• 제목/요약/키워드: quesidifferential calculus

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DIFFERENCE OF TWO SETS AND ESTIMATION OF CLARKE GENERALIZED JACOBIAN VIA QUASIDIFFERENTIAL

  • Gao, Yan
    • Journal of applied mathematics & informatics
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    • 제8권2호
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    • pp.473-489
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    • 2001
  • The notion of difference for two convex compact sets in Rⁿ, proposed by Rubinov et al, is generalized to R/sub mxn/. A formula of the difference for the two sets, which are convex hulls of a finite number of points, is developed. In the light of this difference, the relation between Clarke generalized Jacobian and quasidifferential, in the sense of Demyanov and Rubinov, for a nonsnooth function, is established. Based on the relation, the method of estimating Clarke generalized Jacobian via quasidifferential for a certain class of function, is presented.