The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate

Foundations of Modern Analysis

1969 • 3,571 citations

Generalized Inverse of Matrices and Its Applications

1972 • 791 citations

Perturbation bounds in connection with singular value decomposition

1972 • 496 citations

A Newton-Raphson method for the solution of systems of equations

1966 • 332 citations

Comparison of Gradient Methods for the Solution of Nonlinear Parameter Estimation Problems

1970 • 262 citations

The least squares problem and pseudo-inverses

1970 • 249 citations

On the Continuity of the Generalized Inverse

1969 • 219 citations

The Approximate Minimization of Functionals

1972 • 178 citations

Extensions and applications of the Householder algorithm for solving linear least squares problems

1969 • 145 citations

Elimination of Linear Parameters in Nonlinear Regression

1971 • 143 citations

MATRIX DECOMPOSITIONS AND STATISTICAL CALCULATIONS††This work was in part supported by the National Science Foundation and Office of Naval Research.

1969 • 130 citations

Some Special Nonlinear Least Squares Problems

1975 • 118 citations

Note on the iterative refinement of least squares solution

1966 • 108 citations

Numerical computations for univariate linear models

1973 • 63 citations

A Class of Methods for Nonlinear Programming II Computational Experience

1970 • 61 citations

Iterative refinements of linear least squares solutions by Householder transformations

1968 • 46 citations

Iterative Methods for Solving Nonlinear Least Squares Problems

1967 • 45 citations

Algorithms for finding zeros and extrema of functions without calculating derivatives

1971 • 40 citations

Least Squares Estimation for a Class of Non-Linear Models

1973 • 31 citations

Computing Best lp Approximations by Functions Nonlinear in One Parameter

1970 • 24 citations

Stability of general systems of linear equations

1969 • 15 citations

On the derivative of the generalized inverse of a matrix

1974 • 8 citations