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Information Seminar Paper

Title

APPLICABLE APPROACH FOR HIGH ORDER GENERALIZED DERIVATIVES OF NONSMOOTH FUNCTIONS BY USING LINEAR PROGRAMMING

Pages

  -

Abstract

 IN THIS PAPER, WE PROPOSED AN EXTENSION DEFINITION TO DERIVE, SIMULTANEOUSLY, THE FIRST, SECOND AND HIGH ORDER GENERALIZED DERIVATIVES (GDS) FOR NON-SMOOTH FUNCTIONS, IN WHICH THE INVOLVED FUNCTIONS ARE INTEGRABLE BUT NOT NECESSARILY LOCALLY LIPSCHITZ. WE DEFINE A FUNCTIONAL OPTIMIZATION PROBLEM CORRESPONDING TO SMOOTH FUNCTIONS WHERE ITS OPTIMAL SOLUTIONS ARE THE FIRST AND SECOND DERIVATIVES OF THESE FUNCTIONS IN A DOMAIN. THEN APPLYING THESE FUNCTIONAL OPTIMIZATION PROBLEMS TO NO NSMOOTH FUNCTIONS AND USING THIS METHOD, WE OBTAIN GENERALIZED FIRST DERIVATIVE (GFD) AND GENERALIZED SECOND DERIVATIVE (GSD). WE EXTEND THIS APPROACH TO OBTAIN GENERALIZED HIGH ORDER DERIVATIVES (GHODS) OF NON-SMOOTH FUNCTIONS, SIMULTINEOUSLY. FINALLY, TO SHOW THE EFFICIENCY OF OUR APPROACH SOME NUMERICAL EXAMPLES HAVE BEEN PRESENTED.

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  • Cite

    APA: Copy

    Soradi Zeid, Samaneh, & VAHIDIAN KAMYAD, ALI. (2015). APPLICABLE APPROACH FOR HIGH ORDER GENERALIZED DERIVATIVES OF NONSMOOTH FUNCTIONS BY USING LINEAR PROGRAMMING . INTERNATIONAL CONFERENCE OF IRANIAN OPERATIONS RESEARCH SOCIETY. SID. https://sid.ir/paper/920420/en

    Vancouver: Copy

    Soradi Zeid Samaneh, VAHIDIAN KAMYAD ALI. APPLICABLE APPROACH FOR HIGH ORDER GENERALIZED DERIVATIVES OF NONSMOOTH FUNCTIONS BY USING LINEAR PROGRAMMING . 2015. Available from: https://sid.ir/paper/920420/en

    IEEE: Copy

    Samaneh Soradi Zeid, and ALI VAHIDIAN KAMYAD, “APPLICABLE APPROACH FOR HIGH ORDER GENERALIZED DERIVATIVES OF NONSMOOTH FUNCTIONS BY USING LINEAR PROGRAMMING ,” presented at the INTERNATIONAL CONFERENCE OF IRANIAN OPERATIONS RESEARCH SOCIETY. 2015, [Online]. Available: https://sid.ir/paper/920420/en

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