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Equations and Systems

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

Abstract

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

Keywords

Real-valued System Interval Linear Systems Modal Interval Analysis Proper Interval Linear Optimization Scheme 
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.

References

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    L. Kupriyanova, Finding inner estimates of the solution sets to equations with interval coefficients. Ph.D. thesis, Saratov State University, Saratov, Russia, 2000Google Scholar
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    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)Google Scholar
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    S.P. Shary, Algebraic Solutions to Interval Linear Equations and Their Applications (Akademie, Berlin, 1996), pp. 224–233Google Scholar
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    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. 67–81Google Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Informática Matemática Aplicada y Estadística Escola Politecnica SuperiorUniversity of GironaGironaSpain
  2. 2.Enginyeria Elèctrica Electrònica i Automàtica Escola Politecnica SuperiorUniversity of GironaGironaSpain
  3. 3.Imperial College LondonLondonUK
  4. 4.Matemática Económica Financiera y Actuarial Facultad de Economia y EmpresaUniversitat de BarcelonaBarcelonaSpain

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