Global homotopy continuation procedures for seeking all roots of a nonlinear equation

Computers and Chemical Engineering

Volumn 25, Issue 7-8, 2001, Pages 1003-1019

  Gritton, Kenneth S ^a   Seader, J D ^a   Lin, Wen Jing ^a  

^a University of Utah   (United States)

Author keywords

Bifurcation; Complex roots; Continuation; Nonlinear equations

Indexed keywords

CHEMICAL ENGINEERING; PROBLEM SOLVING;

PREDICTOR-CORRECTOR METHODS;

NONLINEAR EQUATIONS;

COMPUTER ANALYSIS;

ARTICLE; CALCULATION; CHEMICAL ENGINEERING; KINETICS; MATHEMATICAL ANALYSIS; METHODOLOGY; NONLINEAR SYSTEM; PARAMETER; TEMPERATURE;

EID: 0035881915     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-1354(01)00675-5     Document Type: Article

References (44)

1. Modification of the interval Newton method with improved asymptotic accuracy
2. Homotopy method of approximating several solutions to nonlinear systems of equations
3. Application of interval Newton's method to chemical engineering problems
4. Chemical reactor stability and sensitivity
5. Unreachable roots for global homotopy continuation methods
6. On a new method of numerically integrating a system of nonlinear equations
7. On the global convergence of path-following methods to determine all solutions to a system of nonlinear equations
8. Solving equations by successive substitution - The problems of divergence and slow convergence
9. Process simulation using continuation method in complex domain
10. Numerical solution of bifurcation and nonlinear eigenvalue problems
11. Global homotopies and Newton methods
12. Zeros of nonlinear functions
13. A new method for global solution of systems of non-linear equations
14. Algorithm 502. Dependence of solution of nonlinear systems on a parameter
15. Computing all real solutions to systems of nonlinear equations with a global fixed-point homotopy
16. Use methode de resolution d'une catagorie d'equations transcendentes
17. Topologie et equations fonctionelles
18. Coefficient parameter polynomial continuation
19. Finding all solutions to polynomial systems using HOMPACK
20. A new method for solving a class of nonlinear equations
21. Mapped continuation methods for computing all solutions to general systems of nonlinear equations
22. Numerical solution of constrained nonlinear algebraic equations
23. An improved memory method for the solution of a nonlinear equation
24. A variable order method for solution of a nonlinear algebraic equation
25. An iteration method with memory for the solution of a nonlinear equation
26. What computer algebra systems can and cannot do
27. 2 maps
28. Algorithm 777: HOMPACK90: A suite of Fortran 90 codes for globally convergent homotopy algorithms
29. Homotopy continuation methods for computer-aided process design
30. Algorithm 801: POLSYS_PLP: A partitioned linear product homotopy code for solving polynomial systems of equations