A class of wide neighborhood interior-point algorithms based on the algebraic equivalent transformation technique with specific functions

Abstract In this paper, we generalize the identity function and the square root function used in the algebraic equivalent transformation (AET) technique to a class of AET functions with an arbitrary positive integer parameter p. Based on this class of AET functions, we propose a class of wide neighb...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Wang, Jianbin [verfasserIn] Yuan, Jianhua Ai, Wenbao

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Linear programming Interior-point method Second-order method Wide neighborhood

Anmerkung:	© Akadémiai Kiadó, Budapest, Hungary 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Übergeordnetes Werk:	Enthalten in: Periodica mathematica Hungarica - Dordrecht [u.a.] : Springer Science + Business Media B.V., 1971, 88(2023), 1 vom: 15. Sept., Seite 172-189
Übergeordnetes Werk:	volume:88 ; year:2023 ; number:1 ; day:15 ; month:09 ; pages:172-189

Links:	Volltext

DOI / URN:	10.1007/s10998-023-00546-1

Katalog-ID:	SPR054820782

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520			\|a Abstract In this paper, we generalize the identity function and the square root function used in the algebraic equivalent transformation (AET) technique to a class of AET functions with an arbitrary positive integer parameter p. Based on this class of AET functions, we propose a class of wide neighborhood primal–dual interior-point algorithms for linear programming. For each function in this class of AET functions, we define its search direction and its wide neighborhood under a unified framework. The search directions of the proposed algorithms are constructed based on Ai–Zhang type direction and the corresponding second-order corrector direction. Moreover, we provided a unified analysis of the best iteration complexity of the proposed algorithms. Numerical results show the reliability of the proposed algorithms.
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912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
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allfields	10.1007/s10998-023-00546-1 doi (DE-627)SPR054820782 (SPR)s10998-023-00546-1-e DE-627 ger DE-627 rakwb eng Wang, Jianbin verfasserin aut A class of wide neighborhood interior-point algorithms based on the algebraic equivalent transformation technique with specific functions 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Akadémiai Kiadó, Budapest, Hungary 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we generalize the identity function and the square root function used in the algebraic equivalent transformation (AET) technique to a class of AET functions with an arbitrary positive integer parameter p. Based on this class of AET functions, we propose a class of wide neighborhood primal–dual interior-point algorithms for linear programming. For each function in this class of AET functions, we define its search direction and its wide neighborhood under a unified framework. The search directions of the proposed algorithms are constructed based on Ai–Zhang type direction and the corresponding second-order corrector direction. Moreover, we provided a unified analysis of the best iteration complexity of the proposed algorithms. Numerical results show the reliability of the proposed algorithms. Linear programming (dpeaa)DE-He213 Interior-point method (dpeaa)DE-He213 Second-order method (dpeaa)DE-He213 Wide neighborhood (dpeaa)DE-He213 Yuan, Jianhua aut Ai, Wenbao aut Enthalten in Periodica mathematica Hungarica Dordrecht [u.a.] : Springer Science + Business Media B.V., 1971 88(2023), 1 vom: 15. Sept., Seite 172-189 (DE-627)270131264 (DE-600)1476886-0 1588-2829 nnns volume:88 year:2023 number:1 day:15 month:09 pages:172-189 https://dx.doi.org/10.1007/s10998-023-00546-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 88 2023 1 15 09 172-189
spelling	10.1007/s10998-023-00546-1 doi (DE-627)SPR054820782 (SPR)s10998-023-00546-1-e DE-627 ger DE-627 rakwb eng Wang, Jianbin verfasserin aut A class of wide neighborhood interior-point algorithms based on the algebraic equivalent transformation technique with specific functions 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Akadémiai Kiadó, Budapest, Hungary 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we generalize the identity function and the square root function used in the algebraic equivalent transformation (AET) technique to a class of AET functions with an arbitrary positive integer parameter p. Based on this class of AET functions, we propose a class of wide neighborhood primal–dual interior-point algorithms for linear programming. For each function in this class of AET functions, we define its search direction and its wide neighborhood