A Newton-type technique for solving absolute value equations

The Newton-type technique is proposed for solving absolute value equations. This new method is a two-step technique with the generalized Newton technique as a predictor and corrector step is the Simpson’s method. Convergence results are established under mild assumptions. The Newton-type technique i...
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Autor*in:	Alamgir Khan [verfasserIn] Javed Iqbal [verfasserIn] Ali Akgül [verfasserIn] Rashid Ali [verfasserIn] Yuting Du [verfasserIn] Arafat Hussain [verfasserIn] Kottakkaran Sooppy Nisar [verfasserIn] V. Vijayakumar [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Iterative technique Absolute value equation Convergence Numerical examples

Übergeordnetes Werk:	In: Alexandria Engineering Journal - Elsevier, 2016, 64(2023), Seite 291-296
Übergeordnetes Werk:	volume:64 ; year:2023 ; pages:291-296

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1016/j.aej.2022.08.052

Katalog-ID:	DOAJ082729034

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520			\|a The Newton-type technique is proposed for solving absolute value equations. This new method is a two-step technique with the generalized Newton technique as a predictor and corrector step is the Simpson’s method. Convergence results are established under mild assumptions. The Newton-type technique is very simple and easy to implement. The proposed method is very effective to solve large systems. The heat equation is solved by using the proposed technique. Numerical outcomes show the efficiency of our technique. We add the concluding remarks at the end of this paper.
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allfields	10.1016/j.aej.2022.08.052 doi (DE-627)DOAJ082729034 (DE-599)DOAJ41896cd89ae34c5ab4c0e1fdb00f8bba DE-627 ger DE-627 rakwb eng TA1-2040 Alamgir Khan verfasserin aut A Newton-type technique for solving absolute value equations 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The Newton-type technique is proposed for solving absolute value equations. This new method is a two-step technique with the generalized Newton technique as a predictor and corrector step is the Simpson’s method. Convergence results are established under mild assumptions. The Newton-type technique is very simple and easy to implement. The proposed method is very effective to solve large systems. The heat equation is solved by using the proposed technique. Numerical outcomes show the efficiency of our technique. We add the concluding remarks at the end of this paper. Iterative technique Absolute value equation Convergence Numerical examples Engineering (General). Civil engineering (General) Javed Iqbal verfasserin aut Ali Akgül verfasserin aut Rashid Ali verfasserin aut Yuting Du verfasserin aut Arafat Hussain verfasserin aut Kottakkaran Sooppy Nisar verfasserin aut V. Vijayakumar verfasserin aut In Alexandria Engineering Journal Elsevier, 2016 64(2023), Seite 291-296 (DE-627)669887609 (DE-600)2631413-7 20902670 nnns volume:64 year:2023 pages:291-296 https://doi.org/10.1016/j.aej.2022.08.052 kostenfrei https://doaj.org/article/41896cd89ae34c5ab4c0e1fdb00f8bba kostenfrei http://www.sciencedirect.com/science/article/pii/S1110016822005853 kostenfrei https://doaj.org/toc/1110-0168 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 64 2023 291-296
spelling	10.1016/j.aej.2022.08.052 doi (DE-627)DOAJ082729034 (DE-599)DOAJ41896cd89ae34c5ab4c0e1fdb00f8bba DE-627 ger DE-627 rakwb eng TA1-2040 Alamgir Khan verfasserin aut A Newton-type technique for solving absolute value equations 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The Newton-type technique is proposed for solving absolute value equations. This new method is a two-step technique with the generalized Newton technique as a predictor and corrector step is the Simpson’s method. Convergence results are established under mild assumptions. The Newton-type technique is very simple and easy to implement. The proposed method is very effective to solve large systems. The heat equation is solved by using the proposed technique. Numerical outcomes show the efficiency of our technique. We add the concluding remarks at the end of this paper. Iterative technique Absolute value equation Convergence Numerical examples Engineering (General). Civil engineering (General) Javed Iqbal verfasserin aut Ali Akgül verfasserin aut Rashid Ali verfasserin aut Yuting Du verfasserin aut Arafat Hussain verfasserin aut Kottakkaran Sooppy Nisar verfasserin aut V. Vijayakumar verfasserin aut In Alexandria Engineering Journal Elsevier, 2016 64(2023), Seite 291-296 (DE-627)669887609 (DE-600)2631413-7 20902670 nnns volume:64 year:2023 pages:291-296 https://doi.org/10.1016/j.aej.2022.08.052 kostenfrei https://doaj.org/article/41896cd89ae34c5ab4c0e1fdb00f8bba kostenfrei http://www.sciencedirect.com/science/article/pii/S1110016822005853 kostenfrei https://doaj.org/toc/1110-0168 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 64 2023 291-296
