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A stable, rapidly converging conjugate gradient method for energy minimization

โœ Scribed by Stanley J. Watowich; Eric S. Meyer; Ray Hagstrom; Robert Josephs


Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
908 KB
Volume
9
Category
Article
ISSN
0192-8651

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โœฆ Synopsis


We apply Shanno's conjugate gradient algorithm to the problem of minimizing the potential energy function associated with molecular mechanical calculations. Shanno's algorithm is stable with respect to roundoff errors and inexact line searches and converges rapidly to a minimum. Equally important, this algorithm can improve the rate of convergence to a minimum by a factor of 5 relative to Fletcher-Reeves or Polak-RibiBre minimizers when used within the molecular mechanics package AMBER. Comparable improvements are found for a limited number of simulations when the Polak-RibiBre direction vector is incorporated into the Shanno algorithm.


๐Ÿ“œ SIMILAR VOLUMES


Gradient SHAKE: An improved method for c
โœ Yong Duan; Shankar Kumar; John M. Rosenberg; Peter A. Kollman ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 451 KB

Current macromolecular energy minimization algorithms become inefficient and prone to failure when bond length constraints are imposed. They are required to relieve steric stresses in biomolecules prior to a molecular dynamics simulation. Unfortunately, the latter often require constraints, leading