关于可分离非线性最小二乘问题的一个注记

W. Gharibi, O. Al-Mushayt
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引用次数: 0

摘要

可分离非线性最小二乘问题是一类特殊的非线性最小二乘问题,其目标函数是线性函数和非线性函数的混合。它在许多不同的领域有许多应用,特别是在运筹学和计算机科学方面。它们很难用无穷范数度规求解。本文简要介绍了可分离非线性最小二乘问题,即NLS的不可分离格式,并提出了一种求解混合线性-非线性最小化问题的算法,该算法可求解一系列可分离最小二乘问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Note on Separable Nonlinear Least Squares Problem
Separable nonlinear least squares (SNLS) problem is a special class of nonlinear least squares (NLS) problems, whose objective function is a mixture of linear and nonlinear functions. It has many applications in many different areas, especially in Operations Research and Computer Sciences. They are difficult to solve with the infinite-norm metric. In this paper, we give a short note on the separable nonlinear least squares problem, unseparated scheme for NLS, and propose an algorithm for solving mixed linear-nonlinear minimization problem, method of which results in solving a series of least squares separable problems.
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