New modulus-based matrix splitting methods for implicit complementarity problem
Abstract In this paper, based on the published works by Bai and Tong (J. Univ. Electr. Sci. Tech. China 22:420–424, 1993) and Bai and Huang (J. Univ. Electr. Sci. Tech. China 23:428–432, 1994), we design a class of new modulus-based matrix splitting methods for solving the implicit complementarity p...
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Gespeichert in:
| Autor*in: |
Wu, Shiliang [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 |
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| Übergeordnetes Werk: |
Enthalten in: Numerical algorithms - Springer US, 1991, 90(2022), 4 vom: 12. Jan., Seite 1735-1754 |
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| Übergeordnetes Werk: |
volume:90 ; year:2022 ; number:4 ; day:12 ; month:01 ; pages:1735-1754 |
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| DOI / URN: |
10.1007/s11075-021-01249-9 |
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10.1007/s11075-021-01249-9 doi (DE-627)OLC2079160877 (DE-He213)s11075-021-01249-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Wu, Shiliang verfasserin aut New modulus-based matrix splitting methods for implicit complementarity problem 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 Abstract In this paper, based on the published works by Bai and Tong (J. Univ. Electr. Sci. Tech. China 22:420–424, 1993) and Bai and Huang (J. Univ. Electr. Sci. Tech. China 23:428–432, 1994), we design a class of new modulus-based matrix splitting methods for solving the implicit complementarity problem (ICP) by a new equivalent fixed-point form of the ICP. Some sufficient conditions to guarantee the convergence of the proposed method are presented. Numerical examples are offered to show the efficiency of the proposed method. Implicit complementarity problem Matrix splitting Iteration method Convergence Li, Liang (orcid)0000-0002-3847-0310 aut Enthalten in Numerical algorithms Springer US, 1991 90(2022), 4 vom: 12. Jan., Seite 1735-1754 (DE-627)130981753 (DE-600)1075844-6 (DE-576)029154111 1017-1398 nnns volume:90 year:2022 number:4 day:12 month:01 pages:1735-1754 https://doi.org/10.1007/s11075-021-01249-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 90 2022 4 12 01 1735-1754 |
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Abstract In this paper, based on the published works by Bai and Tong (J. Univ. Electr. Sci. Tech. China 22:420–424, 1993) and Bai and Huang (J. Univ. Electr. Sci. Tech. China 23:428–432, 1994), we design a class of new modulus-based matrix splitting methods for solving the implicit complementarity problem (ICP) by a new equivalent fixed-point form of the ICP. Some sufficient conditions to guarantee the convergence of the proposed method are presented. Numerical examples are offered to show the efficiency of the proposed method. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2079160877</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230506040021.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">221220s2022 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11075-021-01249-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2079160877</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11075-021-01249-9-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Wu, Shiliang</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">New modulus-based matrix splitting methods for implicit complementarity problem</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2022</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper, based on the published works by Bai and Tong (J. Univ. Electr. Sci. Tech. China 22:420–424, 1993) and Bai and Huang (J. Univ. Electr. Sci. Tech. China 23:428–432, 1994), we design a class of new modulus-based matrix splitting methods for solving the implicit complementarity problem (ICP) by a new equivalent fixed-point form of the ICP. Some sufficient conditions to guarantee the convergence of the proposed method are presented. Numerical examples are offered to show the efficiency of the proposed method.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Implicit complementarity problem</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Matrix splitting</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Iteration method</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Convergence</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Li, Liang</subfield><subfield code="0">(orcid)0000-0002-3847-0310</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Numerical algorithms</subfield><subfield code="d">Springer US, 1991</subfield><subfield code="g">90(2022), 4 vom: 12. 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