Title
Remark on Algorithm 566
Abstract
We report the development of second-derivative FORTRAN routines to supplement Algorithm 566 developed by J. More´ et al. (ACM Trans. Math. Softw. 7, 14-41, 136–140, 1981). Algorithm 566 provides function and gradient subroutines of 18 test functions for multivariate minimization. Our supplementary Hessian segments enable users to test optimization software that requires second derivative information. Eigenvalue analysis throughout the minimization is now possible, with the goal of better understanding progress by different minimization algorithms and the relation of progress to eigenvalue distribution and condition number.
Year
DOI
Venue
1994
10.1145/192115.192128
ACM Trans. Math. Softw.
Keywords
Field
DocType
different minimization algorithm,hessian subroutines,acm trans,derivative information,test function,multivariate minimization,gradient subroutine,better understanding progress,optimization software,condition number,eigenvalue analysis
Condition number,Mathematical optimization,Second derivative,Subroutine,Nonlinear programming,Hessian matrix,Algorithm,Fortran,Software,Eigenvalues and eigenvectors,Mathematics
Journal
Volume
Issue
ISSN
20
3
0098-3500
Citations 
PageRank 
References 
2
0.44
2
Authors
3
Name
Order
Citations
PageRank
Victoria Z. Averbukh120.44
Samuel Figueroa220.44
Tamar Schlick325162.71