We show that the standard uniqueness condition for an important class of optimal curve-fitting problems is equivalent to an observability condition on an associated dynamical model. This fact allows uniqueness to be checked by testing the rank of a matrix.
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Communicated by D. G. Luenberger
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Weinert, H.L., Sidhu, G.S. On uniqueness conditions for optimal curve fitting. J Optim Theory Appl 23, 211–216 (1977). https://doi.org/10.1007/BF00933048
- Spline interpolation
- curve fitting
- linear systems