On preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting method for complex symmetric linear systems
Abstract In this paper, we introduce a preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting (PE-SHSS) iteration method for solving a class of complex symmetric system of linear equations. The convergence properties of the PE-SHSS iteration method are investigated unde...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Xie, Xian [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020 |
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| Schlagwörter: |
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| Anmerkung: |
© The JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature 2020 |
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| Übergeordnetes Werk: |
Enthalten in: Japan journal of industrial and applied mathematics - Springer Japan, 1991, 38(2020), 2 vom: 04. Nov., Seite 503-518 |
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| Übergeordnetes Werk: |
volume:38 ; year:2020 ; number:2 ; day:04 ; month:11 ; pages:503-518 |
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| DOI / URN: |
10.1007/s13160-020-00447-7 |
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| 520 | |a Abstract In this paper, we introduce a preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting (PE-SHSS) iteration method for solving a class of complex symmetric system of linear equations. The convergence properties of the PE-SHSS iteration method are investigated under suitable restrictions. In addition, the spectral properties of the corresponding preconditioned matrix are discussed. Finally, three numerical examples are also used to verify the effectiveness of the PE-SHSS iteration method. | ||
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10.1007/s13160-020-00447-7 doi (DE-627)OLC2125679345 (DE-He213)s13160-020-00447-7-p DE-627 ger DE-627 rakwb eng 510 VZ Xie, Xian verfasserin aut On preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting method for complex symmetric linear systems 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature 2020 Abstract In this paper, we introduce a preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting (PE-SHSS) iteration method for solving a class of complex symmetric system of linear equations. The convergence properties of the PE-SHSS iteration method are investigated under suitable restrictions. In addition, the spectral properties of the corresponding preconditioned matrix are discussed. Finally, three numerical examples are also used to verify the effectiveness of the PE-SHSS iteration method. Complex symmetric matrix PE-SHSS method Convergence analysis Li, Hou-biao (orcid)0000-0002-7268-307X aut Enthalten in Japan journal of industrial and applied mathematics Springer Japan, 1991 38(2020), 2 vom: 04. Nov., Seite 503-518 (DE-627)131006088 (DE-600)1086800-8 (DE-576)027067874 0916-7005 nnns volume:38 year:2020 number:2 day:04 month:11 pages:503-518 https://doi.org/10.1007/s13160-020-00447-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 38 2020 2 04 11 503-518 |
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10.1007/s13160-020-00447-7 doi (DE-627)OLC2125679345 (DE-He213)s13160-020-00447-7-p DE-627 ger DE-627 rakwb eng 510 VZ Xie, Xian verfasserin aut On preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting method for complex symmetric linear systems 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature 2020 Abstract In this paper, we introduce a preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting (PE-SHSS) iteration method for solving a class of complex symmetric system of linear equations. The convergence properties of the PE-SHSS iteration method are investigated under suitable restrictions. In addition, the spectral properties of the corresponding preconditioned matrix are discussed. Finally, three numerical examples are also used to verify the effectiveness of the PE-SHSS iteration method. Complex symmetric matrix PE-SHSS method Convergence analysis Li, Hou-biao (orcid)0000-0002-7268-307X aut Enthalten in Japan journal of industrial and applied mathematics Springer Japan, 1991 38(2020), 2 vom: 04. Nov., Seite 503-518 (DE-627)131006088 (DE-600)1086800-8 (DE-576)027067874 0916-7005 nnns volume:38 year:2020 number:2 day:04 month:11 pages:503-518 https://doi.org/10.1007/s13160-020-00447-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 38 2020 2 04 11 503-518 |
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10.1007/s13160-020-00447-7 doi (DE-627)OLC2125679345 (DE-He213)s13160-020-00447-7-p DE-627 ger DE-627 rakwb eng 510 VZ Xie, Xian verfasserin aut On preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting method for complex symmetric linear systems 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature 2020 Abstract In this paper, we introduce a preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting (PE-SHSS) iteration method for solving a class of complex symmetric system of linear equations. The convergence properties of the PE-SHSS iteration method are investigated under suitable restrictions. In addition, the spectral properties of the corresponding preconditioned matrix are discussed. Finally, three numerical examples are also used to verify the effectiveness of the PE-SHSS iteration method. Complex symmetric matrix PE-SHSS method Convergence analysis Li, Hou-biao (orcid)0000-0002-7268-307X aut Enthalten in Japan journal of industrial and applied mathematics Springer Japan, 1991 38(2020), 2 vom: 04. Nov., Seite 503-518 (DE-627)131006088 (DE-600)1086800-8 (DE-576)027067874 0916-7005 nnns volume:38 year:2020 number:2 day:04 month:11 pages:503-518 https://doi.org/10.1007/s13160-020-00447-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 38 2020 2 04 11 503-518 |
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10.1007/s13160-020-00447-7 doi (DE-627)OLC2125679345 (DE-He213)s13160-020-00447-7-p DE-627 ger DE-627 rakwb eng 510 VZ Xie, Xian verfasserin aut On preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting method for complex symmetric linear systems 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature 2020 Abstract In this paper, we introduce a preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting (PE-SHSS) iteration method for solving a class of complex symmetric system of linear equations. The convergence properties of the PE-SHSS iteration method are investigated under suitable restrictions. In addition, the spectral properties of the corresponding preconditioned matrix are discussed. Finally, three numerical examples are also used to verify the effectiveness of the PE-SHSS iteration method. Complex symmetric matrix PE-SHSS method Convergence analysis Li, Hou-biao (orcid)0000-0002-7268-307X aut Enthalten in Japan journal of industrial and applied mathematics Springer Japan, 1991 38(2020), 2 vom: 04. Nov., Seite 503-518 (DE-627)131006088 (DE-600)1086800-8 (DE-576)027067874 0916-7005 nnns volume:38 year:2020 number:2 day:04 month:11 pages:503-518 https://doi.org/10.1007/s13160-020-00447-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 38 2020 2 04 11 503-518 |
