Optimization and nonsmooth analysis
Citations
17,420 citations
Cites methods from "Optimization and nonsmooth analysis..."
...Our treatment of optimality conditions is thorough but not exhaustive; some concepts are discussed more extensively in Mangasarian [198] and Clarke [62]....
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3,885 citations
Additional excerpts
...Clarke and his students ([Cle1] Section 3....
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2,634 citations
Cites methods from "Optimization and nonsmooth analysis..."
...The use of the subgradient method to solve eigenvalue problems is well known; see, for example, [1], [31], [32], [39] for material on nonsmooth analysis of spectral functions, and [8], [5], [19] for more general background on nonsmooth optimization....
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2,443 citations
Cites background from "Optimization and nonsmooth analysis..."
...A thorough discussion of Clarke generalized gradient and regularity in the sense of Clarke can be found in Clarke [38]....
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...47 and the fact that in the Clarke regular case the directional derivative is the support function of the corresponding Clarke generalized gradient (see [38] for details)....
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1,870 citations