A method with inertial extrapolation step for convex constrained monotone equations

Abstract In recent times, various algorithms have been incorporated with the inertial extrapolation step to speed up the convergence of the sequence generated by these algorithms. As far as we know, very few results exist regarding algorithms of the inertial derivative-free projection method for sol...
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Autor*in:	Ibrahim, Abdulkarim Hassan [verfasserIn] Kumam, Poom [verfasserIn] Abubakar, Auwal Bala [verfasserIn] Abubakar, Jamilu [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	Iterative method Inertial algorithm Nonlinear equations Derivative-free method Projection method

Anmerkung:	© The Author(s) 2021

Übergeordnetes Werk:	Enthalten in: Journal of inequalities and applications - Heidelberg : Springer, 2005, 2021(2021), 1 vom: 06. Dez.
Übergeordnetes Werk:	volume:2021 ; year:2021 ; number:1 ; day:06 ; month:12

Links:	Volltext

DOI / URN:	10.1186/s13660-021-02719-3

Katalog-ID:	SPR045751862

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520			\|a Abstract In recent times, various algorithms have been incorporated with the inertial extrapolation step to speed up the convergence of the sequence generated by these algorithms. As far as we know, very few results exist regarding algorithms of the inertial derivative-free projection method for solving convex constrained monotone nonlinear equations. In this article, the convergence analysis of a derivative-free iterative algorithm (Liu and Feng in Numer. Algorithms 82(1):245–262, 2019) with an inertial extrapolation step for solving large scale convex constrained monotone nonlinear equations is studied. The proposed method generates a sufficient descent direction at each iteration. Under some mild assumptions, the global convergence of the sequence generated by the proposed method is established. Furthermore, some experimental results are presented to support the theoretical analysis of the proposed method.
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spelling	10.1186/s13660-021-02719-3 doi (DE-627)SPR045751862 (SPR)s13660-021-02719-3-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Ibrahim, Abdulkarim Hassan verfasserin aut A method with inertial extrapolation step for convex constrained monotone equations 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract In recent times, various algorithms have been incorporated with the inertial extrapolation step to speed up the convergence of the sequence generated by these algorithms. As far as we know, very few results exist regarding algorithms of the inertial derivative-free projection method for solving convex constrained monotone nonlinear equations. In this article, the convergence analysis of a derivative-free iterative algorithm (Liu and Feng in Numer. Algorithms 82(1):245–262, 2019) with an inertial extrapolation step for solving large scale convex constrained monotone nonlinear equations is studied. The proposed method generates a sufficient descent direction at each iteration. Under some mild assumptions, the global convergence of the sequence generated by the proposed method is established. Furthermore, some experimental results are presented to support the theoretical analysis of the proposed method. Iterative method (dpeaa)DE-He213 Inertial algorithm (dpeaa)DE-He213 Nonlinear equations (dpeaa)DE-He213 Derivative-free method (dpeaa)DE-He213 Projection method (dpeaa)DE-He213 Kumam, Poom verfasserin aut Abubakar, Auwal Bala verfasserin aut Abubakar, Jamilu verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2021(2021), 1 vom: 06. Dez. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2021 year:2021 number:1 day:06 month:12 https://dx.doi.org/10.1186/s13660-021-02719-3 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2021 2021 1 06 12
allfields_unstemmed	10.1186/s13660-021-02719-3 doi (DE-627)SPR045751862 (SPR)s13660-021-02719-3-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Ibrahim, Abdulkarim Hassan verfasserin aut A method with inertial extrapolation step for convex constrained monotone equations 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract In recent times, various algorithms have been incorporated with the inertial extrapolation step to speed up the convergence of the sequence generated by these algorithms. As far as we know, very few results exist regarding algorithms of the inertial derivative-free projection method for solving convex constrained monotone nonlinear equations. In this article, the convergence analysis of a derivative-free iterative algorithm (Liu and Feng in Numer. Algorithms 82(1):245–262, 2019) with an inertial extrapolation step for solving large scale convex constrained monotone nonlinear equations is studied. The proposed method generates a sufficient descent direction at each iteration. Under some mild assumptions, the global convergence of the sequence generated by the proposed method is established. Furthermore, some experimental results are presented to support the theoretical analysis of the proposed method. Iterative method (dpeaa)DE-He213 Inertial algorithm (dpeaa)DE-He213 Nonlinear equations (dpeaa)DE-He213 Derivative-free method (dpeaa)DE-He213 Projection method (dpeaa)DE-He213 Kumam, Poom verfasserin aut Abubakar, Auwal Bala verfasserin aut Abubakar, Jamilu verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2021(2021), 1 vom: 06. Dez. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2021 year:2021 number:1 day:06 month:12 https://dx.doi.org/10.1186/s13660-021-02719-3 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2021 2021 1 06 12
