Abstract
This paper presents a new numerical algorithm based on interval analysis able to verify that a continuously differentiable function is injective. The efficiency of the method is demonstrated by illustrative examples. These examples have been treated by a C++ solver which is made available.
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Lagrange, S., Delanoue, N. & Jaulin, L. On Sufficient Conditions of the Injectivity: Development of a Numerical Test Algorithm via Interval Analysis. Reliable Comput 13, 409–421 (2007). https://doi.org/10.1007/s11155-007-9042-9
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DOI: https://doi.org/10.1007/s11155-007-9042-9