Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
NONSMOOTHNESS AND QUASIDIFFERENTIABILITY. / Demyanov, V. F.; Polyakova, L. N.; Rubinov, A. M.
в: Mathematical Programming Study, № 29, 01.05.1986, стр. 1-19.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
}
TY - JOUR
T1 - NONSMOOTHNESS AND QUASIDIFFERENTIABILITY.
AU - Demyanov, V. F.
AU - Polyakova, L. N.
AU - Rubinov, A. M.
PY - 1986/5/1
Y1 - 1986/5/1
N2 - It is first shown that quasidifferentiable functions form a very distinct class of nondifferentiable functions. It is demonstrated that we do not need to consider any other class of nonsmooth functions, at least from the point of view of first-order approximation. The heart of quasidifferential calculus is the concept of a quasidifferential - this replaces the concept of a gradient in the smooth case and that of a subdifferential in the convex case.
AB - It is first shown that quasidifferentiable functions form a very distinct class of nondifferentiable functions. It is demonstrated that we do not need to consider any other class of nonsmooth functions, at least from the point of view of first-order approximation. The heart of quasidifferential calculus is the concept of a quasidifferential - this replaces the concept of a gradient in the smooth case and that of a subdifferential in the convex case.
UR - http://www.scopus.com/inward/record.url?scp=0022721062&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0022721062
SP - 1
EP - 19
JO - Mathematical Programming
JF - Mathematical Programming
SN - 0025-5610
IS - 29
ER -
ID: 36585509