NONMONOTONE

作品数：47被引量：93H指数：5
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相关领域：理学更多>>
相关作者：张著洪更多>>
相关机构：贵州大学更多>>
相关期刊：《Science China Mathematics》《Advances in Computed Tomography》《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》更多>>
相关基金：国家自然科学基金国家教育部博士点基金王宽诚敎育基金上海市教育委员会重点学科基金更多>>
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A nonmonotone inexact Broyden-like algorithm for nonlinear complementarity problems
《Frontiers of Mathematics in China》2025年第1期25-37,共13页Xiaomei DING Ping WANG Changfeng MA 
In this paper,by constructing a new smoothing complementary function,we reformulate the nonlinear complementarity problem as a nonlinear smooth system of equations.Combining non-monotonic line search techniques with a...
关键词：Complementarity problem global convergence local quadratic convergence Broyden-like algorithm 
NONMONOTONE LOCAL MINIMAX METHODS FOR FINDING MULTIPLE SADDLE POINTS
《Journal of Computational Mathematics》2024年第3期851-884,共34页Wei Liu Ziqing Xie Wenfan Yi 
supported by the NSFC(Grant Nos.12171148,11771138);the NSFC(Grant Nos.12101252,11971007);the NSFC(Grant No.11901185);the National Key R&D Program of China(Grant No.2021YFA1001300);by the Fundamental Research Funds for the Central Universities(Grant No.531118010207).
In this paper,by designing a normalized nonmonotone search strategy with the BarzilaiBorwein-type step-size,a novel local minimax method(LMM),which is a globally convergent iterative method,is proposed and analyzed to...
关键词：Multiple saddle points Local minimax method Barzilai-Borwein gradient method Normalized nonmonotone search strategy Global convergence 
A new class of generalized quasi-variational inequalities with applications to Oseen problems under nonsmooth boundary conditions
《Science China Mathematics》2024年第2期315-338,共24页Shengda Zeng Akhtar A.Khan Stanislaw Migórski 
The first author was supported by the Guangxi Natural Science Foundation of China(Grant No.2021GXNSFFA196004);National Natural Science Foundation of China(Grant No.12001478);Horizon 2020 of the European Union(Grant No.823731 CONMECH);National Science Center of Poland(Grant No.2017/25/N/ST1/00611);The second author was supported by National Science Foundation of USA(Grant No.DMS 1720067);The third author was supported by the National Science Center of Poland(Grant No.2021/41/B/ST1/01636);the Ministry of Science and Higher Education of Poland(Grant Nos.4004/GGPJII/H2020/2018/0 and 440328/PnH2/2019)。
In this paper, we study a generalized quasi-variational inequality (GQVI for short) with twomultivalued operators and two bifunctions in a Banach space setting. A coupling of the Tychonov fixedpoint principle and the ...
关键词：generalized quasi-variational inequality existence theorem optimal control Kakutani-Ky Fan theorem Oseen problem non-Newtonian fluid nonmonotone slip boundary condition 
A New Nonmonotone Adaptive Trust Region Method被引量：1
《Journal of Applied Mathematics and Physics》2021年第12期3102-3114,共13页Yang Zhang Quanming Ji Qinghua Zhou 
The trust region method plays an important role in solving optimization problems. In this paper, we propose a new nonmonotone adaptive trust region method for solving unconstrained optimization problems. Actually, we ...
关键词：Unconstrained Optimization Trust Region Method Nonmonotone Technique Global Convergence Superlinear Convergence 
EXISTENCE AND CONVERGENCE RESULTS FOR AN ELASTIC FRICTIONAL CONTACT PROBLEM WITH NONMONOTONE SUBDIFFERENTIAL BOUNDARY CONDITIONS
《Acta Mathematica Scientia》2021年第4期1151-1168,共18页Yongjian LIU Stanisiaw MIGÓRSKI Van Thien NGUYEN Shengda ZHENG 
The project supported by the NNSF of China Grants Nos.12001478,12026255,12026256 and 11961074,H2020-MSCA-RISE-2018 Research;Innovation Staff Exchange Scheme Fellowship within the Project No.823731 CONMECH;National Science Center of Poland under Preludium Project No.2017/25/N/ST1/00611;It is also supported by the Startup Project of Doctor Scientific Research of Yulin Normal University No.G2020ZK07;Natural Science Foundation of Guangxi Province Grants Nos.2018GXNSFDA281028 and 2020GXNSFBA297137;the High Level Innovation Team Program from Guangxi Higher Education Institutions of China(Document no.[2018]35).