under a unified framework. The search directions of the proposed algorithms are constructed based on Ai–Zhang type direction and the corresponding second-order corrector direction. Moreover, we provided a unified analysis of the best iteration complexity of the proposed algorithms. Numerical results show the reliability of the proposed algorithms. Linear programming (dpeaa)DE-He213 Interior-point method (dpeaa)DE-He213 Second-order method (dpeaa)DE-He213 Wide neighborhood (dpeaa)DE-He213 Yuan, Jianhua aut Ai, Wenbao aut Enthalten in Periodica mathematica Hungarica Dordrecht [u.a.] : Springer Science + Business Media B.V., 1971 88(2023), 1 vom: 15. Sept., Seite 172-189 (DE-627)270131264 (DE-600)1476886-0 1588-2829 nnns volume:88 year:2023 number:1 day:15 month:09 pages:172-189 https://dx.doi.org/10.1007/s10998-023-00546-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 88 2023 1 15 09 172-189
allfields_unstemmed	10.1007/s10998-023-00546-1 doi (DE-627)SPR054820782 (SPR)s10998-023-00546-1-e DE-627 ger DE-627 rakwb eng Wang, Jianbin verfasserin aut A class of wide neighborhood interior-point algorithms based on the algebraic equivalent transformation technique with specific functions 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Akadémiai Kiadó, Budapest, Hungary 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we generalize the identity function and the square root function used in the algebraic equivalent transformation (AET) technique to a class of AET functions with an arbitrary positive integer parameter p. Based on this class of AET functions, we propose a class of wide neighborhood primal–dual interior-point algorithms for linear programming. For each function in this class of AET functions, we define its search direction and its wide neighborhood under a unified framework. The search directions of the proposed algorithms are constructed based on Ai–Zhang type direction and the corresponding second-order corrector direction. Moreover, we provided a unified analysis of the best iteration complexity of the proposed algorithms. Numerical results show the reliability of the proposed algorithms. Linear programming (dpeaa)DE-He213 Interior-point method (dpeaa)DE-He213 Second-order method (dpeaa)DE-He213 Wide neighborhood (dpeaa)DE-He213 Yuan, Jianhua aut Ai, Wenbao aut Enthalten in Periodica mathematica Hungarica Dordrecht [u.a.] : Springer Science + Business Media B.V., 1971 88(2023), 1 vom: 15. Sept., Seite 172-189 (DE-627)270131264 (DE-600)1476886-0 1588-2829 nnns volume:88 year:2023 number:1 day:15 month:09 pages:172-189 https://dx.doi.org/10.1007/s10998-023-00546-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 88 2023 1 15 09 172-189
allfieldsGer	10.1007/s10998-023-00546-1 doi (DE-627)SPR054820782 (SPR)s10998-023-00546-1-e DE-627 ger DE-627 rakwb eng Wang, Jianbin verfasserin aut A class of wide neighborhood interior-point algorithms based on the algebraic equivalent transformation technique with specific functions 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Akadémiai Kiadó, Budapest, Hungary 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we generalize the identity function and the square root function used in the algebraic equivalent transformation (AET) technique to a class of AET functions with an arbitrary positive integer parameter p. Based on this class of AET functions, we propose a class of wide neighborhood primal–dual interior-point algorithms for linear programming. For each function in this class of AET functions, we define its search direction and its wide neighborhood under a unified framework. The search directions of the proposed algorithms are constructed based on Ai–Zhang type direction and the corresponding second-order corrector direction. Moreover, we provided a unified analysis of the best iteration complexity of the proposed algorithms. Numerical results show the reliability of the proposed algorithms. Linear programming (dpeaa)DE-He213 Interior-point method (dpeaa)DE-He213 Second-order method (dpeaa)DE-He213 Wide neighborhood (dpeaa)DE-He213 Yuan, Jianhua aut Ai, Wenbao aut Enthalten in Periodica mathematica Hungarica Dordrecht [u.a.] : Springer Science + Business Media B.V., 1971 88(2023), 1 vom: 15. Sept., Seite 172-189 (DE-627)270131264 (DE-600)1476886-0 1588-2829 nnns volume:88 year:2023 number:1 day:15 month:09 pages:172-189 https://dx.doi.org/10.1007/s10998-023-00546-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 88 2023 1 15 09 172-189
