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- W171857097 abstract "Let f,g : X × Rn → R be continuously differentiable functions of their parameters, and consider the problem $$begin{gathered} find a in {R^n} to min imise left| {f(x,a)} right| hfill subject to g(x,a) leqslant 0, x in X hfill end{gathered} $$where X ⊂ RN is a Cartesian product of closed intervals, and the norm is the Ll norm defined on X . A globally convergent method is given for this problem, based on the use of an exact penalty function, and capable of converging at a second order rate if exact second derivative information is also available. For the particular case of the unconstrained problem, and when X is an interval of the real line, an algorithm is presented, and the effectiveness of this is illustrated by the numerical solution of a number of nonlinear problems." @default.
- W171857097 created "2016-06-24" @default.
- W171857097 creator A5056408551 @default.
- W171857097 date "1982-01-01" @default.
- W171857097 modified "2023-09-28" @default.
- W171857097 title "A Globally Convergent Method for (Constrained) Nonlinear Continuous Ll Approximation Problems" @default.
- W171857097 cites W2501586463 @default.
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- W171857097 doi "https://doi.org/10.1007/978-3-0348-7186-0_18" @default.
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