A structured quasi-Newton algorithm with nonmonotone search strategy for structured NLS problems and its application in robotic motion control
This article proposes a structured diagonal Hessian approximation for solving non-linear least-squares (NLS) problems. We devised a modified structured matrix that satisfies the weak secant equation. This structured matrix is then used to derive the structured diagonal approximation of the Hessian i...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Yahaya, Mahmoud Muhammad [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021transfer abstract |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics - Hu, Xing ELSEVIER, 2015transfer abstract, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:395 ; year:2021 ; day:15 ; month:10 ; pages:0 |
| Links: |
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| DOI / URN: |
10.1016/j.cam.2021.113582 |
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ELV053932900 |
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| 520 | |a This article proposes a structured diagonal Hessian approximation for solving non-linear least-squares (NLS) problems. We devised a modified structured matrix that satisfies the weak secant equation. This structured matrix is then used to derive the structured diagonal approximation of the Hessian in a similar pattern as the paper of Andrei (2019). By solving a minimization problem, we derived the formulation of the structured diagonal approximation of the Hessian by minimizing the deviation between any two successive updates and the trace of the updated diagonal matrix so that the modified structured weak secant equation is satisfied. More so, we show the global convergence of the proposed algorithm under some standard assumptions. Comparative numerical experiments on some benchmark problems with 308 instances show the efficacy of the proposed algorithm. Finally, we reveal the applicability of the proposed algorithm in the motion control of two planar robots. | ||
| 520 | |a This article proposes a structured diagonal Hessian approximation for solving non-linear least-squares (NLS) problems. We devised a modified structured matrix that satisfies the weak secant equation. This structured matrix is then used to derive the structured diagonal approximation of the Hessian in a similar pattern as the paper of Andrei (2019). By solving a minimization problem, we derived the formulation of the structured diagonal approximation of the Hessian by minimizing the deviation between any two successive updates and the trace of the updated diagonal matrix so that the modified structured weak secant equation is satisfied. More so, we show the global convergence of the proposed algorithm under some standard assumptions. Comparative numerical experiments on some benchmark problems with 308 instances show the efficacy of the proposed algorithm. Finally, we reveal the applicability of the proposed algorithm in the motion control of two planar robots. | ||
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10.1016/j.cam.2021.113582 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001440.pica (DE-627)ELV053932900 (ELSEVIER)S0377-0427(21)00202-8 DE-627 ger DE-627 rakwb eng 670 VZ 540 VZ 630 VZ Yahaya, Mahmoud Muhammad verfasserin aut A structured quasi-Newton algorithm with nonmonotone search strategy for structured NLS problems and its application in robotic motion control 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This article proposes a structured diagonal Hessian approximation for solving non-linear least-squares (NLS) problems. We devised a modified structured matrix that satisfies the weak secant equation. This structured matrix is then used to derive the structured diagonal approximation of the Hessian in a similar pattern as the paper of Andrei (2019). By solving a minimization problem, we derived the formulation of the structured diagonal approximation of the Hessian by minimizing the deviation between any two successive updates and the trace of the updated diagonal matrix so that the modified structured weak secant equation is satisfied. More so, we show the global convergence of the proposed algorithm under some standard assumptions. Comparative numerical experiments on some benchmark problems with 308 instances show the efficacy of the proposed algorithm. Finally, we reveal the applicability of the proposed algorithm in the motion control of two planar robots. This article proposes a structured diagonal Hessian approximation for solving non-linear least-squares (NLS) problems. We devised a modified structured matrix that satisfies the weak secant equation. This structured matrix is then used to derive the structured diagonal approximation of the Hessian in a similar pattern as the paper of Andrei (2019). By solving a minimization problem, we derived the formulation of the structured diagonal approximation of the Hessian by minimizing the deviation between any two successive updates and the trace of the updated diagonal matrix so that the modified structured weak secant equation is satisfied. More so, we show the global convergence of the proposed algorithm under some standard assumptions. Comparative numerical experiments on some benchmark problems with 308 instances show the efficacy of the proposed algorithm. Finally, we reveal the applicability of the proposed algorithm in the motion control of two planar robots. 93E24 Elsevier 90C56 Elsevier 90C06 Elsevier Kumam, Poom oth Awwal, Aliyu Muhammed oth Aji, Sani oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:395 year:2021 day:15 month:10 pages:0 https://doi.org/10.1016/j.cam.2021.113582 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 395 2021 15 1015 0 |