allfieldsSound	10.1007/s10998-023-00546-1 doi (DE-627)SPR054820782 (SPR)s10998-023-00546-1-e DE-627 ger DE-627 rakwb eng Wang, Jianbin verfasserin aut A class of wide neighborhood interior-point algorithms based on the algebraic equivalent transformation technique with specific functions 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Akadémiai Kiadó, Budapest, Hungary 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we generalize the identity function and the square root function used in the algebraic equivalent transformation (AET) technique to a class of AET functions with an arbitrary positive integer parameter p. Based on this class of AET functions, we propose a class of wide neighborhood primal–dual interior-point algorithms for linear programming. For each function in this class of AET functions, we define its search direction and its wide neighborhood under a unified framework. The search directions of the proposed algorithms are constructed based on Ai–Zhang type direction and the corresponding second-order corrector direction. Moreover, we provided a unified analysis of the best iteration complexity of the proposed algorithms. Numerical results show the reliability of the proposed algorithms. Linear programming (dpeaa)DE-He213 Interior-point method (dpeaa)DE-He213 Second-order method (dpeaa)DE-He213 Wide neighborhood (dpeaa)DE-He213 Yuan, Jianhua aut Ai, Wenbao aut Enthalten in Periodica mathematica Hungarica Dordrecht [u.a.] : Springer Science + Business Media B.V., 1971 88(2023), 1 vom: 15. Sept., Seite 172-189 (DE-627)270131264 (DE-600)1476886-0 1588-2829 nnns volume:88 year:2023 number:1 day:15 month:09 pages:172-189 https://dx.doi.org/10.1007/s10998-023-00546-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 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_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 88 2023 1 15 09 172-189
language	English
source	Enthalten in Periodica mathematica Hungarica 88(2023), 1 vom: 15. Sept., Seite 172-189 volume:88 year:2023 number:1 day:15 month:09 pages:172-189
sourceStr	Enthalten in Periodica mathematica Hungarica 88(2023), 1 vom: 15. Sept., Seite 172-189 volume:88 year:2023 number:1 day:15 month:09 pages:172-189
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Linear programming Interior-point method Second-order method Wide neighborhood
isfreeaccess_bool	false
container_title	Periodica mathematica Hungarica
authorswithroles_txt_mv	Wang, Jianbin @@aut@@ Yuan, Jianhua @@aut@@ Ai, Wenbao @@aut@@
publishDateDaySort_date	2023-09-15T00:00:00Z
hierarchy_top_id	270131264
id	SPR054820782
language_de	englisch
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author	Wang, Jianbin
spellingShingle	Wang, Jianbin misc Linear programming misc Interior-point method misc Second-order method misc Wide neighborhood A class of wide neighborhood interior-point algorithms based on the algebraic equivalent transformation technique with specific functions
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topic_title	A class of wide neighborhood interior-point algorithms based on the algebraic equivalent transformation technique with specific functions Linear programming (dpeaa)DE-He213 Interior-point method (dpeaa)DE-He213 Second-order method (dpeaa)DE-He213 Wide neighborhood (dpeaa)DE-He213
topic	misc Linear programming misc Interior-point method misc Second-order method misc Wide neighborhood
topic_unstemmed	misc Linear programming misc Interior-point method misc Second-order method misc Wide neighborhood
topic_browse	misc Linear programming misc Interior-point method misc Second-order method misc Wide neighborhood
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title	A class of wide neighborhood interior-point algorithms based on the algebraic equivalent transformation technique with specific functions
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title_full	A class of wide neighborhood interior-point algorithms based on the algebraic equivalent transformation technique with specific functions
author_sort	Wang, Jianbin
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doi_str_mv	10.1007/s10998-023-00546-1
title_sort	class of wide neighborhood interior-point algorithms based on the algebraic equivalent transformation technique with specific functions
title_auth	A class of wide neighborhood interior-point algorithms based on the algebraic equivalent transformation technique with specific functions