allfields_unstemmed	10.1016/j.aej.2022.08.052 doi (DE-627)DOAJ082729034 (DE-599)DOAJ41896cd89ae34c5ab4c0e1fdb00f8bba DE-627 ger DE-627 rakwb eng TA1-2040 Alamgir Khan verfasserin aut A Newton-type technique for solving absolute value equations 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The Newton-type technique is proposed for solving absolute value equations. This new method is a two-step technique with the generalized Newton technique as a predictor and corrector step is the Simpson’s method. Convergence results are established under mild assumptions. The Newton-type technique is very simple and easy to implement. The proposed method is very effective to solve large systems. The heat equation is solved by using the proposed technique. Numerical outcomes show the efficiency of our technique. We add the concluding remarks at the end of this paper. Iterative technique Absolute value equation Convergence Numerical examples Engineering (General). Civil engineering (General) Javed Iqbal verfasserin aut Ali Akgül verfasserin aut Rashid Ali verfasserin aut Yuting Du verfasserin aut Arafat Hussain verfasserin aut Kottakkaran Sooppy Nisar verfasserin aut V. Vijayakumar verfasserin aut In Alexandria Engineering Journal Elsevier, 2016 64(2023), Seite 291-296 (DE-627)669887609 (DE-600)2631413-7 20902670 nnns volume:64 year:2023 pages:291-296 https://doi.org/10.1016/j.aej.2022.08.052 kostenfrei https://doaj.org/article/41896cd89ae34c5ab4c0e1fdb00f8bba kostenfrei http://www.sciencedirect.com/science/article/pii/S1110016822005853 kostenfrei https://doaj.org/toc/1110-0168 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 64 2023 291-296
allfieldsGer	10.1016/j.aej.2022.08.052 doi (DE-627)DOAJ082729034 (DE-599)DOAJ41896cd89ae34c5ab4c0e1fdb00f8bba DE-627 ger DE-627 rakwb eng TA1-2040 Alamgir Khan verfasserin aut A Newton-type technique for solving absolute value equations 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The Newton-type technique is proposed for solving absolute value equations. This new method is a two-step technique with the generalized Newton technique as a predictor and corrector step is the Simpson’s method. Convergence results are established under mild assumptions. The Newton-type technique is very simple and easy to implement. The proposed method is very effective to solve large systems. The heat equation is solved by using the proposed technique. Numerical outcomes show the efficiency of our technique. We add the concluding remarks at the end of this paper. Iterative technique Absolute value equation Convergence Numerical examples Engineering (General). Civil engineering (General) Javed Iqbal verfasserin aut Ali Akgül verfasserin aut Rashid Ali verfasserin aut Yuting Du verfasserin aut Arafat Hussain verfasserin aut Kottakkaran Sooppy Nisar verfasserin aut V. Vijayakumar verfasserin aut In Alexandria Engineering Journal Elsevier, 2016 64(2023), Seite 291-296 (DE-627)669887609 (DE-600)2631413-7 20902670 nnns volume:64 year:2023 pages:291-296 https://doi.org/10.1016/j.aej.2022.08.052 kostenfrei https://doaj.org/article/41896cd89ae34c5ab4c0e1fdb00f8bba kostenfrei http://www.sciencedirect.com/science/article/pii/S1110016822005853 kostenfrei https://doaj.org/toc/1110-0168 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 64 2023 291-296
allfieldsSound	10.1016/j.aej.2022.08.052 doi (DE-627)DOAJ082729034 (DE-599)DOAJ41896cd89ae34c5ab4c0e1fdb00f8bba DE-627 ger DE-627 rakwb eng TA1-2040 Alamgir Khan verfasserin aut A Newton-type technique for solving absolute value equations 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The Newton-type technique is proposed for solving absolute value equations. This new method is a two-step technique with the generalized Newton technique as a predictor and corrector step is the Simpson’s method. Convergence results are established under mild assumptions. The Newton-type technique is very simple and easy to implement. The proposed method is very effective to solve large systems. The heat equation is solved by using the proposed technique. Numerical outcomes show the efficiency of our technique. We add the concluding remarks at the end of this paper. Iterative technique Absolute value equation Convergence Numerical examples Engineering (General). Civil engineering (General) Javed Iqbal verfasserin aut Ali Akgül verfasserin aut Rashid Ali verfasserin aut Yuting Du verfasserin aut Arafat Hussain verfasserin aut Kottakkaran Sooppy Nisar verfasserin aut V. Vijayakumar verfasserin aut In Alexandria Engineering Journal Elsevier, 2016 64(2023), Seite 291-296 (DE-627)669887609 (DE-600)2631413-7 20902670 nnns volume:64 year:2023 pages:291-296 https://doi.org/10.1016/j.aej.2022.08.052 kostenfrei https://doaj.org/article/41896cd89ae34c5ab4c0e1fdb00f8bba kostenfrei http://www.sciencedirect.com/science/article/pii/S1110016822005853 kostenfrei https://doaj.org/toc/1110-0168 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 64 2023 291-296
