A new algorithm for nonlinear \(L_ 1\)-norm minimization with nonlinear equality constraints

DOI10.1016/0167-9473(91)90056-8zbMath0850.62585OpenAlexW2004671610MaRDI QIDQ1896061

A. H. Rouhi, G. S. Christensen, S. A. Soliman

Publication date: 17 August 1995

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-9473(91)90056-8

zbMATH Keywords

optimal controlequality constraintsNonlinear estimationleast squares (LS), Least absolute value (LAV)nonlinear \(L_ 1\)-norm

Mathematics Subject Classification ID

Linear inference, regression (62J99) Numerical optimization and variational techniques (65K10) Probabilistic methods, stochastic differential equations (65C99)

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Cites Work

• Parameter estimation in linear static systems based on weighted least absolute value estimation
• Nonlinear Curve-Fitting in the L 1 and L ∞ Norms
• An Algorithm for $l_1 $-Norm Minimization with Application to Nonlinear $l_1 $-Approximation