abstract	Abstract In this paper, we generalize the identity function and the square root function used in the algebraic equivalent transformation (AET) technique to a class of AET functions with an arbitrary positive integer parameter p. Based on this class of AET functions, we propose a class of wide neighborhood primal–dual interior-point algorithms for linear programming. For each function in this class of AET functions, we define its search direction and its wide neighborhood under a unified framework. The search directions of the proposed algorithms are constructed based on Ai–Zhang type direction and the corresponding second-order corrector direction. Moreover, we provided a unified analysis of the best iteration complexity of the proposed algorithms. Numerical results show the reliability of the proposed algorithms. © Akadémiai Kiadó, Budapest, Hungary 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstractGer	Abstract In this paper, we generalize the identity function and the square root function used in the algebraic equivalent transformation (AET) technique to a class of AET functions with an arbitrary positive integer parameter p. Based on this class of AET functions, we propose a class of wide neighborhood primal–dual interior-point algorithms for linear programming. For each function in this class of AET functions, we define its search direction and its wide neighborhood under a unified framework. The search directions of the proposed algorithms are constructed based on Ai–Zhang type direction and the corresponding second-order corrector direction. Moreover, we provided a unified analysis of the best iteration complexity of the proposed algorithms. Numerical results show the reliability of the proposed algorithms. © Akadémiai Kiadó, Budapest, Hungary 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
abstract_unstemmed	Abstract In this paper, we generalize the identity function and the square root function used in the algebraic equivalent transformation (AET) technique to a class of AET functions with an arbitrary positive integer parameter p. Based on this class of AET functions, we propose a class of wide neighborhood primal–dual interior-point algorithms for linear programming. For each function in this class of AET functions, we define its search direction and its wide neighborhood under a unified framework. The search directions of the proposed algorithms are constructed based on Ai–Zhang type direction and the corresponding second-order corrector direction. Moreover, we provided a unified analysis of the best iteration complexity of the proposed algorithms. Numerical results show the reliability of the proposed algorithms. © Akadémiai Kiadó, Budapest, Hungary 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
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title_short	A class of wide neighborhood interior-point algorithms based on the algebraic equivalent transformation technique with specific functions
url	https://dx.doi.org/10.1007/s10998-023-00546-1
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author2	Yuan, Jianhua Ai, Wenbao
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up_date	2024-07-04T03:08:46.101Z
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper, we generalize the identity function and the square root function used in the algebraic equivalent transformation (AET) technique to a class of AET functions with an arbitrary positive integer parameter p. Based on this class of AET functions, we propose a class of wide neighborhood primal–dual interior-point algorithms for linear programming. For each function in this class of AET functions, we define its search direction and its wide neighborhood under a unified framework. The search directions of the proposed algorithms are constructed based on Ai–Zhang type direction and the corresponding second-order corrector direction. Moreover, we provided a unified analysis of the best iteration complexity of the proposed algorithms. Numerical results show the reliability of the proposed algorithms.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Linear programming</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Interior-point method</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Second-order method</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wide neighborhood</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Yuan, Jianhua</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ai, Wenbao</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Periodica mathematica Hungarica</subfield><subfield code="d">Dordrecht [u.a.] : Springer Science + Business Media B.V., 1971</subfield><subfield code="g">88(2023), 1 vom: 15. Sept., Seite 172-189</subfield><subfield code="w">(DE-627)270131264</subfield><subfield code="w">(DE-600)1476886-0</subfield><subfield code="x">1588-2829</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:88</subfield><subfield code="g">year:2023</subfield><subfield code="g">number:1</subfield><subfield code="g">day:15</subfield><subfield code="g">month:09</subfield><subfield code="g">pages:172-189</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.1007/s10998-023-00546-1</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_SPRINGER</subfield></datafield><datafield tag="912" 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A class of wide neighborhood interior-point algorithms based on the algebraic equivalent transformation technique with specific functions

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