Image restoration by advanced parallel inertial forward–backward splitting methods
Abstract The paper proposes an advanced inertial forward–backward splitting algorithm in combination with a parallel hybrid method for approximating solutions of common variational inclusion problems. Strong convergence results have been obtained in real Hilbert spaces subject to certain suitable co...
Ausführliche Beschreibung
Autor*in: |
Yambangwai, Damrongsak [verfasserIn] Khan, Suhel Ahmad [verfasserIn] Dutta, Hemen [verfasserIn] Cholamjiak, Watcharaporn [verfasserIn] |
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E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2021 |
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Übergeordnetes Werk: |
Enthalten in: Soft Computing - Springer-Verlag, 2003, 25(2021), 8 vom: 13. Feb., Seite 6029-6042 |
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Übergeordnetes Werk: |
volume:25 ; year:2021 ; number:8 ; day:13 ; month:02 ; pages:6029-6042 |
Links: |
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DOI / URN: |
10.1007/s00500-021-05596-6 |
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SPR043619851 |
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520 | |a Abstract The paper proposes an advanced inertial forward–backward splitting algorithm in combination with a parallel hybrid method for approximating solutions of common variational inclusion problems. Strong convergence results have been obtained in real Hilbert spaces subject to certain suitable conditions. Applications and numerical results have also been incorporated to justify the applicability of our findings as well as comparability by exhibiting a better rate of convergence by our proposed algorithm than several other well-known algorithms. Further, we solve unconstrained image recovery problems and the quality of the proposed algorithm has also been demonstrated for common types of blur effects. | ||
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10.1007/s00500-021-05596-6 doi (DE-627)SPR043619851 (DE-599)SPRs00500-021-05596-6-e (SPR)s00500-021-05596-6-e DE-627 ger DE-627 rakwb eng Yambangwai, Damrongsak verfasserin aut Image restoration by advanced parallel inertial forward–backward splitting methods 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The paper proposes an advanced inertial forward–backward splitting algorithm in combination with a parallel hybrid method for approximating solutions of common variational inclusion problems. Strong convergence results have been obtained in real Hilbert spaces subject to certain suitable conditions. Applications and numerical results have also been incorporated to justify the applicability of our findings as well as comparability by exhibiting a better rate of convergence by our proposed algorithm than several other well-known algorithms. Further, we solve unconstrained image recovery problems and the quality of the proposed algorithm has also been demonstrated for common types of blur effects. Image restorations (dpeaa)DE-He213 Variational inclusion problems (dpeaa)DE-He213 Forward–backward algorithms (dpeaa)DE-He213 Hybrid algorithms (dpeaa)DE-He213 Khan, Suhel Ahmad verfasserin aut Dutta, Hemen verfasserin aut Cholamjiak, Watcharaporn verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 25(2021), 8 vom: 13. Feb., Seite 6029-6042 (DE-627)SPR006469531 nnns volume:25 year:2021 number:8 day:13 month:02 pages:6029-6042 https://dx.doi.org/10.1007/s00500-021-05596-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 25 2021 8 13 02 6029-6042 |
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10.1007/s00500-021-05596-6 doi (DE-627)SPR043619851 (DE-599)SPRs00500-021-05596-6-e (SPR)s00500-021-05596-6-e DE-627 ger DE-627 rakwb eng Yambangwai, Damrongsak verfasserin aut Image restoration by advanced parallel inertial forward–backward splitting methods 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The paper proposes an advanced inertial forward–backward splitting algorithm in combination with a parallel hybrid method for approximating solutions of common variational inclusion problems. Strong convergence results have been obtained in real Hilbert spaces subject to certain suitable conditions. Applications and numerical results have also been incorporated to justify the applicability of our findings as well as comparability by exhibiting a better rate of convergence by our proposed algorithm than several other well-known algorithms. Further, we solve unconstrained image recovery problems and the quality of the proposed algorithm has also been demonstrated for common types of blur effects. Image restorations (dpeaa)DE-He213 Variational inclusion problems (dpeaa)DE-He213 Forward–backward algorithms (dpeaa)DE-He213 Hybrid algorithms (dpeaa)DE-He213 Khan, Suhel Ahmad verfasserin aut Dutta, Hemen verfasserin aut Cholamjiak, Watcharaporn verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 25(2021), 8 vom: 13. Feb., Seite 6029-6042 (DE-627)SPR006469531 nnns volume:25 year:2021 number:8 day:13 month:02 pages:6029-6042 https://dx.doi.org/10.1007/s00500-021-05596-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 25 2021 8 13 02 6029-6042 |
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10.1007/s00500-021-05596-6 doi (DE-627)SPR043619851 (DE-599)SPRs00500-021-05596-6-e (SPR)s00500-021-05596-6-e DE-627 ger DE-627 rakwb eng Yambangwai, Damrongsak verfasserin aut Image restoration by advanced parallel inertial forward–backward splitting methods 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The paper proposes an advanced inertial forward–backward splitting algorithm in combination with a parallel hybrid method for approximating solutions of common variational inclusion problems. Strong convergence results have been obtained in real Hilbert spaces subject to certain suitable conditions. Applications and numerical results have also been incorporated to justify the applicability of our findings as well as comparability by exhibiting a better rate of convergence by our proposed algorithm than several other well-known algorithms. Further, we solve unconstrained image recovery problems and the quality of the proposed algorithm has also been demonstrated for common types of blur effects. Image restorations (dpeaa)DE-He213 Variational inclusion problems (dpeaa)DE-He213 Forward–backward algorithms (dpeaa)DE-He213 Hybrid algorithms (dpeaa)DE-He213 Khan, Suhel Ahmad verfasserin aut Dutta, Hemen verfasserin aut Cholamjiak, Watcharaporn verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 25(2021), 8 vom: 13. Feb., Seite 6029-6042 (DE-627)SPR006469531 nnns volume:25 year:2021 number:8 day:13 month:02 pages:6029-6042 https://dx.doi.org/10.1007/s00500-021-05596-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 25 2021 8 13 02 6029-6042 |
