6533b826fe1ef96bd128534e
RESEARCH PRODUCT
Splines in convex sets under constraints of two‐sided inequality type in a hyperplane
Svetlana AsmussNatalja Budkinasubject
smoothing problemMathematical analysisRegular polygonLinear matrix inequalityHalf-spacesplineSpline (mathematics)Simplex algorithmHyperplaneModeling and SimulationQA1-939Applied mathematicsThin plate splinesimplex methodAnalysisSmoothingMathematicsMathematicsdescription
The problem of minimization of a smoothing functional under inequality constraints is considered in a hyperplane. The conditions of the existence of a solution are obtained and some properties of this solution are investigated. It is proved that the solution is a spline. The method for its construction is suggested. First Published Online: 14 Oct 2010
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-12-31 | Mathematical Modelling and Analysis |