A chain rule for nonsmooth composite functions via minimisation
1994 ◽
Vol 49
(1)
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pp. 129-137
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Keyword(s):
A Chain
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Nonsmooth calculus using the approximate subdifferential of Mordukhovich and loffe admits a sharper chain rule, hence sharper applications in optimisation, than does the generalised gradient of Clarke. We observe, however, that at a local minimum point of the composition of nonsmooth vector valued and real valued functions, the generalised gradient admits a special, relatively sharp chain rule, that yields sharper results than have been seen before in the context of the generalised gradient.
2009 ◽
Vol 139
(2)
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pp. 427-448
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Keyword(s):
Keyword(s):
2014 ◽
Vol 519-520
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pp. 1337-1341
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Keyword(s):
1998 ◽
Vol 128
(4)
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pp. 809-819
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2013 ◽
Vol 427-429
◽
pp. 1714-1717
2013 ◽
Vol 380-384
◽
pp. 1414-1417