language	English
source	In Alexandria Engineering Journal 64(2023), Seite 291-296 volume:64 year:2023 pages:291-296
sourceStr	In Alexandria Engineering Journal 64(2023), Seite 291-296 volume:64 year:2023 pages:291-296
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Iterative technique Absolute value equation Convergence Numerical examples Engineering (General). Civil engineering (General)
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container_title	Alexandria Engineering Journal
authorswithroles_txt_mv	Alamgir Khan @@aut@@ Javed Iqbal @@aut@@ Ali Akgül @@aut@@ Rashid Ali @@aut@@ Yuting Du @@aut@@ Arafat Hussain @@aut@@ Kottakkaran Sooppy Nisar @@aut@@ V. Vijayakumar @@aut@@
publishDateDaySort_date	2023-01-01T00:00:00Z
hierarchy_top_id	669887609
id	DOAJ082729034
language_de	englisch
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callnumber-first	T - Technology
author	Alamgir Khan
spellingShingle	Alamgir Khan misc TA1-2040 misc Iterative technique misc Absolute value equation misc Convergence misc Numerical examples misc Engineering (General). Civil engineering (General) A Newton-type technique for solving absolute value equations
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topic_title	TA1-2040 A Newton-type technique for solving absolute value equations Iterative technique Absolute value equation Convergence Numerical examples
topic	misc TA1-2040 misc Iterative technique misc Absolute value equation misc Convergence misc Numerical examples misc Engineering (General). Civil engineering (General)
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title	A Newton-type technique for solving absolute value equations
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title_full	A Newton-type technique for solving absolute value equations
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title_sort	newton-type technique for solving absolute value equations
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title_auth	A Newton-type technique for solving absolute value equations
abstract	The Newton-type technique is proposed for solving absolute value equations. This new method is a two-step technique with the generalized Newton technique as a predictor and corrector step is the Simpson’s method. Convergence results are established under mild assumptions. The Newton-type technique is very simple and easy to implement. The proposed method is very effective to solve large systems. The heat equation is solved by using the proposed technique. Numerical outcomes show the efficiency of our technique. We add the concluding remarks at the end of this paper.
abstractGer	The Newton-type technique is proposed for solving absolute value equations. This new method is a two-step technique with the generalized Newton technique as a predictor and corrector step is the Simpson’s method. Convergence results are established under mild assumptions. The Newton-type technique is very simple and easy to implement. The proposed method is very effective to solve large systems. The heat equation is solved by using the proposed technique. Numerical outcomes show the efficiency of our technique. We add the concluding remarks at the end of this paper.
abstract_unstemmed	The Newton-type technique is proposed for solving absolute value equations. This new method is a two-step technique with the generalized Newton technique as a predictor and corrector step is the Simpson’s method. Convergence results are established under mild assumptions. The Newton-type technique is very simple and easy to implement. The proposed method is very effective to solve large systems. The heat equation is solved by using the proposed technique. Numerical outcomes show the efficiency of our technique. We add the concluding remarks at the end of this paper.
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title_short	A Newton-type technique for solving absolute value equations
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A Newton-type technique for solving absolute value equations

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