A new method for solving a system of the nonlinear equations

Applied Mathematics and Computation

Volumn 168, Issue 2, 2005, Pages 877-894

  Effati, S ^a   Nazemi, A R ^a  

^a Teacher Training University of Sabzevar   (Iran)

Author keywords

Measure theory; Nonlinear equations system; Nonlinear programming; Optimal control

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; MEASUREMENT THEORY; NONLINEAR PROGRAMMING; OPTIMAL CONTROL SYSTEMS;

FINITE-DIMENSIONAL NONLINEAR PROGRAMMING; MEASURE THEORY; NONLINEAR EQUATIONS SYSTEMS; OPTIMAL CONTROL;

NONLINEAR EQUATIONS;

EID: 26044448330     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.09.029     Document Type: Article

References (22)

1. M.S. Bazaraa, John J. Jarvis, and H.D. Sherali Linear Programming and Network Flows 1992 John Wiley and Sons New York
2. M.S. Bazaraa, H.D. Sherali, and C.M. Shetty Non-linear Programming Theory and Algorithms 1993 John Wiley and Sons New York
3. A. Cuyt, and P. Van der Cruyssen Abstract Pade approximants for the solution of a system of nonlinear equations Comput. Math. Appl. 9 1983 139 149
4. G. Choquet Lectures on Analysis 1969 Benjamin New York
5. S. Effati, and A.V. Kamyad Solution of boundary value problems for linear second order ODE's by using measure theory J. Anal. 6 1998 139 149
6. S. Effati, A.V. Kamyad, and R.A. Kamyabi-Gol On infinite-horizon optimal control problems J. Z. Anal. Anw. 19 2000 269 278
7. S. Effati, A.V. Kamyad, and M.H. Farahi A new method for solving the nonlinear second order boundary value differential equations Korean J. Comput. Appl. Math. 7 2000 183 193
8. A. Fakharzadeh, and J.E. Rubio Shapes and measures Ima. J. Math. Control Informat. 16 1999 207 220
9. A. Fakharzadeh, and J.E. Rubio Global solution of optimal shape design problems J. Z. Anal. Anw. 18 1999 143 155
10. M.H. Farahi, J.E. Rubio, and D.A. Wilson The optimal control of the linear wave equation Int. J. Control 63 1995 833 848
11. B.S. Goh, Algorithms for Unconstrained Optimization Problems Via Theory, Jota, March 1997.
12. W. Gragg, and G. Stewart A stable variant of the secant method for solving nonlinear equations SIAM J. Numer. Anal. 13 1976 889 903
13. A. Heydary, A.V. Kamyad, and M.H. Farahi On the existence and numerical estimation of the minimum integral functionals J. Inst. Math. Comput. Sci. 12 1999
14. A.V. Kamyad, J.E. Rubio, and D.A. Wilson Optimal control of multidimensional diffusion equation J. Optim. Theory Appl. 70 1991 191 209
15. A.V. Kamyad, J.E. Rubio, and D.A. Wilson Optimal control of multidimensional diffusion equation with a generalized control variable J. Optim. Theory Appl. 75 1992 101 132
16. D.G. Luenberger Introduction to Linear and Nonlinear Programming first ed. 1973 Addison-Wesley Reading, MA
17. J. Ortega, and W. Rheinboldt Iterative Solution of Nonlinear Equations in Several Variables 1970 Academic Press New York
18. S.S. Rao Optimization Theory and Application 1979 John Wiley and Sons New York
19. J.E. Rubio Control and Optimization; the Linear Treatment of Non-Linear Problems 1986 Manchester University Press Manchester, UK
20. J.E. Rubio The global control of nonlinear elliptic equations J. Franklin Inst. 330 1993 29 35
21. W. Rudin Real and Complex Analysis 1966 Math. Univ. Wisconsin Madison, USA
22. F. Treves Topological Vector Spaces, Distributions and Kernels 1967 Academic Press New York and London