A modified Shamanskii accelerated scheme via diagonal Jacobian approximation for nonlinear equations
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 c...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
2020
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| Subjects: | |
| Online Access: | http://eprints.unisza.edu.my/7421/1/FH02-FIK-20-46981.pdf http://eprints.unisza.edu.my/7421/ |
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| 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. |
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