Oppositely converging Newton–Raphson method for non-linear equilibrium problems
✍ Scribed by Isaac Fried
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 52 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.2574
No coin nor oath required. For personal study only.
✦ Synopsis
Starting with p = 37 as an approximation to its highest root a = 36 we get successively x 1 -36 = 0.184×10 0 , 0.759×10 -2 , 0.137×10 -4 , 0.445×10 -10 , 0.0 x 2 -36 = -0.141×10 0 , -0.732×10 -2 , -0.137×10 -4 , -0.445×10 -10 , 0.0 (x 1 + x 2 )/2-36 = 0.212×10 -1 , 0.135×10 -3 , 0.934×10 -8 , 0.0 (13) REFERENCE 1. Householder AS.
📜 SIMILAR VOLUMES
An inexact Newton algorithm for large sparse equality constrained non-linear programming problems is proposed. This algorithm is based on an indefinitely preconditioned smoothed conjugate gradient method applied to the linear KKT system and uses a simple augmented Lagrangian merit function for Armij