85 citations · 343 across the 19 of their papers we have counts for
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math.NA2021★ 1 cited
Accelerated derivative-free spectral residual method for nonlinear systems of equations
Ernesto G. Birgin, John L. Gardenghi, Diaulas S. Marcondes +1
Spectral residual methods are powerful tools for solving nonlinear systems of equations without derivatives. In a recent paper, it was shown that an acceleration technique based on…
math.NA2021★ 10 cited
Accelerated derivative-free nonlinear least-squares applied to the estimation of Manning coefficients
E. G. Birgin, J. M. Martínez
A general framework for solving nonlinear least squares problems without the employment of derivatives is proposed in the present paper together with a new general global convergen…
math.NA2020★ 3 cited
Secant acceleration of sequential residual methods for solving large-scale nonlinear systems of equations
Ernesto G. Birgin, J. M. Martínez
Sequential Residual Methods try to solve nonlinear systems of equations by iteratively updating the current approximate solution along a residual-related direction. Theref…