An ADA library for automatic evaluation of derivatives
type: Item
instance of: scholarly article
title: An ADA library for automatic evaluation of derivatives
zbMATH Open document ID: 0714.65020
DOI: 10.1016/0096-3003(90)90112-G
author: Ronald E. Huss
published in: Applied Mathematics and Computation
publication date: 1990-01-01T00:00:00Z
review text: The paper describes in detail an implementation in ADA language of a set of simple procedures for evaluating derivatives exactly. This evaluation requires no more than the writing of the original function in the usual way using standard mathematical operators and intrinsic functions. The method is applied to nonlinear least squares problems. The ordinary Gauss-Newton algorithm is used but only for problems with two independent variables and two unknown parameters.Two practical numerical examples of parameter estimation are given and a listing of the ADA library used for the evaluations in this paper is included.
Mathematics Subject Classification ID: 65D25
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 93B30
zbMATH DE Number: 4176328
zbMATH Keywords: numerical differentiation
zbMATH Keywords: ADA library
zbMATH Keywords: parameter identification
zbMATH Keywords: nonlinear least squares problems
zbMATH Keywords: Gauss-Newton algorithm
zbMATH Keywords: numerical examples
zbMATH Keywords: parameter estimation
reviewed by: Heiner Mühlig
describes a project that uses: Ada95
MaRDI profile type: Publication
cites work: Wengert's numerical method for partial derivatives, orbit determination and quasilinearization
cites work: Numerical derivatives and nonlinear analysis
cites work: A finite algorithm for the exact evaluation of higher order partial derivatives of functions of many variables
cites work: Nonlinear least squares via automatic derivative evaluation
cites work: Q3713483
cites work: Automatic differentiation: techniques and applications
cites work: A simple automatic derivative evaluation program
full work available at URL: 0096-3003(90)90112-g
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description: scientific article; zbMATH DE number 4176328