REMARK ON ALGORITHM-566

We report the development of second-derivative FORTRAN routines to sup plement Algorithm 566 developed by J. More et al. (ACM Trans. Math. So ftw. 7, 14-41, 136-140, 1981). Algorithm 566 provides function and gra dient subroutines of 18 test functions for multivariate minimization. Our supplementary Hessian segments enable users to test optimization s oftware that requires second derivative information. Eigenvalue analys is throughout the minimization is now possible, with the goal of bette r understanding progress by different minimization algorithms and the relation of progress to eigenvalue distribution and condition number.