Nonlinear least squares via automatic derivative evaluation

DOI10.1016/0096-3003(83)90003-6zbMath0533.65035OpenAlexW2040323445MaRDI QIDQ789873

Asher Tishler, Nima Rasakhoo, Robert E. Kalaba

Publication date: 1983

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(83)90003-6

zbMATH Keywords

Newton-Raphson methodFortran programpartial derivativesnonlinear least squares problemtable method

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical differentiation (65D25) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

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Numerical experiments using Sukhanov's initial-value method for nonlinear two-point boundary value problems—IV, A generalized Newton algorithm using higher-order derivatives, Automatic differentiation in MATLAB, Automatic differentiation: Reduced gradient and reduced Hessian matrix, An ADA library for automatic evaluation of derivatives, A computer program to minimize a function with many variables using computer evaluated exact higher-order derivatives, Generalized Newton algorithm to minimize a function with many variables using computer-evaluated exact higher-order derivatives, Numerical experiments using Sukhanov's initial-value method for nonlinear two-point boundary value problems, Numerical experiments using Sukhanov's initial-value method for nonlinear two-point boundary-value problems. II, Numerical experiments using Sukhanov's initial- value method for nonlinear two-point boundary value problems—III

Cites Work

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• A finite algorithm for the exact evaluation of higher order partial derivatives of functions of many variables
• A simple automatic derivative evaluation program
• Wengert's numerical method for partial derivatives, orbit determination and quasilinearization