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Existence of solutions of piecewise differentiable systems of equations

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References

  1. G.Alefeld, Intervallanalytische Methoden bei nichtlinearen Gleichungen. In: Jahrbuch Überblicke Mathematik, 63–78, Mannheim 1979.

  2. W. M.Kahan, A. more complete interval arithmetic. Lecture Notes, University of Michigan 1968.

  3. R. Krawczyk, Gleichungen in halbgeordneten Räumen. Abh. Math. Sem. Univ. Hamburg36, 150–165 (1971).

    Google Scholar 

  4. R. Krawczyk, A Lipschitz operator for function strips. Freiburger Intervall-Berichte84/5, 9–19 (1984).

    Google Scholar 

  5. R. Krawczyk andA. Neumaier, Interval slopes for rational functions and associated centered forms. SIAM J. Numer. Anal.22, 604–616 (1985).

    Google Scholar 

  6. R. E.Moore, Interval analysis. Englewood Cliffs, N.J. 1966.

  7. R. E. Moore, A test for existence of solutions to nonlinear systems. SIAM J. Numer. Anal.14, 611–615 (1977).

    Google Scholar 

  8. A. Neumaier, New techniques for the analysis of linear interval equations. Linear Algebra Appl.58, 273–325 (1984).

    Google Scholar 

  9. A. Neumaier, Interval iteration for zeros of systems of equations. BIT24, 366–372 (1984).

    Google Scholar 

  10. K. Nickel, On the Newton method in interval analysis. MCR Techn. Sum. Rep. # 1136, Univ. of Wisconsin, Madison, Wisc. 1971.

    Google Scholar 

  11. L.Qi, A generalization of the Krawczyk-Moore algorithm. In: Interval Mathematics 1980 (K. Nickel, ed.), 481–488, New York 1980.

  12. S.Rump, Lösung linearer und nichtlinearer Gleichungssysteme mit maximaler Genauigkeit. In: Wissensch. Rechnen und Programmiersprachen (U. Kulisch/Ch. Ullrich, eds.) 147–174, Stuttgart 1982.

  13. W. I.Zangwill and C. B.Garcia, Pathways to solutions, fixed points, and equilibria. Englewood Cliffs, N.J. 1981.

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  1. A. Neumaier

    Present address: Institut für Angew. Mathematik, Universität Freiburg, Hermann-Herder-Str. 10, D-7800, Freiburg

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    Neumaier, A. Existence of solutions of piecewise differentiable systems of equations. Arch. Math 47, 443–447 (1986). https://doi.org/10.1007/BF01189986

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