Title
Novel Algorithms Solving Nonlinear Equation In Very Large Scope
Abstract
Two new algorithms used in large-scope solution are put forward to solve nonlinear equations which were not solved by some traditional methods. The initial value was arbitrarily chosen in very large scope. The convergence theorem of the algorithm was presented and proved. The computation is carried out by simple steepest descent rule without evaluation of the derivative evaluation of f. Thus, computation time is saved. The specific examples showed that the proposed method can choose the initial value in very large scope, without the derivative evaluation, and less computation with high precision and rapid convergence.
Year
DOI
Venue
2010
10.4304/jcp.5.4.606-613
JOURNAL OF COMPUTERS
Keywords
Field
DocType
nonlinear equations, algorithms, convergence, steepest descent rule, high precision, examples
Convergence (routing),Gradient descent,Nonlinear system,Computer science,Algorithm,Rapid convergence,Initial value problem,Computation
Journal
Volume
Issue
ISSN
5
4
1796-203X
Citations 
PageRank 
References 
0
0.34
3
Authors
3
Name
Order
Citations
PageRank
Zhe-zhao Zeng164.07
Dongmei Lin2183.98
Lulu Zheng381.18