Two Descent Dai-Yuan Conjugate Gradient Methods for Systems of Monotone Nonlinear Equations
In this paper, we present two Dai-Yuan type iterative methods for solving large-scale systems of nonlinear monotone equations. The methods can be considered as extensions of the classical Dai-Yuan conjugate gradient method for unconstrained optimization. By employing two different approaches, the Da...
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| Vydané v: | Journal of scientific computing Ročník 90; číslo 1; s. 36 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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New York
Springer US
01.01.2022
Springer Nature B.V |
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| ISSN: | 0885-7474, 1573-7691 |
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| Abstract | In this paper, we present two Dai-Yuan type iterative methods for solving large-scale systems of nonlinear monotone equations. The methods can be considered as extensions of the classical Dai-Yuan conjugate gradient method for unconstrained optimization. By employing two different approaches, the Dai-Yuan method is modified to develop two different search directions, which are combined with the hyperplane projection technique of Solodov and Svaiter. The first search direction was obtained by carrying out eigenvalue study of the search direction matrix of an adaptive DY scheme, while the second is obtained by minimizing the distance between two adaptive versions of the DY method. Global convergence of the methods are established under mild conditions and preliminary numerical results show that the proposed methods are promising and more effective compared to some existing methods in the literature. |
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| AbstractList | In this paper, we present two Dai-Yuan type iterative methods for solving large-scale systems of nonlinear monotone equations. The methods can be considered as extensions of the classical Dai-Yuan conjugate gradient method for unconstrained optimization. By employing two different approaches, the Dai-Yuan method is modified to develop two different search directions, which are combined with the hyperplane projection technique of Solodov and Svaiter. The first search direction was obtained by carrying out eigenvalue study of the search direction matrix of an adaptive DY scheme, while the second is obtained by minimizing the distance between two adaptive versions of the DY method. Global convergence of the methods are established under mild conditions and preliminary numerical results show that the proposed methods are promising and more effective compared to some existing methods in the literature. |
| ArticleNumber | 36 |
| Author | Waziri, Mohammed Yusuf Ahmed, Kabiru |
| Author_xml | – sequence: 1 givenname: Mohammed Yusuf orcidid: 0000-0001-7112-659X surname: Waziri fullname: Waziri, Mohammed Yusuf email: mywaziri.mth@buk.edu.ng organization: Numerical Optimization Research Group, Bayero University – sequence: 2 givenname: Kabiru surname: Ahmed fullname: Ahmed, Kabiru organization: Numerical Optimization Research Group, Bayero University |
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| Cites_doi | 10.1155/2012/569795 10.1155/2018/4813030 10.1080/01630563.2018.1535506 10.1080/10556788.2017.1338288 10.1080/02331934.2020.1778689 10.1155/2019/5976595 10.1007/s40324-020-00228-9 10.1016/j.matcom.2021.03.020 10.1186/s13660-016-1239-1 10.1142/S0219876220500437 10.1023/A:1021898630001 10.1016/j.mcm.2009.04.007 10.1137/0723046 10.1007/s00186-006-0140-y 10.1007/s40065-019-0264-6 10.2306/scienceasia1513-1874.2014.40.295 10.1016/j.ejor.2013.11.012 10.1137/S1052623499357957 10.1137/100813026 10.5402/2012/435495 10.1007/s10957-014-0547-1 10.1007/978-1-4757-6388-1_18 10.3934/jimo.2010.6.149 10.1007/s10957-015-0786-9 10.1137/0509060 10.1007/b98874 10.1287/opre.26.6.1073 10.1155/2015/961487 10.1007/s40314-021-01624-1 10.1016/j.cam.2010.01.001 10.1080/10556788.2013.833199 10.17535/crorr.2018.0006 10.1137/080743573 10.1016/0041-5553(69)90035-4 10.1016/j.jmaa.2013.04.017 10.1016/j.cam.2012.10.002 10.1016/j.cam.2006.03.005 10.1007/s002450010019 10.1007/s11075-017-0299-8 10.1007/s101070100263 10.1080/10556780500137041 10.1016/j.cam.2015.03.014 10.1007/s11075-019-00836-1 10.3934/jimo.2016017 10.1080/02331934.2014.938072 10.11113/mjfas.v15n2019.1085 10.1016/j.cam.2005.10.002 10.1007/s40065-018-0206-8 10.1080/00207160.2018.1494825 10.1080/02331934.2018.1482490 10.1007/s11081-008-9064-0 10.1007/s41980-018-0163-1 10.1137/0111030 10.1007/s11075-015-9961-1 10.1007/s001860300302 10.1007/s10589-006-6444-2 10.1016/j.cam.2004.02.013 10.1080/02331939708844339 10.6028/jres.049.044 10.1016/j.camwa.2014.09.019 10.3934/jimo.2013.9.117 |
