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© 1984 Springer-Verlag

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Brezinski, C. (1984). Some determinantal identities in a vector space, with applications. In: Werner, H., Bünger, H.J. (eds) Padé Approximation and its Applications Bad Honnef 1983. Lecture Notes in Mathematics, vol 1071. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099606

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  • DOI: https://doi.org/10.1007/BFb0099606

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13364-3

  • Online ISBN: 978-3-540-38914-9

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