An iterative method and its application to stable inversion
Abstract In this paper, we study convergence and data dependence of SP and normal-S iterative methods for the class of almost contraction mappings under some mild conditions. The validity of these theoretical results is confirmed with numerical examples. It has been observed that a special case of S...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Gürsoy, Faik [verfasserIn] Eksteen, Johannes Jacobus Arnoldi [verfasserIn] Khan, Abdul Rahim [verfasserIn] Karakaya, Vatan [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Soft Computing - Springer-Verlag, 2003, 23(2018), 16 vom: 12. Juli, Seite 7393-7406 |
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| Übergeordnetes Werk: |
volume:23 ; year:2018 ; number:16 ; day:12 ; month:07 ; pages:7393-7406 |
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| DOI / URN: |
10.1007/s00500-018-3384-6 |
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| 520 | |a Abstract In this paper, we study convergence and data dependence of SP and normal-S iterative methods for the class of almost contraction mappings under some mild conditions. The validity of these theoretical results is confirmed with numerical examples. It has been observed that a special case of SP iterative method, namely normal-S iterative method, performs better and so the latter is implemented in the stable inversion of nonlinear discrete time dynamical systems to yield convergence results when Picard iterative method diverges. This is also illustrated with a numerical example. Our work extends and improves upon many results existing in the literature. | ||
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10.1007/s00500-018-3384-6 doi (DE-627)SPR006505686 (SPR)s00500-018-3384-6-e DE-627 ger DE-627 rakwb eng Gürsoy, Faik verfasserin aut An iterative method and its application to stable inversion 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we study convergence and data dependence of SP and normal-S iterative methods for the class of almost contraction mappings under some mild conditions. The validity of these theoretical results is confirmed with numerical examples. It has been observed that a special case of SP iterative method, namely normal-S iterative method, performs better and so the latter is implemented in the stable inversion of nonlinear discrete time dynamical systems to yield convergence results when Picard iterative method diverges. This is also illustrated with a numerical example. Our work extends and improves upon many results existing in the literature. Iterative method (dpeaa)DE-He213 Convergence (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213 Data dependency (dpeaa)DE-He213 Stable inversion (dpeaa)DE-He213 Eksteen, Johannes Jacobus Arnoldi verfasserin aut Khan, Abdul Rahim verfasserin aut Karakaya, Vatan verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 23(2018), 16 vom: 12. Juli, Seite 7393-7406 (DE-627)SPR006469531 nnns volume:23 year:2018 number:16 day:12 month:07 pages:7393-7406 https://dx.doi.org/10.1007/s00500-018-3384-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 23 2018 16 12 07 7393-7406 |
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10.1007/s00500-018-3384-6 doi (DE-627)SPR006505686 (SPR)s00500-018-3384-6-e DE-627 ger DE-627 rakwb eng Gürsoy, Faik verfasserin aut An iterative method and its application to stable inversion 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we study convergence and data dependence of SP and normal-S iterative methods for the class of almost contraction mappings under some mild conditions. The validity of these theoretical results is confirmed with numerical examples. It has been observed that a special case of SP iterative method, namely normal-S iterative method, performs better and so the latter is implemented in the stable inversion of nonlinear discrete time dynamical systems to yield convergence results when Picard iterative method diverges. This is also illustrated with a numerical example. Our work extends and improves upon many results existing in the literature. Iterative method (dpeaa)DE-He213 Convergence (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213 Data dependency (dpeaa)DE-He213 Stable inversion (dpeaa)DE-He213 Eksteen, Johannes Jacobus Arnoldi verfasserin aut Khan, Abdul Rahim verfasserin aut Karakaya, Vatan verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 23(2018), 16 vom: 12. Juli, Seite 7393-7406 (DE-627)SPR006469531 nnns volume:23 year:2018 number:16 day:12 month:07 pages:7393-7406 https://dx.doi.org/10.1007/s00500-018-3384-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 23 2018 16 12 07 7393-7406 |
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10.1007/s00500-018-3384-6 doi (DE-627)SPR006505686 (SPR)s00500-018-3384-6-e DE-627 ger DE-627 rakwb eng Gürsoy, Faik verfasserin aut An iterative method and its application to stable inversion 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we study convergence and data dependence of SP and normal-S iterative methods for the class of almost contraction mappings under some mild conditions. The validity of these theoretical results is confirmed with numerical examples. It has been observed that a special case of SP iterative method, namely normal-S iterative method, performs better and so the latter is implemented in the stable inversion of nonlinear discrete time dynamical systems to yield convergence results when Picard iterative method diverges. This is also illustrated with a numerical example. Our work extends and improves upon many results existing in the literature. Iterative method (dpeaa)DE-He213 Convergence (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213 Data dependency (dpeaa)DE-He213 Stable inversion (dpeaa)DE-He213 Eksteen, Johannes Jacobus Arnoldi verfasserin aut Khan, Abdul Rahim verfasserin aut Karakaya, Vatan verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 23(2018), 16 vom: 12. Juli, Seite 7393-7406 (DE-627)SPR006469531 nnns volume:23 year:2018 number:16 day:12 month:07 pages:7393-7406 https://dx.doi.org/10.1007/s00500-018-3384-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 23 2018 16 12 07 7393-7406 |
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10.1007/s00500-018-3384-6 doi (DE-627)SPR006505686 (SPR)s00500-018-3384-6-e DE-627 ger DE-627 rakwb eng Gürsoy, Faik verfasserin aut An iterative method and its application to stable inversion 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we study convergence and data dependence of SP and normal-S iterative methods for the class of almost contraction mappings under some mild conditions. The validity of these theoretical results is confirmed with numerical examples. It has been observed that a special case of SP iterative method, namely normal-S iterative method, performs better and so the latter is implemented in the stable inversion of nonlinear discrete time dynamical systems to yield convergence results when Picard iterative method diverges. This is also illustrated with a numerical example. Our work extends and improves upon many results existing in the literature. Iterative method (dpeaa)DE-He213 Convergence (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213 Data dependency (dpeaa)DE-He213 Stable inversion (dpeaa)DE-He213 Eksteen, Johannes Jacobus Arnoldi verfasserin aut Khan, Abdul Rahim verfasserin aut Karakaya, Vatan verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 23(2018), 16 vom: 12. Juli, Seite 7393-7406 (DE-627)SPR006469531 nnns volume:23 year:2018 number:16 day:12 month:07 pages:7393-7406 https://dx.doi.org/10.1007/s00500-018-3384-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 23 2018 16 12 07 7393-7406 |