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| References | Dai, Chen, Wen (CR15) 2015; 270 Li, Fukushima (CR38) 2000; 13 Grippo, Lampariello, Lucidi (CR21) 1986; 23 Babaie-Kafaki, Ghanbari (CR7) 2014; 68 Cheng (CR10) 2009; 50 Zhang, Wang (CR75) 2003; 58 Zhou, Shen (CR80) 2015; 164 Hively (CR26) 1978; 9 Waziri, Leong, Hassan (CR60) 2011; 5 Dai, Liao (CR12) 2001; 43 Waziri, Ahmed, Sabi’u, Halilu (CR65) 2021; 78 Ahmed, Al-Naemi (CR1) 2012; 53 Kobayashi, Narushima, Yabe (CR32) 2017 CR35 Nocedal, Wright (CR47) 1999 Perry (CR50) 1978; 26 Wu, Li, Yuan (CR66) 2018; 2018 Dong, He (CR18) 2010; 31 Livieris, Pintelas (CR43) 2012; 218 Dolan, Mor (CR17) 2002; 91 Narushima, Yabe, Ford (CR46) 2011; 21 Yu (CR70) 2011; 7 Zhang, Liu, Liu (CR78) 2018 Sun, Yuan (CR57) 2006 Yuan (CR72) 2009; 10 Halilu, Majumder, Waziri, Awwal, Ahmed (CR24) 2021; 40 Andrei (CR3) 2013; 241 Keyvan, Ahmad (CR30) 2015; 70 Mompati, Koorapetse, Kaelo (CR45) 2018; 7 Hestenes, Stiefel (CR25) 1952; 49 La Cruz (CR36) 2017; 76 Babaie-Kafaki, Ghanbari (CR5) 2013; 29 Fasano, Lampariello, Sciandrone (CR19) 2006; 34 Liu, Wu (CR41) 2014; 40 Solodov, Svaiter, Fukushima, Qi (CR56) 1998 Yuan, Wang, Sheng (CR74) 2019; 96 Waziri, Ahmed, Sabi’u (CR62) 2020; 9 Yu, Niu, Ma (CR71) 2013; 9 Waziri, Ahmed, Sabi’u (CR61) 2019; 361 CR42 Babaie-Kafaki, Ghanbari (CR8) 2015; 64 Jinkui, Xianglin, Kairong (CR28) 2012; 2012 Li, Tang, Wei (CR39) 2007; 202 Halilu, Majumder, Waziri, Ahmed (CR23) 2021 Dai, Yuan (CR14) 2000 Andrei (CR2) 2011; 34 Hager, Zhang (CR22) 2006; 2 Koorapetse, Kaelo, Offen (CR34) 2018; 45 Dai, Kou (CR11) 2013; 23 Waziri, Usman, Halilu, Ahmed (CR64) 2020 Fatemi (CR20) 2016; 169 Polak, Ribiìre (CR52) 1969; 16 CR59 Yan, Peng, Li (CR68) 2010; 234 Shiker, Amini (CR54) 2018; 9 Wang, Wang, Xu (CR58) 2007; 66 Zhou, Wang (CR81) 2015; 261 Solodov, Iusem (CR55) 1997; 41 Marquardt (CR44) 1963; 11 Peiting, Chuanjiang (CR49) 2018; 67 Arzuka, Abu Bakar, Leon (CR4) 2016; 2016 Bouaricha, Schnabel (CR9) 1998; 82 Polak (CR51) 1969; 4 Li, Fukushima (CR37) 2000; 37 Dai, Yuan (CR13) 1999; 10 Liu, Du (CR40) 2019; 2019 Xiao, Zhu (CR67) 2013; 405 Zhang, Deng, Chen (CR77) 1999; 102 Sabi’u, Shah, Waziri, Ahmed (CR53) 2020 Kincaid, Cheney (CR31) 1991 Ortega, Rheinboldt (CR48) 1970 Dauda, Mamat, Mohamed, Waziri (CR16) 2019; 15 Zhang, Zhou (CR76) 2006; 196 Jinkui, Shengjie (CR27) 2017; 13 Zhao, Li (CR79) 2001; 11 Babaie-Kafaki, Ghanbari (CR6) 2014; 234 Kanzow, Yamashita, Fukushima (CR29) 2004; 172 Yuan, Zhang (CR73) 2015; 286 Zhou, Zhang (CR82) 2006; 21 Waziri, Ahmed, Sabi’u (CR63) 2020; 85 Koorapetse, Kaelo (CR33) 2020; 28 Yu (CR69) 2010; 6 M Fatemi (1713_CR20) 2016; 169 MV Solodov (1713_CR56) 1998 G Fasano (1713_CR19) 2006; 34 D Kincaid (1713_CR31) 1991 1713_CR59 AS Halilu (1713_CR23) 2021 MY Waziri (1713_CR63) 2020; 85 WW Hager (1713_CR22) 2006; 2 Y Narushima (1713_CR46) 2011; 21 MV Solodov (1713_CR55) 1997; 41 YB Zhao (1713_CR79) 2001; 11 MY Waziri (1713_CR60) 2011; 5 S Babaie-Kafaki (1713_CR6) 2014; 234 J Zhang (1713_CR75) 2003; 58 N Andrei (1713_CR3) 2013; 241 MK Dauda (1713_CR16) 2019; 15 AS Halilu (1713_CR24) 2021; 40 J Sabi’u (1713_CR53) 2020 M Koorapetse (1713_CR34) 2018; 45 W Sun (1713_CR57) 2006 MY Waziri (1713_CR64) 2020 J Liu (1713_CR41) 2014; 40 G Yuan (1713_CR74) 2019; 96 H Kobayashi (1713_CR32) 2017 W La Cruz (1713_CR36) 2017; 76 S Mompati (1713_CR45) 2018; 7 MY Waziri (1713_CR61) 2019; 361 ED Dolan (1713_CR17) 2002; 91 1713_CR42 YH Dai (1713_CR11) 2013; 23 L Zhang (1713_CR76) 2006; 196 W Cheng (1713_CR10) 2009; 50 J Nocedal (1713_CR47) 1999 MY Waziri (1713_CR65) 2021; 78 JZ Zhang (1713_CR77) 1999; 102 GA Hively (1713_CR26) 1978; 9 DH Li (1713_CR38) 2000; 13 BT Polak (1713_CR51) 1969; 4 A Keyvan (1713_CR30) 2015; 70 AK Shiker (1713_CR54) 2018; 9 G Yu (1713_CR69) 2010; 6 K Zhang (1713_CR78) 2018 S Babaie-Kafaki (1713_CR5) 2013; 29 A Bouaricha (1713_CR9) 1998; 82 1713_CR35 N Andrei (1713_CR2) 2011; 34 G Peiting (1713_CR49) 2018; 67 MY Waziri (1713_CR62) 2020; 9 G Yuan (1713_CR73) 2015; 286 YH Dai (1713_CR14) 2000 GH Yu (1713_CR71) 2013; 9 W Zhou (1713_CR81) 2015; 261 W Zhou (1713_CR82) 2006; 21 A Perry (1713_CR50) 1978; 26 Y Xiao (1713_CR67) 