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10.1016/j.cam.2021.113582 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001440.pica (DE-627)ELV053932900 (ELSEVIER)S0377-0427(21)00202-8 DE-627 ger DE-627 rakwb eng 670 VZ 540 VZ 630 VZ Yahaya, Mahmoud Muhammad verfasserin aut A structured quasi-Newton algorithm with nonmonotone search strategy for structured NLS problems and its application in robotic motion control 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This article proposes a structured diagonal Hessian approximation for solving non-linear least-squares (NLS) problems. We devised a modified structured matrix that satisfies the weak secant equation. This structured matrix is then used to derive the structured diagonal approximation of the Hessian in a similar pattern as the paper of Andrei (2019). By solving a minimization problem, we derived the formulation of the structured diagonal approximation of the Hessian by minimizing the deviation between any two successive updates and the trace of the updated diagonal matrix so that the modified structured weak secant equation is satisfied. More so, we show the global convergence of the proposed algorithm under some standard assumptions. Comparative numerical experiments on some benchmark problems with 308 instances show the efficacy of the proposed algorithm. Finally, we reveal the applicability of the proposed algorithm in the motion control of two planar robots. This article proposes a structured diagonal Hessian approximation for solving non-linear least-squares (NLS) problems. We devised a modified structured matrix that satisfies the weak secant equation. This structured matrix is then used to derive the structured diagonal approximation of the Hessian in a similar pattern as the paper of Andrei (2019). By solving a minimization problem, we derived the formulation of the structured diagonal approximation of the Hessian by minimizing the deviation between any two successive updates and the trace of the updated diagonal matrix so that the modified structured weak secant equation is satisfied. More so, we show the global convergence of the proposed algorithm under some standard assumptions. Comparative numerical experiments on some benchmark problems with 308 instances show the efficacy of the proposed algorithm. Finally, we reveal the applicability of the proposed algorithm in the motion control of two planar robots. 93E24 Elsevier 90C56 Elsevier 90C06 Elsevier Kumam, Poom oth Awwal, Aliyu Muhammed oth Aji, Sani oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:395 year:2021 day:15 month:10 pages:0 https://doi.org/10.1016/j.cam.2021.113582 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 395 2021 15 1015 0 |
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10.1016/j.cam.2021.113582 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001440.pica (DE-627)ELV053932900 (ELSEVIER)S0377-0427(21)00202-8 DE-627 ger DE-627 rakwb eng 670 VZ 540 VZ 630 VZ Yahaya, Mahmoud Muhammad verfasserin aut A structured quasi-Newton algorithm with nonmonotone search strategy for structured NLS problems and its application in robotic motion control 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This article proposes a structured diagonal Hessian approximation for solving non-linear least-squares (NLS) problems. We devised a modified structured matrix that satisfies the weak secant equation. This structured matrix is then used to derive the structured diagonal approximation of the Hessian in a similar pattern as the paper of Andrei (2019). By solving a minimization problem, we derived the formulation of the structured diagonal approximation of the Hessian by minimizing the deviation between any two successive updates and the trace of the updated diagonal matrix so that the modified structured weak secant equation is satisfied. More so, we show the global convergence of the proposed algorithm under some standard assumptions. Comparative numerical experiments on some benchmark problems with 308 instances show the efficacy of the proposed algorithm. Finally, we reveal the applicability of the proposed algorithm in the motion control of two planar robots. This article proposes a structured diagonal Hessian approximation for solving non-linear least-squares (NLS) problems. We devised a modified structured matrix that satisfies the weak secant equation. This structured matrix is then used to derive the structured diagonal approximation of the Hessian in a similar pattern as the paper of Andrei (2019). By solving a minimization problem, we derived the formulation of the structured diagonal approximation of the Hessian by minimizing the deviation between any two successive updates and the trace of the updated diagonal matrix so that the modified structured weak secant equation is satisfied. More so, we show the global convergence of the proposed algorithm under some standard assumptions. Comparative numerical experiments on some benchmark problems with 308 instances show the efficacy of the proposed algorithm. Finally, we reveal the applicability of the proposed algorithm in the motion control of two planar robots. 93E24 Elsevier 90C56 Elsevier 90C06 Elsevier Kumam, Poom oth Awwal, Aliyu Muhammed oth Aji, Sani oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:395 year:2021 day:15 month:10 pages:0 https://doi.org/10.1016/j.cam.2021.113582 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 395 2021 15 1015 0 |