allfieldsGer	10.1186/s13660-021-02719-3 doi (DE-627)SPR045751862 (SPR)s13660-021-02719-3-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Ibrahim, Abdulkarim Hassan verfasserin aut A method with inertial extrapolation step for convex constrained monotone equations 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract In recent times, various algorithms have been incorporated with the inertial extrapolation step to speed up the convergence of the sequence generated by these algorithms. As far as we know, very few results exist regarding algorithms of the inertial derivative-free projection method for solving convex constrained monotone nonlinear equations. In this article, the convergence analysis of a derivative-free iterative algorithm (Liu and Feng in Numer. Algorithms 82(1):245–262, 2019) with an inertial extrapolation step for solving large scale convex constrained monotone nonlinear equations is studied. The proposed method generates a sufficient descent direction at each iteration. Under some mild assumptions, the global convergence of the sequence generated by the proposed method is established. Furthermore, some experimental results are presented to support the theoretical analysis of the proposed method. Iterative method (dpeaa)DE-He213 Inertial algorithm (dpeaa)DE-He213 Nonlinear equations (dpeaa)DE-He213 Derivative-free method (dpeaa)DE-He213 Projection method (dpeaa)DE-He213 Kumam, Poom verfasserin aut Abubakar, Auwal Bala verfasserin aut Abubakar, Jamilu verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2021(2021), 1 vom: 06. Dez. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2021 year:2021 number:1 day:06 month:12 https://dx.doi.org/10.1186/s13660-021-02719-3 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2021 2021 1 06 12
allfieldsSound	10.1186/s13660-021-02719-3 doi (DE-627)SPR045751862 (SPR)s13660-021-02719-3-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Ibrahim, Abdulkarim Hassan verfasserin aut A method with inertial extrapolation step for convex constrained monotone equations 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2021 Abstract In recent times, various algorithms have been incorporated with the inertial extrapolation step to speed up the convergence of the sequence generated by these algorithms. As far as we know, very few results exist regarding algorithms of the inertial derivative-free projection method for solving convex constrained monotone nonlinear equations. In this article, the convergence analysis of a derivative-free iterative algorithm (Liu and Feng in Numer. Algorithms 82(1):245–262, 2019) with an inertial extrapolation step for solving large scale convex constrained monotone nonlinear equations is studied. The proposed method generates a sufficient descent direction at each iteration. Under some mild assumptions, the global convergence of the sequence generated by the proposed method is established. Furthermore, some experimental results are presented to support the theoretical analysis of the proposed method. Iterative method (dpeaa)DE-He213 Inertial algorithm (dpeaa)DE-He213 Nonlinear equations (dpeaa)DE-He213 Derivative-free method (dpeaa)DE-He213 Projection method (dpeaa)DE-He213 Kumam, Poom verfasserin aut Abubakar, Auwal Bala verfasserin aut Abubakar, Jamilu verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2021(2021), 1 vom: 06. Dez. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2021 year:2021 number:1 day:06 month:12 https://dx.doi.org/10.1186/s13660-021-02719-3 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2021 2021 1 06 12
language	English
source	Enthalten in Journal of inequalities and applications 2021(2021), 1 vom: 06. Dez. volume:2021 year:2021 number:1 day:06 month:12
sourceStr	Enthalten in Journal of inequalities and applications 2021(2021), 1 vom: 06. Dez. volume:2021 year:2021 number:1 day:06 month:12
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Iterative method Inertial algorithm Nonlinear equations Derivative-free method Projection method
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isfreeaccess_bool	true
container_title	Journal of inequalities and applications
authorswithroles_txt_mv	Ibrahim, Abdulkarim Hassan @@aut@@ Kumam, Poom @@aut@@ Abubakar, Auwal Bala @@aut@@ Abubakar, Jamilu @@aut@@
