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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 61, 2012 - Issue 4: 24th Mini-EURO Conference on Continuous Optimization and Information-Based Technologies in the Financial Sector, Izmir, Turkey, June 23-26, 2010. Guest Editors: Refail Kasimbeyli, Gerhard-Wilhelm Weber and Cemali Dinçer
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Original Articles

A class of nonmonotone Armijo-type line search method for unconstrained optimization

Masoud Ahookhosh Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran
,
Keyvan Amini Department of Mathematics, Faculty of Science, Razi University, Kermanshah, IranCorrespondence[email protected]
&
Somayeh Bahrami Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran
Pages 387-404 | Received 05 Oct 2010, Accepted 08 Nov 2011, Published online: 06 Jan 2012

Citations (23)

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Masoud Ahookhosh, Ronan M. T. Fleming & Phan T. Vuong. (2022) Finding zeros of Hölder metrically subregular mappings via globally convergent Levenberg–Marquardt methods. Optimization Methods and Software 37:1, pages 113-149.
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Hadi Nosratipour, Omid Solaymani Fard & Akbar Hashemi Borzabadi. (2017) An adaptive nonmonotone global Barzilai–Borwein gradient method for unconstrained optimization. Optimization 66:4, pages 641-655.
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Yi-gui Ou. (2014) A nonmonotone ODE-based method for unconstrained optimization. International Journal of Computer Mathematics 91:8, pages 1840-1860.
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Masoud Ahookhosh, Hamid Esmaeili & Morteza Kimiaei. (2013) An effective trust-region-based approach for symmetric nonlinear systems. International Journal of Computer Mathematics 90:3, pages 671-690.
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Articles from other publishers (19)

Ting Li, Zhong Wan & Jie Guo. (2024) A new nonmonotone spectral projected gradient algorithm for box-constrained optimization problems in real matrix space with application in image clustering . Journal of Computational and Applied Mathematics 438, pages 115563.
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Wenbo Li & Xiaolu Shi. (2024) A Gradient-Based Algorithm with Nonmonotone Line Search for Nonnegative Matrix Factorization. Symmetry 16:2, pages 154.
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Mahmoud Muhammad Yahaya, Poom Kumam, Parin Chaipunya & Thidaporn Seangwattana. (2023) Structured adaptive spectral-based algorithms for nonlinear least squares problems with robotic arm modelling applications. Computational and Applied Mathematics 42:7.
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Abhishek Singh & Debdas Ghosh. (2023) A globally convergent improved BFGS method for generalized Nash equilibrium problems. SeMA Journal.
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Behzad Azmi & Karl Kunisch. (2022) On the convergence and mesh-independent property of the Barzilai–Borwein method for PDE-constrained optimization. IMA Journal of Numerical Analysis 42:4, pages 2984-3021.
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O. P. Ferreira, M. Lemes & L. F. Prudente. (2021) On the inexact scaled gradient projection method. Computational Optimization and Applications 81:1, pages 91-125.
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Geovani N. Grapiglia & Ekkehard W. Sachs. (2020) A generalized worst-case complexity analysis for non-monotone line searches. Numerical Algorithms 87:2, pages 779-796.
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Jing Hu, XiaoLi Qiao, QiongYing Lv, XinMing Zhang & XiaoPing Zhou. (2021) Research on a Numerical Calculation for Ball Bearings Based on a Finite Initial Value Search Method. Mathematical Problems in Engineering 2021, pages 1-13.
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Elias D. Nino-Ruiz. (2018) Implicit surrogate models for trust region based methods. Journal of Computational Science 26, pages 264-274.
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Geovani N. Grapiglia & Ekkehard W. Sachs. (2017) On the worst-case evaluation complexity of non-monotone line search algorithms. Computational Optimization and Applications 68:3, pages 555-577.
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Hadi Nosratipour, Akbar Hashemi Borzabadi & Omid Solaymani Fard. (2017) On the nonmonotonicity degree of nonmonotone line searches. Calcolo 54:4, pages 1217-1242.
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Antonio Boccuto, Ivan Gerace & Francesca Martinelli. (2017) Half-Quadratic Image Restoration with a Non-parallelism Constraint. Journal of Mathematical Imaging and Vision 59:2, pages 270-295.
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Masoud Ahookhosh & Susan Ghaderi. (2017) On efficiency of nonmonotone Armijo-type line searches. Applied Mathematical Modelling 43, pages 170-190.
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Masoud Ahookhosh & Susan Ghaderi. (2015) Two globally convergent nonmonotone trust-region methods for unconstrained optimization. Journal of Applied Mathematics and Computing 50:1-2, pages 529-555.
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Changyuan Li, Qinghua Zhou & Xiao Wu. (2015) A Non-Monotone Trust Region Method with Non-Monotone Wolfe-Type Line Search Strategy for Unconstrained Optimization. Journal of Applied Mathematics and Physics 03:06, pages 707-712.
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Hamid Esmaeili & Morteza Kimiaei. (2014) A new adaptive trust-region method for system of nonlinear equations. Applied Mathematical Modelling 38:11-12, pages 3003-3015.
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Keyvan Amini & Masoud Ahookhosh. (2014) A hybrid of adjustable trust-region and nonmonotone algorithms for unconstrained optimization. Applied Mathematical Modelling 38:9-10, pages 2601-2612.
Crossref
Keyvan Amini, Masoud Ahookhosh & Hadi Nosratipour. (2013) An inexact line search approach using modified nonmonotone strategy for unconstrained optimization. Numerical Algorithms 66:1, pages 49-78.
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Masoud Ahookhosh, Keyvan Amini & Somayeh Bahrami. (2012) Two derivative-free projection approaches for systems of large-scale nonlinear monotone equations. Numerical Algorithms 64:1, pages 21-42.
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