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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functions solving largescale systems of nonlinear equations diagonal quasinewton update wellknown newtonlike methods diagonal jacobian approximation quasicauchy relation

Zanariah Abdul Majid,Mohammed Yusuf Waziri,.An Improved Diagonal Jacobian Approximation via a New Quasi-Cauchy Condition for Solving Large-Scale Systems of Nonlinear Equations. 2013 (),.

Zanariah Abdul Majid,Mohammed Yusuf Waziri,"An Improved Diagonal Jacobian Approximation via a New Quasi-Cauchy Condition for Solving Large-Scale Systems of Nonlinear Equations" 2013

Zanariah Abdul Majid,Mohammed Yusuf Waziri,"An Improved Diagonal Jacobian Approximation via a New Quasi-Cauchy Condition for Solving Large-Scale Systems of Nonlinear Equations"