An Improved Diagonal Jacobian Approximation via a New Quasi-Cauchy Condition for Solving Large-Scale Systems of Nonlinear Equations
Keyword(s):
We present a new diagonal quasi-Newton update with an improved diagonal Jacobian approximation for solving large-scale systems of nonlinear equations. In this approach, the Jacobian approximation is derived based on the quasi-Cauchy condition. The anticipation has been to further improve the performance of diagonal updating, by modifying the quasi-Cauchy relation so as to carry some additional information from the functions. The effectiveness of our proposed scheme is appraised through numerical comparison with some well-known Newton-like methods.
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1988 ◽
Vol 24
(3)
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pp. 365-392
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2016 ◽
Vol 2016
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2016 ◽
Vol 5
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pp. 118
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2005 ◽
Vol 43
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pp. 1321-1347
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2017 ◽
Vol 6
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pp. 147
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