2013; 405 M Koorapetse (1713_CR33) 2020; 28 DW Marquardt (1713_CR44) 1963; 11 L Jinkui (1713_CR28) 2012; 2012 JM Ortega (1713_CR48) 1970 E Polak (1713_CR52) 1969; 16 S Babaie-Kafaki (1713_CR8) 2015; 64 Z Dai (1713_CR15) 2015; 270 DH Li (1713_CR37) 2000; 37 IE Livieris (1713_CR43) 2012; 218 W Zhou (1713_CR80) 2015; 164 I Arzuka (1713_CR4) 2016; 2016 YH Dai (1713_CR12) 2001; 43 L Jinkui (1713_CR27) 2017; 13 G Yu (1713_CR70) 2011; 7 C Kanzow (1713_CR29) 2004; 172 J Liu (1713_CR40) 2019; 2019 Y Yuan (1713_CR72) 2009; 10 HI Ahmed (1713_CR1) 2012; 53 S Babaie-Kafaki (1713_CR7) 2014; 68 CW Wang (1713_CR58) 2007; 66 L Grippo (1713_CR21) 1986; 23 G Li (1713_CR39) 2007; 202 YH Dai (1713_CR13) 1999; 10 X Dong (1713_CR18) 2010; 31 QR Yan (1713_CR68) 2010; 234 MR Hestenes (1713_CR25) 1952; 49 G Wu (1713_CR66) 2018; 2018 |
| References_xml | – volume: 2012 start-page: 569795 year: 2012 ident: CR28 article-title: A mixed spectral conjugate descent-Dai-Yuan conjugate gradient method publication-title: J. Appl. Math. doi: 10.1155/2012/569795 – volume: 286 start-page: 186 year: 2015 end-page: 195 ident: CR73 article-title: A three term Polak-Ribiere-Polyak conjugate gradient algorithm for large-scale nonlinear equations publication-title: J. Comput. Appl. Math. – volume: 241 start-page: 19 year: 2013 end-page: 29 ident: CR3 article-title: A simple three-term conjugate gradient algorithm for unconstrained optimization publication-title: J. Comput. Appl. Math. – volume: 29 start-page: 583 issue: 3 year: 2013 end-page: 591 ident: CR5 article-title: A descent family of Dai-Liao conjugate gradient methods publication-title: Optim. Methods Softw. – volume: 234 start-page: 625 year: 2014 end-page: 630 ident: CR6 article-title: The Dai-Liao nonlinear conjugate gradient method with optimal parameter choices publication-title: Eur. J. Oper. Res. – volume: 172 start-page: 375 year: 2004 end-page: 397 ident: CR29 article-title: Levenberg-Marquardt methods for constrained nonlinear equations with strong local convergence properties publication-title: J. Comput. Appl. Math. – volume: 169 start-page: 587 issue: 2 year: 2016 end-page: 605 ident: CR20 article-title: An optimal parameter for Dai-Liao family of conjugate gradient methods publication-title: J. Optim. Theory Appl. – volume: 2018 start-page: 4813030 year: 2018 ident: CR66 article-title: A three-term conjugate gradient algorithm with quadratic convergence for Unconstrained optimization problems publication-title: Hindawi Math. Probl. Eng. doi: 10.1155/2018/4813030 – volume: 4 start-page: 94 year: 1969 end-page: 112 ident: CR51 article-title: The conjugate gradient method in extreme problems publication-title: USSR Comput. Math. Math. Phys. – volume: 53 start-page: 620 issue: 3 year: 2012 end-page: 628 ident: CR1 article-title: A modified Dai-Yuan conjugate gradient method and its global convergence publication-title: Iraqi J. Sci. – volume: 361 start-page: 645 year: 2019 end-page: 660 ident: CR61 article-title: A family of Hager-Zhang conjugate gradient methods for system of monotone nonlinear equations publication-title: Appl. Math. Comput. – volume: 202 start-page: 523 issue: 2 year: 2007 end-page: 539 ident: CR39 article-title: New conjugacy condition and related new conjugate gradient methods for unconstrained optimization publication-title: J. Comput. Appl. Math. – volume: 41 start-page: 257 issue: 3 year: 1997 end-page: 27 ident: CR55 article-title: Newton-type methods with generalized distances for constrained optimization publication-title: Optimization – year: 2018 ident: CR78 article-title: A New Dai-Liao conjugate gradient method with optimal parameter choice publication-title: Numer. Funct. Anal. Optim. doi: 10.1080/01630563.2018.1535506 – volume: 23 start-page: 707 year: 1986 end-page: 716 ident: CR21 article-title: A nonmonotone linesearch technique for Newton’s method publication-title: SIAM J. Numer. Anal. – ident: CR35 – volume: 10 start-page: 177 issue: 1 year: 1999 end-page: 182 ident: CR13 article-title: A Nonlinear conjugate gradient method with a strong global convergence property publication-title: Soc. Ind. Appl. Math. – volume: 11 start-page: 962 year: 2001 end-page: 973 ident: CR79 article-title: Monotonicity of fixed point and normal mappings associated with variational inequality and its application publication-title: SIAM J. Optim. – volume: 40 start-page: 239 year: 2021 ident: CR24 article-title: On solving double direction methods