Models and algorithms for optimal piecewise-linear function approximation
type: Item
instance of: scholarly article
title: Models and algorithms for optimal piecewise-linear function approximation
zbMATH Open document ID: 1394.65011
DOI: 10.1155/2015/876862
author: Eduardo Camponogara
author: Luiz Fernando Nazari
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: Piecewise-linear functions can approximate nonlinear and unknown functions for which only sample points are available. This paper presents a range of piecewise-linear models and algorithms to aid engineers to find an approximation that fits best their applications. The models include piecewise-linear functions with a fixed and maximum number of linear segments, lower and upper envelopes, strategies to ensure continuity, and a generalization of these models for stochastic functions whose data points are random variables. Derived from recursive formulations, the algorithms are applied to the approximation of the production function of gas-lifted oil wells.
Mathematics Subject Classification ID: 65D15
Mathematics Subject Classification ID: 90C90
zbMATH DE Number: 6927459
Wikidata QID: Q59119750
describes a project that uses: CFSQP
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/876862
OpenAlex ID: W1549827771
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description: scientific article; zbMATH DE number 6927459