Calculus and applications of Studniarski’s derivatives to sensitivity and implicit function theorems

• Autorzy: Anh N. L. H. , Khanh P. Q.
• Języki publikacji: EN

Abstrakty

EN

We first discuss basic calculus rules for Studniarski’s derivatives. Then, we apply these derivatives to sensitivity analysis of solutions to inclusions and to computing the derivative of implicit multifunctions.

Słowa kluczowe

EN

Studniarski’s derivatives; sum rule; chain rule; product rule; quotient rule; sensitivity analysis; implicit multifunction theorems

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2014
• Tom: Vol. 43, no. 1
• Strony: 33--57
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Anh N. L. H.

• Department of Optimization and System Theory, University of Science of Hochiminh City, 227 Nguyen Van Cu, District 5, Hochiminh City, Vietnam

autor

Khanh P. Q.

• Department of Mathematics, International University, Vietnam National University, Linh Trung, Thu Duc, Hochiminh City, Vietnam; Federation University, Ballarat, Victoria 3350, Australia
• [e-mail]

Bibliografia

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