for convex constrained monotone nonlinear equations with image restoration publication-title: Comput. Appl. Math. – year: 2017 ident: CR32 article-title: Descent three-term conjugate gradient methods based on secant conditions for unconstrained optimization publication-title: Optim. Methods Softw. doi: 10.1080/10556788.2017.1338288 – volume: 2 start-page: 35 issue: 1 year: 2006 end-page: 58 ident: CR22 article-title: A survey of nonlinear conjugate gradient methods publication-title: Pac. J. Optim. – volume: 13 start-page: 283 issue: 1 year: 2017 end-page: 297 ident: CR27 article-title: Multivariate spectral projection method for convex constrained nonlinear monotone equations publication-title: J. Ind. Manag. Optim. – ident: CR42 – volume: 96 start-page: 1533 issue: 8 year: 2019 end-page: 1547 ident: CR74 article-title: The Hager-Zhang conjugate gradient algorithm for large-scale nonlinear equations publication-title: Int. J. Comput Math. – volume: 234 start-page: 649 year: 2010 end-page: 657 ident: CR68 article-title: A globally convergent derivative-free method for solving large-scale nonlinear monotone equations publication-title: J. Comput. Appl. Math. – volume: 7 start-page: 387 year: 2011 end-page: 404 ident: CR70 article-title: Nonmonotone spectral gradient-type methods for large-scale unconstrained optimization and nonlinear systems of equations publication-title: Pac. J. Optim. – volume: 37 start-page: 152 issue: 1 year: 2000 end-page: 172 ident: CR37 article-title: A globally and superlinearly convergent Gauss–Newton-based BFGS method for symmetric nonlinear equations publication-title: SIAM J. Numer. Anal. – volume: 9 start-page: 443 year: 2020 end-page: 457 ident: CR62 article-title: A Dai-Liao conjugate gradient method via modified secant equation for system of nonlinear equations publication-title: Arab. J. Math. – volume: 21 start-page: 707 issue: 5 year: 2006 end-page: 714 ident: CR82 article-title: A nonlinear conjugate gradient method based on the MBFGS secant condition publication-title: Optim. Methods Softw. – volume: 82 start-page: 377 year: 1998 end-page: 400 ident: CR9 article-title: Tensor methods for large sparse systems of nonlinear equations publication-title: Math. Program. – year: 1970 ident: CR48 publication-title: Iterative Solution of Nonlinear Equations in Several Variables – year: 2006 ident: CR57 publication-title: Optimization Theory and Methods: Nonlinear Programming – volume: 218 start-page: 9197 year: 2012 end-page: 9207 ident: CR43 article-title: Globally convergent modified Perrys conjugate gradient method publication-title: Appl. Math. Comput. – volume: 40 start-page: 295 year: 2014 end-page: 300 ident: CR41 article-title: New three-term conjugate gradient method for solving unconstrained optimization problems publication-title: ScienceAsia. – year: 2020 ident: CR64 article-title: Modified matrix-free methods for solving systems of nonlinear equations publication-title: Optimization doi: 10.1080/02331934.2020.1778689 – volume: 164 start-page: 277 issue: 1 year: 2015 end-page: 289 ident: CR80 article-title: Convergence properties of an iterative method for solving symmetric non-linear equations publication-title: J. Optim. Theory Appl. – volume: 9 start-page: 117 year: 2013 end-page: 129 ident: CR71 article-title: Multivariate spectral gradient projection method for non-linear monotone equations with convex constraints publication-title: J. Ind. Manag. Optim. – volume: 26 start-page: 1073 issue: 6 year: 1978 end-page: 1078 ident: CR50 article-title: A modified conjugate gradient algorithm publication-title: Oper. Res. Tech. Notes. – volume: 34 start-page: 319 issue: 2 year: 2011 end-page: 330 ident: CR2 article-title: Open problems in conjugate gradient algorithms for unconstrained optimization publication-title: Bull. Malays. Math. Sci. Soc. – volume: 9 start-page: 63 year: 2018 end-page: 73 ident: CR54 article-title: A new projection-based algorithm for solving a large-scale nonlinear system of nonlinear equations publication-title: Croat. Oper. Res. Rev. – volume: 2019 start-page: 5976595 year: 2019 ident: CR40 article-title: Modified three-term conjugate gradient method and its applications publication-title: Hindawi Mathematical Problems in Engineering doi: 10.1155/2019/5976595 – volume: 23 start-page: 296 year: 2013 end-page: 320 ident: CR11 article-title: A nonlinear conjugate gradient algorithm with an optimal property and an improved