Aproksimacija rastnih funkcij s kubičnimi zlepki

Cedilnik, Anton (author)

V članku so izpeljane formule za določanje kubičnega zlepka prvega reda z minimalnim drugim odvodom, ki naj ima vozle v danih točkah in mora biti naraščajoč. Zahteva po monotonosti privede do nelinearnega konveksnega programa, ki ga rešimo numerično.

• Language: Slovenian
• Keywords: matematika, numerične metode, interpolacije, gozdarstvo, rastna funkcija, aproksimacija, kubični zlepek, monoton zlepek, nelinearen program
• Work type: Not categorized
• Typology: 1.01 - Original Scientific Article
• Organization: BF - Biotechnical Faculty
• Year: 1991
• Number of pages: Str. 117-123
• Numbering: Let. 37
• PID: 20.500.12556/RUL-29005
• UDC: 519.65:630
• ISSN on article: 0351-3114
• COBISS.SI-ID: 36000512
• Publication date in RUL: 11.07.2014

Record is a part of a journal

• Title: Zbornik gozdarstva in lesarstva. forest and wood science & technology
• Shortened title: Zb. gozd. lesar.
• Publisher: Gozdarski inštitut Slovenije, Biotehniška fakulteta, Oddelek za gozdarstvo in obnovljive gozdne vire, Biotehniška fakulteta, Oddelek za lesarstvo
• ISSN: 0351-3114
• COBISS.SI-ID: 6206978

Secondary language

• Language: English
• Title: Approximation of growth functions with cubic splines

Abstract

In the article we deduce the formulae for determination of the cubic spline of the first order, with minimal second derivative. The knots are in given points and the spline has to increase. This demand leads us to a nonlinear convex program, which is solved numerically.

• Keywords: mathematics, numerical methods, interpolations, forestry, growth function, approximation, cubic spline, increasing spline, nonlinear programming