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Integration techniques for solving algebraic systems

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Part of the Lecture Notes in Mathematics book series (LNM,volume 606)

Abstract

By using results contained in [5] on the caracterization of natural L-spline functions, in this paper we will give a convenient general criterion for smoothing, in the successive approximation method, the solution of badly ill-conditioned linear least squares systems. Besided, for solving a special class of non linear algebraic systems (with properties a), b) and c) stated in § 3)), we shall present an efficient iterative method which has been generated by imposing particular conditions on the discrete dynamical systems associated to the given algebraic systems.

Keywords

  • Algebraic System
  • Discrete Dynamical System
  • Alternate Direction Method
  • Singular Matrix
  • Linear Algebraic System

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References

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© 1977 Springer-Verlag

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Galligani, I., Trigiante, D. (1977). Integration techniques for solving algebraic systems. In: Galligani, I., Magenes, E. (eds) Mathematical Aspects of Finite Element Methods. Lecture Notes in Mathematics, vol 606. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064459

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  • DOI: https://doi.org/10.1007/BFb0064459

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08432-7

  • Online ISBN: 978-3-540-37158-8

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