Wolfe line search publication-title: SIAM J. Optim. – volume: 49 start-page: 409 year: 1952 end-page: 436 ident: CR25 article-title: Methods of conjugate gradients for solving linear systems publication-title: J. Res. Nat. Bur. Stand. – year: 1991 ident: CR31 publication-title: Numerical Analysis – volume: 43 start-page: 87 issue: 1 year: 2001 end-page: 101 ident: CR12 article-title: New conjugacy conditions and related nonlinear conjugate gradient methods publication-title: Appl. Math. Optim. – volume: 64 start-page: 2277 year: 2015 end-page: 2287 ident: CR8 article-title: Two optimal Dai-Liao conjugate gradient methods publication-title: Optimization – volume: 70 start-page: 559 issue: 3 year: 2015 end-page: 570 ident: CR30 article-title: A new line search strategy for finding separating hyperplane in projection-based methods publication-title: Numer. Algorithms – volume: 78 start-page: 15 year: 2021 end-page: 51 ident: CR65 article-title: Enhanced Dai-Liao conjugate gradient methods for systems of monotone nonlinear equations publication-title: SeMA J. doi: 10.1007/s40324-020-00228-9 – year: 2000 ident: CR14 publication-title: Nonlinear Conjugate Gradient Methods – volume: 405 start-page: 310 year: 2013 end-page: 319 ident: CR67 article-title: A conjugate gradient method to solve convex constrained monotone equations with applications in compressive sensing publication-title: J. Math. Anal. Appl. – volume: 270 start-page: 378 year: 2015 end-page: 386 ident: CR15 article-title: A modified Perry’s conjugate gradient method-based derivative-free method for solving large-scale nonlinear monotone equation publication-title: Appl. Math. Comput. – year: 2021 ident: CR23 article-title: Signal recovery with convex constrained nonlinear monotone equations through conjugate gradient hybrid approach publication-title: Math. Comput. Simul. doi: 10.1016/j.matcom.2021.03.020 – volume: 16 start-page: 35 year: 1969 end-page: 43 ident: CR52 article-title: Note sur la convergence de méthodes de directions conjuguées publication-title: Rev. Fr. Inform. Rech. Oper. – volume: 91 start-page: 201 issue: 2, Ser. A year: 2002 end-page: 2013 ident: CR17 article-title: Benchmarking optimization software with performance profiles publication-title: Math. Program. – volume: 68 start-page: 2005 year: 2014 end-page: 2011 ident: CR7 article-title: A descent extension of of the Polak-Ribier -Polyak conjugate gradient method publication-title: Comput. Math. Appl. – start-page: 355 year: 1998 end-page: 369 ident: CR56 article-title: A globally convergent inexact Newton method for systems of monotone equations publication-title: Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods – volume: 85 start-page: 763 year: 2020 end-page: 785 ident: CR63 article-title: Descent Perry conjugate gradient methods for systems of monotone nonlinear equations publication-title: Numer. Algorithms – volume: 45 start-page: 755 issue: 3 year: 2018 end-page: 770 ident: CR34 article-title: A scaled derivative-free projection method for solving nonlinear monotone equations publication-title: Bull. Iran. Math. Soc. – volume: 58 start-page: 283 year: 2003 end-page: 298 ident: CR75 article-title: A new trust region method for nonlinear equations publication-title: Math. Methods Oper. Res. – volume: 2016 start-page: 325 year: 2016 ident: CR4 article-title: A scaled three-term conjugate gradient method for unconstrained optimization publication-title: J. Ineq. Appl. doi: 10.1186/s13660-016-1239-1 – volume: 76 start-page: 1109 year: 2017 end-page: 1130 ident: CR36 article-title: A spectral algorithm for large-scale systems of nonlinear monotone equations publication-title: Numer. Algorithms – volume: 7 start-page: 289 issue: 4 year: 2018 end-page: 301 ident: CR45 article-title: Globally convergent three-term conjugate gradient projection methods for solving nonlinear monotone equations publication-title: Arab. J. Math. – volume: 66 start-page: 33 year: 2007 end-page: 46 ident: CR58 article-title: A projection method for a system of nonlinear monotone equations with convex constraints publication-title: Math. Methods Oper. Res. – year: 1999 ident: CR47 publication-title: Numerical Optimization – volume: 67 start-page: 1631 year: 2018 end-page: 1648 ident: CR49 article-title: A derivative-free three-term projection algorithm involving spectral quotient for solving nonlinear monotone equations publication-title: Optimization – volume: 15 start-page: 