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Comparison of the Hansen-Sengupta and the Frommer-Lang-Schnurr existence tests

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Publication:873155
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DOI10.1007/s00607-006-0217-8zbMath1116.65061OpenAlexW2035676383MaRDI QIDQ873155

Alexandre Goldsztejn

Publication date: 28 March 2007

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-006-0217-8


zbMATH Keywords

interval analysisnonlinear equationsexistence test


Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30)


Related Items (2)

Computing slope enclosures by exploiting a unique point of inflection ⋮ Solving the linear interval tolerance problem for weight initialization of neural networks



Cites Work

  • Unnamed Item
  • A simple derivation of the Hansen-Bliek-Rohn-Ning-Kearfott enclosure for linear interval equations
  • A comparison of the Moore and Miranda existence tests
  • On the proofs of some statements concerning the theorems of Kantorovich, Moore, and Miranda
  • A Simple Test for Accuracy of Approximate Solutions to Nonlinear (or Linear) Systems


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