Bunlsi—a fortran program for solution of systems of nonlinear algebraic equations

An Algorithm for Least-Squares Estimation of Nonlinear Parameters

Donald W. Marquardt · Journal of the Society for Industrial and Applied Mathematics · 1963 · 30.4K citations

Natural Sciences, Computational Engineering, Optimization +11

A method for the solution of certain non-linear problems in least squares

Kenneth Levenberg · Quarterly of Applied Mathematics · 1944 · 12.2K citations · Full text

Computing, Mathematics, Algorithms +4

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

On the Estimation of Sparse Jacobian Matrices

A. R. Curtis, M. J. D. Powell, John Reid · IMA Journal of Applied Mathematics · 1974 · 416 citations

Computing, Computer Science, Mathematics +14

A Quadratically Convergent Newton-Like Method Based Upon Gaussian Elimination

Kenneth M. Brown · SIAM Journal on Numerical Analysis · 1969 · 178 citations

Computing, Computer Science, Mathematics +17