117 issue: 1 year: 2019 end-page: 120 ident: CR16 article-title: Improved quasi-Newton method via SR1 update for solving symmetric systems of nonlinear equations publication-title: Malay. J. Fund. Appl. Sci. – volume: 50 start-page: 15 year: 2009 end-page: 20 ident: CR10 article-title: A PRP type method for systems of monotone equations publication-title: Math. Comput. Model. – volume: 5 start-page: 241 issue: 2 year: 2011 end-page: 255 ident: CR60 article-title: Jacobian free-diagonal Newton’s method for nonlinear systems with singular Jacobian publication-title: Malays. J. Math. Sci. – year: 2020 ident: CR53 article-title: Modified Hager-Zhang conjugate gradient methods via singular value analysis for solving monotone nonlinear equations with convex constraint publication-title: Int. J. Comput. Methods. doi: 10.1142/S0219876220500437 – volume: 11 start-page: 431 year: 1963 end-page: 441 ident: CR44 article-title: An algorithm for least squares estimation of nonlinear parameters publication-title: SIAM J. Appl. Math. – volume: 13 start-page: 583 year: 2000 end-page: 599 ident: CR38 article-title: A derivative-free linesearch and global convergence of Broyden-like method for nonlinear equations publication-title: Optim. Methods Softw. – volume: 102 start-page: 147 issue: 1 year: 1999 end-page: 157 ident: CR77 article-title: New quasi-Newton equation and related methods for unconstrained optimization publication-title: J. Optim. Theory Appl. – volume: 9 start-page: 787 issue: 5 year: 1978 end-page: 792 ident: CR26 article-title: On a class of nonlinear integral equations arising in transport theory publication-title: SIAM J. Math. Anal. – volume: 28 start-page: 1 issue: 4 year: 2020 end-page: 21 ident: CR33 article-title: Self adaptive spectral conjugate gradient method for solving nonlinear monotone equations publication-title: J. Egypt. Math. Soc. – ident: CR59 – volume: 261 start-page: 1 year: 2015 end-page: 7 ident: CR81 article-title: A PRP-based residual method for large-scale monotone nonlinear equations publication-title: Appl. Math. Comput. – volume: 21 start-page: 212 year: 2011 end-page: 230 ident: CR46 article-title: A three-term conjugate gradient method with sufficient descent property for unconstrained optimization publication-title: SIAM J. Optim. – volume: 6 start-page: 149 year: 2010 end-page: 160 ident: CR69 article-title: A derivative-free method for solving large-scale nonlinear systems of equations publication-title: J. Ind. Manag. Optim. – volume: 31 start-page: 1 issue: 1 year: 2010 ident: CR18 article-title: Global convergence of a modified DY conjugate gradient method publication-title: J. Numer. Methods Comput. Appl. – volume: 10 start-page: 207 year: 2009 end-page: 218 ident: CR72 article-title: Subspace methods for large scale nonlinear equations and nonlinear least squares publication-title: Optim. Eng. – volume: 196 start-page: 478 year: 2006 end-page: 484 ident: CR76 article-title: Spectral gradient projection method for solving nonlinear monotone equations publication-title: J. Comput. Appl. Math. – volume: 34 start-page: 343 year: 2006 end-page: 358 ident: CR19 article-title: A truncated nonmonotone Gauss–Newton method for large-scale nonlinear least-squares problems publication-title: Comput. Optim. Appl. – volume: 2016 start-page: 325 year: 2016 ident: 1713_CR4 publication-title: J. Ineq. Appl. doi: 10.1186/s13660-016-1239-1 – year: 2020 ident: 1713_CR64 publication-title: Optimization doi: 10.1080/02331934.2020.1778689 – volume: 102 start-page: 147 issue: 1 year: 1999 ident: 1713_CR77 publication-title: J. Optim. Theory Appl. doi: 10.1023/A:1021898630001 – volume: 50 start-page: 15 year: 2009 ident: 1713_CR10 publication-title: Math. Comput. Model. doi: 10.1016/j.mcm.2009.04.007 – volume: 23 start-page: 707 year: 1986 ident: 1713_CR21 publication-title: SIAM J. Numer. Anal. doi: 10.1137/0723046 – volume: 28 start-page: 1 issue: 4 year: 2020 ident: 1713_CR33 publication-title: J. Egypt. Math. Soc. – volume: 7 start-page: 387 year: 2011 ident: 1713_CR70 publication-title: Pac. J. Optim. – volume: 361 start-page: 645 year: 2019 ident: 1713_CR61 publication-title: Appl. Math. Comput. – volume: 66 start-page: 33 year: 2007 ident: 1713_CR58 publication-title: Math. Methods Oper. Res. doi: 10.1007/s00186-006-0140-y – volume: 13 start-page: 583 year: 2000 ident: 1713_CR38 publication-title: Optim. Methods Softw. – volume: 9 start-page: 443 year: 2020 ident: 