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Equations and Systems

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Modal Interval Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2091))

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Abstract

Similarly to the case of one interval equation A ∗ X = B, it is possible to treat the general problem of finding solutions for a system of linear interval equations A ∗X = B and to obtain a semantics for them, compatible with the necessary rounding.

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References

  1. R.T. Gregory, D.L. Karney, A Collection of Matrices for Testing Computational Algorithms (Wiley Interscience/Wiley, New York, 1969)

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  4. S. Markov, E. Popova, C. Ullrich, On the solution of linear algebraic equations involving interval coefficients. Iterative Methods Linear Algebra IMACS Ser. Comput. Appl. Math. 3, 216–225 (1996)

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  5. S.P. Shary, Algebraic Solutions to Interval Linear Equations and Their Applications (Akademie, Berlin, 1996), pp. 224–233

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  6. S.P. Shary, Modal intervals, in Interval Gauss-Seidel Method for Generalized Solution Sets to Interval Linear Systems. Applications of Interval Analysis to Systems and Control (Universitat de Girona, Spain, 1999), pp. 67–81

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Authors and Affiliations

  1. Informática Matemática Aplicada y Estadística Escola Politecnica Superior, University of Girona, Girona, Spain

    Miguel A. Sainz & Remei Calm

  2. Enginyeria Elèctrica Electrònica i Automàtica Escola Politecnica Superior, University of Girona, Girona, Spain

    Joaquim Armengol & Josep Vehi

  3. Imperial College London, London, UK

    Pau Herrero

  4. Matemática Económica Financiera y Actuarial Facultad de Economia y Empresa, Universitat de Barcelona, Barcelona, Spain

    Lambert Jorba

Authors
  1. Miguel A. Sainz
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  2. Joaquim Armengol
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  3. Remei Calm
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  4. Pau Herrero
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  5. Lambert Jorba
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  6. Josep Vehi
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© 2014 Springer International Publishing Switzerland

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Sainz, M.A., Armengol, J., Calm, R., Herrero, P., Jorba, L., Vehi, J. (2014). Equations and Systems. In: Modal Interval Analysis. Lecture Notes in Mathematics, vol 2091. Springer, Cham. https://doi.org/10.1007/978-3-319-01721-1_6

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