A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations

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date 2019-07-07 16:06:03
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id 13110
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spelling 13110 https://intelek.unisza.edu.my/intelek/pages/view.php?ref=13110 https://intelek.unisza.edu.my/intelek/pages/search.php?search=!collection407072 Restricted Document Article Journal application/pdf 4 Adobe Acrobat Pro DC 20 Paper Capture Plug-in 1.7 2019-07-07 16:06:03 7421-01-FH02-FIK-20-46981.pdf UniSZA Private Access A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations International Journal of Mathematical and Computational Methods This paper presents a variation of Newton’s method, based on a diagonal Jacobian approximation scheme on an accelerated Shamanskii process for systems of nonlinear equations especially on problems with singular Fréchet derivative at the solution points. This method aims to reduce the computation cost and storage requirements as in Newton-type methods. Numerical results are presented to illustrate the efficiency of the proposed scheme. 5 1 52-55
spellingShingle A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations
summary This paper presents a variation of Newton’s method, based on a diagonal Jacobian approximation scheme on an accelerated Shamanskii process for systems of nonlinear equations especially on problems with singular Fréchet derivative at the solution points. This method aims to reduce the computation cost and storage requirements as in Newton-type methods. Numerical results are presented to illustrate the efficiency of the proposed scheme.
title A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations
title_full A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations
title_fullStr A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations
title_full_unstemmed A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations
title_short A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations
title_sort modified shamanskii accelerated scheme via diagonal jacobian approximation for nonlinear equations