1713_CR62 publication-title: Arab. J. Math. doi: 10.1007/s40065-019-0264-6 – volume: 40 start-page: 295 year: 2014 ident: 1713_CR41 publication-title: ScienceAsia. doi: 10.2306/scienceasia1513-1874.2014.40.295 – volume: 234 start-page: 625 year: 2014 ident: 1713_CR6 publication-title: Eur. J. Oper. Res. doi: 10.1016/j.ejor.2013.11.012 – volume: 5 start-page: 241 issue: 2 year: 2011 ident: 1713_CR60 publication-title: Malays. J. Math. Sci. – volume: 11 start-page: 962 year: 2001 ident: 1713_CR79 publication-title: SIAM J. Optim. doi: 10.1137/S1052623499357957 – volume: 23 start-page: 296 year: 2013 ident: 1713_CR11 publication-title: SIAM J. Optim. doi: 10.1137/100813026 – ident: 1713_CR42 doi: 10.5402/2012/435495 – volume: 218 start-page: 9197 year: 2012 ident: 1713_CR43 publication-title: Appl. Math. Comput. – volume: 164 start-page: 277 issue: 1 year: 2015 ident: 1713_CR80 publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-014-0547-1 – start-page: 355 volume-title: Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods year: 1998 ident: 1713_CR56 doi: 10.1007/978-1-4757-6388-1_18 – year: 2018 ident: 1713_CR78 publication-title: Numer. Funct. Anal. Optim. doi: 10.1080/01630563.2018.1535506 – volume: 6 start-page: 149 year: 2010 ident: 1713_CR69 publication-title: J. Ind. Manag. Optim. doi: 10.3934/jimo.2010.6.149 – volume: 169 start-page: 587 issue: 2 year: 2016 ident: 1713_CR20 publication-title: J. Optim. Theory Appl. doi: 10.1007/s10957-015-0786-9 – volume: 2012 start-page: 569795 year: 2012 ident: 1713_CR28 publication-title: J. Appl. Math. doi: 10.1155/2012/569795 – volume: 261 start-page: 1 year: 2015 ident: 1713_CR81 publication-title: Appl. Math. Comput. – volume-title: Optimization Theory and Methods: Nonlinear Programming year: 2006 ident: 1713_CR57 – volume: 9 start-page: 787 issue: 5 year: 1978 ident: 1713_CR26 publication-title: SIAM J. Math. Anal. doi: 10.1137/0509060 – volume-title: Numerical Optimization year: 1999 ident: 1713_CR47 doi: 10.1007/b98874 – volume: 270 start-page: 378 year: 2015 ident: 1713_CR15 publication-title: Appl. Math. Comput. – volume: 31 start-page: 1 issue: 1 year: 2010 ident: 1713_CR18 publication-title: J. Numer. Methods Comput. Appl. – volume: 26 start-page: 1073 issue: 6 year: 1978 ident: 1713_CR50 publication-title: Oper. Res. Tech. Notes. doi: 10.1287/opre.26.6.1073 – ident: 1713_CR59 doi: 10.1155/2015/961487 – volume: 40 start-page: 239 year: 2021 ident: 1713_CR24 publication-title: Comput. Appl. Math. doi: 10.1007/s40314-021-01624-1 – volume: 234 start-page: 649 year: 2010 ident: 1713_CR68 publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2010.01.001 – ident: 1713_CR35 – volume: 29 start-page: 583 issue: 3 year: 2013 ident: 1713_CR5 publication-title: Optim. Methods Softw. doi: 10.1080/10556788.2013.833199 – volume: 9 start-page: 63 year: 2018 ident: 1713_CR54 publication-title: Croat. Oper. Res. Rev. doi: 10.17535/crorr.2018.0006 – volume: 21 start-page: 212 year: 2011 ident: 1713_CR46 publication-title: SIAM J. Optim. doi: 10.1137/080743573 – volume: 37 start-page: 152 issue: 1 year: 2000 ident: 1713_CR37 publication-title: SIAM J. Numer. Anal. – volume: 4 start-page: 94 year: 1969 ident: 1713_CR51 publication-title: USSR Comput. Math. Math. Phys. doi: 10.1016/0041-5553(69)90035-4 – volume: 405 start-page: 310 year: 2013 ident: 1713_CR67 publication-title: J. Math. Anal. Appl. doi: 10.1016/j.jmaa.2013.04.017 – volume: 241 start-page: 19 year: 2013 ident: 1713_CR3 publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2012.10.002 – volume: 202 start-page: 523 issue: 2 year: 2007 ident: 1713_CR39 publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2006.03.005 – volume: 43 start-page: 87 issue: 1 year: 2001 ident: 1713_CR12 publication-title: Appl. Math. Optim. doi: 10.1007/s002450010019 – volume: 76 start-page: 1109 year: 2017 ident: 1713_CR36 publication-title: Numer. Algorithms doi: 10.1007/s11075-017-0299-8 – volume: 2019 start-page: 5976595 year: 2019 ident: 1713_CR40 publication-title: Hindawi Mathematical Problems in Engineering doi: 10.1155/2019/5976595 – volume: 91 start-page: 201 issue: 2, Ser. A year: 2002 ident: 1713_CR17 publication-title: Math. Program. doi: 10.1007/s101070100263 – year: 2021 ident: 1713_CR23 publication-title: Math. Comput. Simul. doi: 10.1016/j.matcom.2021.03.020 – volume: 21 start-page: 707 issue: 5 year: 2006 ident: 1713_CR82 publication-title: Optim. Methods Softw. doi: 10.1080/10556780500137041 – volume: 286 start-page: 186 year: 2015 ident: 1713_CR73 publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2015.03.014 – volume: 34 start-page: 319 issue: 2 year: 2011 ident: 1713_CR2 publication-title: Bull. Malays. Math. Sci. Soc. – volume: 85 start-page: 763 year: 2020 ident: 1713_CR63 publication-title: Numer. Algorithms doi: 10.1007/s11075-019-00836-1 – volume: 13 start-page: 283 issue: 1 year: 2017 ident: 1713_CR27 publication-title: J. Ind. Manag. Optim. doi: 10.3934/jimo.2016017 – volume: 82 start-page: 377 year: 1998 ident: 1713_CR9 publication-title: Math. Program. – volume-title: Nonlinear Conjugate Gradient Methods year: 2000 ident: 1713_CR14 – volume: 64 start-page: 2277 year: 2015 ident: 1713_CR8 publication-title: Optimization doi: 10.1080/02331934.2014.938072 – volume: 15 start-page: 117 issue: 1 year: 2019 ident: 1713_CR16 publication-title: Malay. J. Fund. Appl. Sci. doi: 10.11113/mjfas.v15n2019.1085 – volume: 196 start-page: 478 year: 2006 ident: 1713_CR76 publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2005.10.002 – volume: 7 start-page: 289 issue: 4 year: 2018 ident: 1713_CR45 publication-title: Arab. J. Math. doi: 10.1007/s40065-018-0206-8 – volume: 96 start-page: 1533 issue: 8 year: 2019 ident: 1713_CR74 publication-title: Int. J. Comput Math. doi: 10.1080/00207160.2018.1494825 – volume: 10 start-page: 177 issue: 1 year: 1999 ident: 1713_CR13 publication-title: Soc. Ind. Appl. Math. – volume-title: Iterative Solution of Nonlinear Equations in Several Variables year: 1970 ident: 1713_CR48 – volume: 67 start-page: 1631 year: 2018 ident: 1713_CR49 publication-title: Optimization doi: 10.1080/02331934.2018.1482490 – year: 2020 ident: 1713_CR53 publication-title: Int. J. Comput. Methods. doi: 10.1142/S0219876220500437 – volume: 78 start-page: 15 year: 2021 ident: 1713_CR65 publication-title: SeMA J. doi: 10.1007/s40324-020-00228-9 – volume: 10 start-page: 207 year: 2009 ident: 1713_CR72 publication-title: Optim. Eng. doi: 10.1007/s11081-008-9064-0 – volume: 45 start-page: 755 issue: 3 year: 2018 ident: 1713_CR34 publication-title: Bull. Iran. Math. Soc. doi: 10.1007/s41980-018-0163-1 – volume: 11 start-page: 431 year: 1963 ident: 1713_CR44 publication-title: SIAM J. Appl. Math. doi: 10.1137/0111030 – volume: 70 start-page: 559 issue: 3 year: 2015 ident: 1713_CR30 publication-title: Numer. Algorithms doi: 10.1007/s11075-015-9961-1 – year: 2017 ident: 1713_CR32 publication-title: Optim. Methods Softw. doi: 10.1080/10556788.2017.1338288 – volume: 58 start-page: 283 year: 2003 ident: 1713_CR75 publication-title: Math. Methods Oper. Res. doi: 10.1007/s001860300302 – volume: 34 start-page: 343 year: 2006 ident: 1713_CR19 publication-title: Comput. Optim. Appl. doi: 10.1007/s10589-006-6444-2 – volume: 172 start-page: 375 year: 2004 ident: 1713_CR29 publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2004.02.013 – volume: 2 start-page: 35 issue: 1 year: 2006 ident: 1713_CR22 publication-title: Pac. J. Optim. – volume: 16 start-page: 35 year: 1969 ident: 1713_CR52 publication-title: Rev. Fr. Inform. Rech. Oper. – volume: 41 start-page: 257 issue: 3 year: 1997 ident: 1713_CR55 publication-title: Optimization doi: 10.1080/02331939708844339 – volume: 53 start-page: 620 issue: 3 year: 2012 ident: 1713_CR1 publication-title: Iraqi J. Sci. – volume-title: Numerical Analysis year: 1991 ident: 1713_CR31 – volume: 49 start-page: 409 year: 1952 ident: 1713_CR25 publication-title: J. Res. Nat. Bur. Stand. doi: 10.6028/jres.049.044 – volume: 2018 start-page: 4813030 year: 2018 ident: 1713_CR66 publication-title: Hindawi Math. Probl. Eng. doi: 10.1155/2018/4813030 – volume: 68 start-page: 2005 year: 2014 ident: 1713_CR7 publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2014.09.019 – volume: 9 start-page: 117 year: 2013 ident: 1713_CR71 publication-title: J. Ind. Manag. Optim. doi: 10.3934/jimo.2013.9.117 |
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| SubjectTerms | Algorithms Approximation Computational Mathematics and Numerical Analysis Conjugate gradient method Eigenvalues Hyperplanes Iterative methods Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Methods Nonlinear equations Nonlinear systems Optimization Searching Theoretical |
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| Title | Two Descent Dai-Yuan Conjugate Gradient Methods for Systems of Monotone Nonlinear Equations |
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