THE HISTOGRAM DATA APPROXIMATION WITH THE CONDITIONAL MINIMIZATION METHOD FOR THE LENGTH OF THE CUBIC C1-CLASS SPLINE WITH THE NON-NEGATIVENESS AND LOCAL MONOTONICITY PROPERTIES. PART 2
S. V. Mzhachikh, N. V. Kolobyanina, Yu. N. Lapshina
VANT. Ser.: Mat. Mod. Fiz. Proc 2023. Вып.3. С. 17-33.
This paper is the continuation of the previous paper by the authors, which has the same name. Some issues of the theory of building a cubic spline approximating the histogram data are considered, the recommended multistage tactics of solving problems is presented, and the calculated results for some test problems demonstrating the algorithm efficiency are given. The final section of the paper discusses the benefits and specific features of the method. Keywords: cubic spline, conditional minimization, locally monotone approximation, non-negative approximation.
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English