The goal of this paper is to study a mathematical model of a nonlinear static frictional contact problem in elasticity with the mixed boundary conditions described by a combination of the Signorini unilateral friction...
关键词：Mixed variational-hemi variational inequality H-convergence HOMOGENIZATION Clarke subgradient Lagrange multiplier elasticity operator 
A New Nonmonotone Trust Region Barzilai-Borwein Method for Unconstrained Optimization Problems被引量：1
《Acta Mathematicae Applicatae Sinica》2021年第1期166-175,共10页Xing LI Wen-li DONG Zheng PENG 
supported by the National Natural Science Foundation of China(Nos.12071398,11671125,11571074,61977017);the Natural Science Foundation of Hunan Province(No.2020JJ4567);the Key Scientific Research Found of Hunan Education Department(No.20A097)。
In this paper,we propose a new nonmonotone trust region Barzilai-Borwein(BB for short)method for solving unconstrained optimization problems.The proposed method is given by a novel combination of a modified Metropolis...
关键词：Barzilai-Borwein method trust region method nonmonotone technique Metropolis criterion global convergence 
A Scaled Conjugate Gradient Method Based on New BFGS Secant Equation with Modified Nonmonotone Line Search
《American Journal of Computational Mathematics》2020年第1期1-22,共22页Tsegay Giday Woldu Haibin Zhang Yemane Hailu Fissuh 
In this paper, we provide and analyze a new scaled conjugate gradient method and its performance, based on the modified secant equation of the Broyden-Fletcher-Goldfarb-Shanno (BFGS) method and on a new modified nonmo...
关键词：Conjugate Gradient METHOD BFGS METHOD MODIFIED SECANT EQUATION NONMONOTONE Line Search Nonsmooth Optimization 
Minimal wave speed of a diffusive SIR epidemic model with nonlocal delay
《International Journal of Biomathematics》2019年第7期179-197,共19页Fuzhen Wu Dongfeng Li 
The second author was supported by the National Key Research and DevelopmentProgram of China (No. 2016YFC0402502)。
This paper is concerned with the minimal wave speed in a diffusive epidemic model with nonlocal delays.We define a threshold.By presenting the existence and the nonexistence of traveling wave solutions for all positiv...
关键词：Upper-lower solutions asymptotic spreading nonmonotone system 
A randomized nonmonotone adaptive trust region method based on the simulated annealing strategy for unconstrained optimization
《International Journal of Intelligent Computing and Cybernetics》2019年第3期389-399,共11页Saman Babaie-Kafaki Saeed Rezaee 
the anonymous reviewers for their valuable comments and suggestions helped to improve the quality of this work.
Purpose–The purpose of this paper is to employ stochastic techniques to increase efficiency of the classical algorithms for solving nonlinear optimization problems.Design/methodology/approach–The well-known simulate...
关键词：Nonlinear programming Simulated annealing Adaptive radius Trust region method Unconstrained optimization 
A Reweighted Total Variation Algorithm with the Alternating Direction Method for Computed Tomography
《Advances in Computed Tomography》2019年第1期1-9,共9页Xiezhang Li Jiehua Zhu 
A variety of alternating direction methods have been proposed for solving a class of optimization problems. The applications in computed tomography (CT) perform well in image reconstruction. The reweighted schemes wer...
关键词：COMPUTED TOMOGRAPHY NONMONOTONE ALTERNATING Direction ALGORITHM Reweighted ALGORITHM 
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