Methods for optimal engineering design problems based on globally convergent methods

Quasi-Newton Methods, Motivation and Theory

1977 • 1,480 citations

Computer solution of ordinary differential equations : the initial value problem

1975 • 1,324 citations

Finding zeroes of maps: homotopy methods that are constructive with probability one

1978 • 370 citations

A globally convergent algorithm for computing fixed points of C2 maps

1979 • 160 citations

On the Estimation of Sparse Hessian Matrices

1979 • 149 citations

On sparse and symmetric matrix updating subject to a linear equation

1977 • 130 citations

Solving the Nonlinear Complementarity Problem by a Homotopy Method

1979 • 122 citations

An Algorithm That is Globally Convergent with Probability One for a Class of Nonlinear Two-Point Boundary Value Problems

1979 • 84 citations

Some numerical results using a sparse matrix updating formula in unconstrained optimization

1978 • 71 citations

Algorithm 555: Chow-Yorke Algorithm for Fixed Points or Zeros of C ² Maps [C5]

1980 • 60 citations

Fluid Dynamics of the Elliptic Porous Slider

1978 • 42 citations

On the Superlinear Convergence of an Algorithm for Solving a Sparse Minimization Problem

1979 • 36 citations

Optimal design by a homotopy method

1980 • 25 citations