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10.1007/s13160-020-00447-7 doi (DE-627)OLC2125679345 (DE-He213)s13160-020-00447-7-p DE-627 ger DE-627 rakwb eng 510 VZ Xie, Xian verfasserin aut On preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting method for complex symmetric linear systems 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature 2020 Abstract In this paper, we introduce a preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting (PE-SHSS) iteration method for solving a class of complex symmetric system of linear equations. The convergence properties of the PE-SHSS iteration method are investigated under suitable restrictions. In addition, the spectral properties of the corresponding preconditioned matrix are discussed. Finally, three numerical examples are also used to verify the effectiveness of the PE-SHSS iteration method. Complex symmetric matrix PE-SHSS method Convergence analysis Li, Hou-biao (orcid)0000-0002-7268-307X aut Enthalten in Japan journal of industrial and applied mathematics Springer Japan, 1991 38(2020), 2 vom: 04. Nov., Seite 503-518 (DE-627)131006088 (DE-600)1086800-8 (DE-576)027067874 0916-7005 nnns volume:38 year:2020 number:2 day:04 month:11 pages:503-518 https://doi.org/10.1007/s13160-020-00447-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 38 2020 2 04 11 503-518 |
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Abstract In this paper, we introduce a preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting (PE-SHSS) iteration method for solving a class of complex symmetric system of linear equations. The convergence properties of the PE-SHSS iteration method are investigated under suitable restrictions. In addition, the spectral properties of the corresponding preconditioned matrix are discussed. Finally, three numerical examples are also used to verify the effectiveness of the PE-SHSS iteration method. © The JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature 2020 |
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Abstract In this paper, we introduce a preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting (PE-SHSS) iteration method for solving a class of complex symmetric system of linear equations. The convergence properties of the PE-SHSS iteration method are investigated under suitable restrictions. In addition, the spectral properties of the corresponding preconditioned matrix are discussed. Finally, three numerical examples are also used to verify the effectiveness of the PE-SHSS iteration method. © The JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature 2020 |
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Abstract In this paper, we introduce a preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting (PE-SHSS) iteration method for solving a class of complex symmetric system of linear equations. The convergence properties of the PE-SHSS iteration method are investigated under suitable restrictions. In addition, the spectral properties of the corresponding preconditioned matrix are discussed. Finally, three numerical examples are also used to verify the effectiveness of the PE-SHSS iteration method. © The JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature 2020 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">OLC2125679345</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230505104447.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230505s2020 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s13160-020-00447-7</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2125679345</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s13160-020-00447-7-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="100" ind1="1" ind2=" "><subfield code="a">Xie, Xian</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting method for complex symmetric linear systems</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2020</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 JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature 2020</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper, we introduce a preconditioned Euler-extrapolated single-step Hermitian and skew-Hermitian splitting (PE-SHSS) iteration method for solving a class of complex symmetric system of linear equations. The convergence properties of the PE-SHSS iteration method are investigated under suitable restrictions. In addition, the spectral properties of the corresponding preconditioned matrix are discussed. Finally, three numerical examples are also used to verify the effectiveness of the PE-SHSS iteration method.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Complex symmetric matrix</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">PE-SHSS method</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Convergence analysis</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Li, Hou-biao</subfield><subfield code="0">(orcid)0000-0002-7268-307X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Japan journal of industrial and applied mathematics</subfield><subfield code="d">Springer Japan, 1991</subfield><subfield code="g">38(2020), 2 vom: 04. Nov., Seite 503-518</subfield><subfield code="w">(DE-627)131006088</subfield><subfield code="w">(DE-600)1086800-8</subfield><subfield code="w">(DE-576)027067874</subfield><subfield code="x">0916-7005</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:38</subfield><subfield code="g">year:2020</subfield><subfield code="g">number:2</subfield><subfield code="g">day:04</subfield><subfield code="g">month:11</subfield><subfield code="g">pages:503-518</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s13160-020-00447-7</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_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">38</subfield><subfield code="j">2020</subfield><subfield code="e">2</subfield><subfield code="b">04</subfield><subfield code="c">11</subfield><subfield code="h">503-518</subfield></datafield></record></collection>
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