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Solving Non-linear Equations via Genetic Algorithms

by Nikos E. Mastorakis - Proceedings of the 6th WSEAS Conference on Evolutionary Computing
"... Abstract:- In this paper, a method for solving non-linear equations via GA (Genetic Algorithms) is presented. The method is extended for systems of non – linear equations. The method is compared with a previous one in the literature and it is found that the present one is better. Directions for futu ..."
Abstract - Cited by 5 (3 self) - Add to MetaCart
Abstract:- In this paper, a method for solving non-linear equations via GA (Genetic Algorithms) is presented. The method is extended for systems of non – linear equations. The method is compared with a previous one in the literature and it is found that the present one is better. Directions

Theta functions and non-linear equations

by B. A. Dubrovin , 1981
"... ..."
Abstract - Cited by 64 (0 self) - Add to MetaCart
Abstract not found

Why polyhedra matter in non-linear equation solving

by J. Maurice Rojas , 2003
"... We give an elementary introduction to some recent polyhedral techniques for understanding and solving systems of multivariate polynomial equations. We provide numerous concrete examples and illustrations, and assume no background in algebraic geometry or convex geometry. Highlights include the fol ..."
Abstract - Cited by 16 (5 self) - Add to MetaCart
We give an elementary introduction to some recent polyhedral techniques for understanding and solving systems of multivariate polynomial equations. We provide numerous concrete examples and illustrations, and assume no background in algebraic geometry or convex geometry. Highlights include

A non-linear equation from photopolymerization kinetics

by M. L. Glasser , 2006
"... In a medium where a photoreactive species produces N equally photoreactive radicals, by combining the Lambert-Beer law for the decay of light intensity, as a beam propagates into the medium, with the kinetic equation, one obtains a generalization of the Wegscheider equation from photobleaching theor ..."
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In a medium where a photoreactive species produces N equally photoreactive radicals, by combining the Lambert-Beer law for the decay of light intensity, as a beam propagates into the medium, with the kinetic equation, one obtains a generalization of the Wegscheider equation from photobleaching

Partial Legendre transforms of non-linear equations

by Pengfei Guan, D. H. Phong - Proc. Amer. Math. Soc
"... ar ..."
Abstract - Cited by 2 (0 self) - Add to MetaCart
Abstract not found

A Weighted Simplex Procedure for the Solution of Simultaneous Non-Linear Equations

by W. L. Price , 1978
"... The Weighted Simplex procedure, a version of the secant algorithm, provides an alternative to the Newton-Raphson procedure in the solution of a set of non-linear equations. The results of trials show that, given a sufficiently good initial approximation to a solution, the two procedures converge wit ..."
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The Weighted Simplex procedure, a version of the secant algorithm, provides an alternative to the Newton-Raphson procedure in the solution of a set of non-linear equations. The results of trials show that, given a sufficiently good initial approximation to a solution, the two procedures converge

Solution of simultaneous non-linear equations using genetic algorithms

by Angel Fernando Kuri-morales, Autónomo México - WSEAS Transactions on Systems
"... Abstract. The solution of Systems of Simultaneous Non-Linear Equations (SNLE) remains a complex and as yet not closed problem. Although analytical methods to tackle such problems do exist, they are limited in scope and, in general, demand certain prior knowledge of the functions under study. In this ..."
Abstract - Cited by 2 (0 self) - Add to MetaCart
Abstract. The solution of Systems of Simultaneous Non-Linear Equations (SNLE) remains a complex and as yet not closed problem. Although analytical methods to tackle such problems do exist, they are limited in scope and, in general, demand certain prior knowledge of the functions under study

Partial Inverse Heuristic for the Approximate Solution of Non-Linear Equations

by Gaston H. Gonnet, Allan Bonadio
"... We show how to generate many fix-point iterators of the form x i+1 = F (x i ) which could solve a given non-linear equation. In particular, these iterators tend to have good global convergence, and we show examples whereby obscure solutions can be discovered. Also, a systematic method for finding m ..."
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We show how to generate many fix-point iterators of the form x i+1 = F (x i ) which could solve a given non-linear equation. In particular, these iterators tend to have good global convergence, and we show examples whereby obscure solutions can be discovered. Also, a systematic method for finding

BASED THREE-STEP ITERATIVE METHODS FOR NON-LINEAR EQUATIONS

by Sanjay Khattri
"... Abstract. The recent paper [H. Ding, Y. Zhang, S. Wang, X. Yang, A note on some quadrature based three-step iterative methods for non-linear equations, Appl. Math. Comput. 215(1): (2009) 53–57] shows that the Algorithm 2.2 and Algorithm 2.3 in the article [N.A. Mir, T. Zaman, Some quadrature based t ..."
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Abstract. The recent paper [H. Ding, Y. Zhang, S. Wang, X. Yang, A note on some quadrature based three-step iterative methods for non-linear equations, Appl. Math. Comput. 215(1): (2009) 53–57] shows that the Algorithm 2.2 and Algorithm 2.3 in the article [N.A. Mir, T. Zaman, Some quadrature based

NON-LINEAR EQUATION OF STATE,COSMIC ACCELERATION AND DECELERATION DURING

by S. K. Srivastava, J. Dutta , 708
"... Here, RS-II model of brane-gravity is considered for phantom universe using non-linear equation of state. Phantom fluid is known to violate the weak energy condition. In this paper, it is found that this characteristic of phantom energy is affected drastically by the negative brane-tension λ of the ..."
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Here, RS-II model of brane-gravity is considered for phantom universe using non-linear equation of state. Phantom fluid is known to violate the weak energy condition. In this paper, it is found that this characteristic of phantom energy is affected drastically by the negative brane-tension λ
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