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Information Journal Paper

Title

A NONMONOTONE TRUST-REGION-APPROACHWITH NONMONOTONE ADAPTIVE RADIUS FORSOLVING NONLINEAR SYSTEMS

Pages

  101-119

Abstract

 This paper presents a trust-region procedure for solving systems of non-linear equations. The proposed approach takes advantages of an effectiveadaptive trust-region radius and a nonmonotone strategy by combining bothof them appropriately. It is believed that selecting an appropriate adaptiveradius based on a suitable nonmonotone strategy can improve the efficiencyand robustness of the TRUST-REGION FRAMEWORK as well as can decrease the com-putational cost of the algorithm by decreasing the number of subproblemsthat must be solved. The global convergence to rst order stationary pointsas well as the local q-quadratic convergence of the proposed approach areproved. Numerical experiments show that the new algorithm is promisingand attractive for solving nonlinear systems.

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    APA: Copy

    AMINI, K., ESMAEILI, H., & KIMIAEI, M.. (2016). A NONMONOTONE TRUST-REGION-APPROACHWITH NONMONOTONE ADAPTIVE RADIUS FORSOLVING NONLINEAR SYSTEMS. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, 6(1 ), 101-119. SID. https://sid.ir/paper/260862/en

    Vancouver: Copy

    AMINI K., ESMAEILI H., KIMIAEI M.. A NONMONOTONE TRUST-REGION-APPROACHWITH NONMONOTONE ADAPTIVE RADIUS FORSOLVING NONLINEAR SYSTEMS. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION[Internet]. 2016;6(1 ):101-119. Available from: https://sid.ir/paper/260862/en

    IEEE: Copy

    K. AMINI, H. ESMAEILI, and M. KIMIAEI, “A NONMONOTONE TRUST-REGION-APPROACHWITH NONMONOTONE ADAPTIVE RADIUS FORSOLVING NONLINEAR SYSTEMS,” IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, vol. 6, no. 1 , pp. 101–119, 2016, [Online]. Available: https://sid.ir/paper/260862/en

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