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10.1007/s00500-018-3384-6 doi (DE-627)SPR006505686 (SPR)s00500-018-3384-6-e DE-627 ger DE-627 rakwb eng Gürsoy, Faik verfasserin aut An iterative method and its application to stable inversion 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we study convergence and data dependence of SP and normal-S iterative methods for the class of almost contraction mappings under some mild conditions. The validity of these theoretical results is confirmed with numerical examples. It has been observed that a special case of SP iterative method, namely normal-S iterative method, performs better and so the latter is implemented in the stable inversion of nonlinear discrete time dynamical systems to yield convergence results when Picard iterative method diverges. This is also illustrated with a numerical example. Our work extends and improves upon many results existing in the literature. Iterative method (dpeaa)DE-He213 Convergence (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213 Data dependency (dpeaa)DE-He213 Stable inversion (dpeaa)DE-He213 Eksteen, Johannes Jacobus Arnoldi verfasserin aut Khan, Abdul Rahim verfasserin aut Karakaya, Vatan verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 23(2018), 16 vom: 12. Juli, Seite 7393-7406 (DE-627)SPR006469531 nnns volume:23 year:2018 number:16 day:12 month:07 pages:7393-7406 https://dx.doi.org/10.1007/s00500-018-3384-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 23 2018 16 12 07 7393-7406 |
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Abstract In this paper, we study convergence and data dependence of SP and normal-S iterative methods for the class of almost contraction mappings under some mild conditions. The validity of these theoretical results is confirmed with numerical examples. It has been observed that a special case of SP iterative method, namely normal-S iterative method, performs better and so the latter is implemented in the stable inversion of nonlinear discrete time dynamical systems to yield convergence results when Picard iterative method diverges. This is also illustrated with a numerical example. Our work extends and improves upon many results existing in the literature. |
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Abstract In this paper, we study convergence and data dependence of SP and normal-S iterative methods for the class of almost contraction mappings under some mild conditions. The validity of these theoretical results is confirmed with numerical examples. It has been observed that a special case of SP iterative method, namely normal-S iterative method, performs better and so the latter is implemented in the stable inversion of nonlinear discrete time dynamical systems to yield convergence results when Picard iterative method diverges. This is also illustrated with a numerical example. Our work extends and improves upon many results existing in the literature. |
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Abstract In this paper, we study convergence and data dependence of SP and normal-S iterative methods for the class of almost contraction mappings under some mild conditions. The validity of these theoretical results is confirmed with numerical examples. It has been observed that a special case of SP iterative method, namely normal-S iterative method, performs better and so the latter is implemented in the stable inversion of nonlinear discrete time dynamical systems to yield convergence results when Picard iterative method diverges. This is also illustrated with a numerical example. Our work extends and improves upon many results existing in the literature. |
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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">SPR006505686</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20201124002907.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201005s2018 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00500-018-3384-6</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR006505686</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s00500-018-3384-6-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">Gürsoy, Faik</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="3"><subfield code="a">An iterative method and its application to stable inversion</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2018</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 In this paper, we study convergence and data dependence of SP and normal-S iterative methods for the class of almost contraction mappings under some mild conditions. The validity of these theoretical results is confirmed with numerical examples. It has been observed that a special case of SP iterative method, namely normal-S iterative method, performs better and so the latter is implemented in the stable inversion of nonlinear discrete time dynamical systems to yield convergence results when Picard iterative method diverges. This is also illustrated with a numerical example. Our work extends and improves upon many results existing in the literature.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Iterative method</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Convergence</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Rate of convergence</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Data dependency</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stable inversion</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Eksteen, Johannes Jacobus Arnoldi</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Khan, Abdul Rahim</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Karakaya, Vatan</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">23(2018), 16 vom: 12. Juli, Seite 7393-7406</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:23</subfield><subfield code="g">year:2018</subfield><subfield code="g">number:16</subfield><subfield code="g">day:12</subfield><subfield code="g">month:07</subfield><subfield code="g">pages:7393-7406</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.1007/s00500-018-3384-6</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">23</subfield><subfield code="j">2018</subfield><subfield code="e">16</subfield><subfield code="b">12</subfield><subfield code="c">07</subfield><subfield code="h">7393-7406</subfield></datafield></record></collection>
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