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author	Ibrahim, Abdulkarim Hassan
spellingShingle	Ibrahim, Abdulkarim Hassan ddc 510 bkl 31.49 misc Iterative method misc Inertial algorithm misc Nonlinear equations misc Derivative-free method misc Projection method A method with inertial extrapolation step for convex constrained monotone equations
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topic_title	510 ASE 31.49 bkl A method with inertial extrapolation step for convex constrained monotone equations Iterative method (dpeaa)DE-He213 Inertial algorithm (dpeaa)DE-He213 Nonlinear equations (dpeaa)DE-He213 Derivative-free method (dpeaa)DE-He213 Projection method (dpeaa)DE-He213
topic	ddc 510 bkl 31.49 misc Iterative method misc Inertial algorithm misc Nonlinear equations misc Derivative-free method misc Projection method
topic_unstemmed	ddc 510 bkl 31.49 misc Iterative method misc Inertial algorithm misc Nonlinear equations misc Derivative-free method misc Projection method
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title	A method with inertial extrapolation step for convex constrained monotone equations
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title_full	A method with inertial extrapolation step for convex constrained monotone equations
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title_sort	method with inertial extrapolation step for convex constrained monotone equations
title_auth	A method with inertial extrapolation step for convex constrained monotone equations
abstract	Abstract In recent times, various algorithms have been incorporated with the inertial extrapolation step to speed up the convergence of the sequence generated by these algorithms. As far as we know, very few results exist regarding algorithms of the inertial derivative-free projection method for solving convex constrained monotone nonlinear equations. In this article, the convergence analysis of a derivative-free iterative algorithm (Liu and Feng in Numer. Algorithms 82(1):245–262, 2019) with an inertial extrapolation step for solving large scale convex constrained monotone nonlinear equations is studied. The proposed method generates a sufficient descent direction at each iteration. Under some mild assumptions, the global convergence of the sequence generated by the proposed method is established. Furthermore, some experimental results are presented to support the theoretical analysis of the proposed method. © The Author(s) 2021
abstractGer	Abstract In recent times, various algorithms have been incorporated with the inertial extrapolation step to speed up the convergence of the sequence generated by these algorithms. As far as we know, very few results exist regarding algorithms of the inertial derivative-free projection method for solving convex constrained monotone nonlinear equations. In this article, the convergence analysis of a derivative-free iterative algorithm (Liu and Feng in Numer. Algorithms 82(1):245–262, 2019) with an inertial extrapolation step for solving large scale convex constrained monotone nonlinear equations is studied. The proposed method generates a sufficient descent direction at each iteration. Under some mild assumptions, the global convergence of the sequence generated by the proposed method is established. Furthermore, some experimental results are presented to support the theoretical analysis of the proposed method. © The Author(s) 2021
abstract_unstemmed	Abstract In recent times, various algorithms have been incorporated with the inertial extrapolation step to speed up the convergence of the sequence generated by these algorithms. As far as we know, very few results exist regarding algorithms of the inertial derivative-free projection method for solving convex constrained monotone nonlinear equations. In this article, the convergence analysis of a derivative-free iterative algorithm (Liu and Feng in Numer. Algorithms 82(1):245–262, 2019) with an inertial extrapolation step for solving large scale convex constrained monotone nonlinear equations is studied. The proposed method generates a sufficient descent direction at each iteration. Under some mild assumptions, the global convergence of the sequence generated by the proposed method is established. Furthermore, some experimental results are presented to support the theoretical analysis of the proposed method. © The Author(s) 2021
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title_short	A method with inertial extrapolation step for convex constrained monotone equations
url	https://dx.doi.org/10.1186/s13660-021-02719-3
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author2	Kumam, Poom Abubakar, Auwal Bala Abubakar, Jamilu
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A method with inertial extrapolation step for convex constrained monotone equations

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