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10.1007/s00500-021-05596-6 doi (DE-627)SPR043619851 (DE-599)SPRs00500-021-05596-6-e (SPR)s00500-021-05596-6-e DE-627 ger DE-627 rakwb eng Yambangwai, Damrongsak verfasserin aut Image restoration by advanced parallel inertial forward–backward splitting methods 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract The paper proposes an advanced inertial forward–backward splitting algorithm in combination with a parallel hybrid method for approximating solutions of common variational inclusion problems. Strong convergence results have been obtained in real Hilbert spaces subject to certain suitable conditions. Applications and numerical results have also been incorporated to justify the applicability of our findings as well as comparability by exhibiting a better rate of convergence by our proposed algorithm than several other well-known algorithms. Further, we solve unconstrained image recovery problems and the quality of the proposed algorithm has also been demonstrated for common types of blur effects. Image restorations (dpeaa)DE-He213 Variational inclusion problems (dpeaa)DE-He213 Forward–backward algorithms (dpeaa)DE-He213 Hybrid algorithms (dpeaa)DE-He213 Khan, Suhel Ahmad verfasserin aut Dutta, Hemen verfasserin aut Cholamjiak, Watcharaporn verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 25(2021), 8 vom: 13. Feb., Seite 6029-6042 (DE-627)SPR006469531 nnns volume:25 year:2021 number:8 day:13 month:02 pages:6029-6042 https://dx.doi.org/10.1007/s00500-021-05596-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 25 2021 8 13 02 6029-6042 |
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Image restoration by advanced parallel inertial forward–backward splitting methods Image restorations (dpeaa)DE-He213 Variational inclusion problems (dpeaa)DE-He213 Forward–backward algorithms (dpeaa)DE-He213 Hybrid algorithms (dpeaa)DE-He213 |
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Abstract The paper proposes an advanced inertial forward–backward splitting algorithm in combination with a parallel hybrid method for approximating solutions of common variational inclusion problems. Strong convergence results have been obtained in real Hilbert spaces subject to certain suitable conditions. Applications and numerical results have also been incorporated to justify the applicability of our findings as well as comparability by exhibiting a better rate of convergence by our proposed algorithm than several other well-known algorithms. Further, we solve unconstrained image recovery problems and the quality of the proposed algorithm has also been demonstrated for common types of blur effects. |
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Abstract The paper proposes an advanced inertial forward–backward splitting algorithm in combination with a parallel hybrid method for approximating solutions of common variational inclusion problems. Strong convergence results have been obtained in real Hilbert spaces subject to certain suitable conditions. Applications and numerical results have also been incorporated to justify the applicability of our findings as well as comparability by exhibiting a better rate of convergence by our proposed algorithm than several other well-known algorithms. Further, we solve unconstrained image recovery problems and the quality of the proposed algorithm has also been demonstrated for common types of blur effects. |
abstract_unstemmed |
Abstract The paper proposes an advanced inertial forward–backward splitting algorithm in combination with a parallel hybrid method for approximating solutions of common variational inclusion problems. Strong convergence results have been obtained in real Hilbert spaces subject to certain suitable conditions. Applications and numerical results have also been incorporated to justify the applicability of our findings as well as comparability by exhibiting a better rate of convergence by our proposed algorithm than several other well-known algorithms. Further, we solve unconstrained image recovery problems and the quality of the proposed algorithm has also been demonstrated for common types of blur effects. |
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Image restoration by advanced parallel inertial forward–backward splitting methods |
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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">SPR043619851</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20210327064813.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">210327s2021 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00500-021-05596-6</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR043619851</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)SPRs00500-021-05596-6-e</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s00500-021-05596-6-e</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="100" ind1="1" ind2=" "><subfield code="a">Yambangwai, Damrongsak</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Image restoration by advanced parallel inertial forward–backward splitting methods</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2021</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">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The paper proposes an advanced inertial forward–backward splitting algorithm in combination with a parallel hybrid method for approximating solutions of common variational inclusion problems. Strong convergence results have been obtained in real Hilbert spaces subject to certain suitable conditions. Applications and numerical results have also been incorporated to justify the applicability of our findings as well as comparability by exhibiting a better rate of convergence by our proposed algorithm than several other well-known algorithms. Further, we solve unconstrained image recovery problems and the quality of the proposed algorithm has also been demonstrated for common types of blur effects.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Image restorations</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Variational inclusion problems</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Forward–backward algorithms</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hybrid algorithms</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Khan, Suhel Ahmad</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Dutta, Hemen</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Cholamjiak, Watcharaporn</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Soft Computing</subfield><subfield code="d">Springer-Verlag, 2003</subfield><subfield code="g">25(2021), 8 vom: 13. Feb., Seite 6029-6042</subfield><subfield code="w">(DE-627)SPR006469531</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:25</subfield><subfield code="g">year:2021</subfield><subfield code="g">number:8</subfield><subfield code="g">day:13</subfield><subfield code="g">month:02</subfield><subfield code="g">pages:6029-6042</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.1007/s00500-021-05596-6</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="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">25</subfield><subfield code="j">2021</subfield><subfield code="e">8</subfield><subfield code="b">13</subfield><subfield code="c">02</subfield><subfield code="h">6029-6042</subfield></datafield></record></collection>
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