Practical Quasi-Newton algorithms for singular nonlinear systems

A class of methods for solving nonlinear simultaneous equations

C. G. Broyden · Mathematics of Computation · 1965 · 2.7K citations

Natural Sciences, Mathematics, Differential Equations +9

Practical quasi-Newton methods for solving nonlinear systems

J. M. Martı́nez · Journal of Computational and Applied Mathematics · 2000 · 224 citations

Natural Sciences, Computer Science, Mathematics +12

Tensor Methods for Nonlinear Equations

Robert B. Schnabel, Paul D. Frank · SIAM Journal on Numerical Analysis · 1984 · 153 citations

Natural Sciences, Computer Science, Mathematics +12

On Solving Nonlinear Equations with Simple Singularities or Nearly Singular Solutions

Andreas Griewank · SIAM Review · 1985 · 128 citations

Computing, Computer Science, Mathematics +17

On Newton’s Method for Singular Problems

G. W. Reddien · SIAM Journal on Numerical Analysis · 1978 · 116 citations

Natural Sciences, Computer Science, Mathematics +17