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A structured quasi-Newton algorithm with nonmonotone search strategy for structured NLS problems and its application in robotic motion control |
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A structured quasi-Newton algorithm with nonmonotone search strategy for structured NLS problems and its application in robotic motion control |
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Yahaya, Mahmoud Muhammad |
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Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics |
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Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics |
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Elektronische Aufsätze |
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Yahaya, Mahmoud Muhammad |
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10.1016/j.cam.2021.113582 |
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670 540 630 |
| title_sort |
a structured quasi-newton algorithm with nonmonotone search strategy for structured nls problems and its application in robotic motion control |
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A structured quasi-Newton algorithm with nonmonotone search strategy for structured NLS problems and its application in robotic motion control |
| abstract |
This article proposes a structured diagonal Hessian approximation for solving non-linear least-squares (NLS) problems. We devised a modified structured matrix that satisfies the weak secant equation. This structured matrix is then used to derive the structured diagonal approximation of the Hessian in a similar pattern as the paper of Andrei (2019). By solving a minimization problem, we derived the formulation of the structured diagonal approximation of the Hessian by minimizing the deviation between any two successive updates and the trace of the updated diagonal matrix so that the modified structured weak secant equation is satisfied. More so, we show the global convergence of the proposed algorithm under some standard assumptions. Comparative numerical experiments on some benchmark problems with 308 instances show the efficacy of the proposed algorithm. Finally, we reveal the applicability of the proposed algorithm in the motion control of two planar robots. |
| abstractGer |
This article proposes a structured diagonal Hessian approximation for solving non-linear least-squares (NLS) problems. We devised a modified structured matrix that satisfies the weak secant equation. This structured matrix is then used to derive the structured diagonal approximation of the Hessian in a similar pattern as the paper of Andrei (2019). By solving a minimization problem, we derived the formulation of the structured diagonal approximation of the Hessian by minimizing the deviation between any two successive updates and the trace of the updated diagonal matrix so that the modified structured weak secant equation is satisfied. More so, we show the global convergence of the proposed algorithm under some standard assumptions. Comparative numerical experiments on some benchmark problems with 308 instances show the efficacy of the proposed algorithm. Finally, we reveal the applicability of the proposed algorithm in the motion control of two planar robots. |
| abstract_unstemmed |
This article proposes a structured diagonal Hessian approximation for solving non-linear least-squares (NLS) problems. We devised a modified structured matrix that satisfies the weak secant equation. This structured matrix is then used to derive the structured diagonal approximation of the Hessian in a similar pattern as the paper of Andrei (2019). By solving a minimization problem, we derived the formulation of the structured diagonal approximation of the Hessian by minimizing the deviation between any two successive updates and the trace of the updated diagonal matrix so that the modified structured weak secant equation is satisfied. More so, we show the global convergence of the proposed algorithm under some standard assumptions. Comparative numerical experiments on some benchmark problems with 308 instances show the efficacy of the proposed algorithm. Finally, we reveal the applicability of the proposed algorithm in the motion control of two planar robots. |
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A structured quasi-Newton algorithm with nonmonotone search strategy for structured NLS problems and its application in robotic motion control |
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https://doi.org/10.1016/j.cam.2021.113582 |
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Kumam, Poom Awwal, Aliyu Muhammed Aji, Sani |
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