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Volumn 2, Issue , 2003, Pages 1448-1455

Investigating the existence of function roots using particle swarm optimization

Author keywords

[No Author keywords available]

Indexed keywords

ESTIMATION; GEOMETRY; NONLINEAR ANALYSIS; PARTICLE SWARM OPTIMIZATION (PSO); TOPOLOGY;

EID: 3142734341     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CEC.2003.1299841     Document Type: Conference Paper
Times cited : (5)

References (53)
  • 1
    • 84968476142 scopus 로고
    • Computation of topological degree using interval arithmetic, and applications
    • O. Aberth. Computation of topological degree using interval arithmetic, and applications. Math. Comp., 62:171-178, 1994.
    • (1994) Math. Comp. , vol.62 , pp. 171-178
    • Aberth, O.1
  • 2
    • 0036749163 scopus 로고    scopus 로고
    • Optimal design of power system stabilizers using particle swarm optimization
    • M.A. Abido. Optimal design of power system stabilizers using particle swarm optimization. IEEE Trans. Energy Conversion, 17(3):406-413, 2002.
    • (2002) IEEE Trans. Energy Conversion , vol.17 , Issue.3 , pp. 406-413
    • Abido, M.A.1
  • 3
    • 0037186503 scopus 로고    scopus 로고
    • Feature selection for structure-activity correlation using binary particle swarms
    • D.K. Agrafiotis and W. Cedeno. Feature selection for structure-activity correlation using binary particle swarms. Journal of Medicinal Chemistry, 45(5): 10981107, 2002.
    • (2002) Journal of Medicinal Chemistry , vol.45 , Issue.5 , pp. 1098-1107
    • Agrafiotis, D.K.1    Cedeno, W.2
  • 5
    • 38249042830 scopus 로고
    • Complexity of computing topological degree of lipschitz functions in n dimensions
    • T. Boult and K. Sikorski. Complexity of computing topological degree of Lipschitz functions in n dimensions. J. Complexity, 2:44-59, 1986.
    • (1986) J. Complexity , vol.2 , pp. 44-59
    • Boult, T.1    Sikorski, K.2
  • 6
    • 0009575602 scopus 로고
    • An optimal complexity algorithm for computing the topological degree in two dimensions
    • T. Boult and K. Sikorski. An optimal complexity algorithm for computing the topological degree in two dimensions. SIAM J. Sci. Statist. Comput., 10.686-698, 1989.
    • (1989) SIAM J. Sci. Statist. Comput. , vol.10
    • Boult, T.1    Sikorski, K.2
  • 7
    • 0036464756 scopus 로고    scopus 로고
    • The particle swarm- explosion, stability, and convergence in a multidimensional complex space
    • M. Clerc and J. Kennedy. The particle swarm- explosion, stability, and convergence in a multidimensional complex space. IEEE Trans. Evol. Comput., 6(1):58-73, 2001.
    • (2001) IEEE Trans. Evol. Comput. , vol.6 , Issue.1 , pp. 58-73
    • Clerc, M.1    Kennedy, J.2
  • 8
    • 0035126804 scopus 로고    scopus 로고
    • Improving the fermentation medium for echinocandin B production Part II: Particle swarm optimization
    • A.R Cockshott and B.E. Hartman. Improving the fermentation medium for Echinocandin B production part ii: Particle swarm optimization. Process Bio-chemistry, 36:661-669, 2001.
    • (2001) Process Biochemistry , vol.36 , pp. 661-669
    • Cockshott, A.R.1    Hartman, B.E.2
  • 10
    • 0001701368 scopus 로고    scopus 로고
    • Locating and computing all the simple roots and extrema of a function
    • Kavvadias, D.J. and M.N. Vrahatis. Locating and computing all the simple roots and extrema of a function. SIAM Journal on Scientific Computing, 17(5): 12321248, 1996.
    • (1996) SIAM Journal on Scientific Computing , vol.17 , Issue.5 , pp. 12321248
    • Kavvadias, D.J.1    Vrahatis, M.N.2
  • 11
    • 84947807745 scopus 로고    scopus 로고
    • Comparison between genetic algorithms and particle swarm optimization
    • V.W. Porto, N. Saravanan, D. Waagen, and A.E. Eiben, editors, Springer
    • R.C. Eberhart and Y. Shi. Comparison between genetic algorithms and particle swarm optimization. In V.W. Porto, N. Saravanan, D. Waagen, and A.E. Eiben, editors, Evolutionary Programming, volume VII, pages 611-616. Springer, 1998.
    • (1998) Evolutionary Programming , vol.7 , pp. 611-616
    • Eberhart, R.C.1    Shi, Y.2
  • 13
    • 0036589139 scopus 로고    scopus 로고
    • The particle swarm optimization algorithm in size and shape optimization
    • P.C. Fourie and A.A. Groenwold. The particle swarm optimization algorithm in size and shape optimization. Struct. Multidisc. Optim., 23:259-267, 2002.
    • (2002) Struct. Multidisc. Optim. , vol.23 , pp. 259-267
    • Fourie, P.C.1    Groenwold, A.A.2
  • 14
    • 0000963644 scopus 로고
    • An efficient degree-computation method for a generalized method of bisection
    • R.B. Kearfott. An efficient degree-computation method for a generalized method of bisection. Numer. Math., 32:109-127, 1979.
    • (1979) Numer. Math. , vol.32 , pp. 109-127
    • Kearfott, R.B.1
  • 15
    • 0034446065 scopus 로고    scopus 로고
    • Existence verification for singular zeros of complex nonlinear systems
    • R.B. Kearfott, J. Dian, and A. Neumaier. Existence verification for singular zeros of complex nonlinear systems. SIAM J. Numer. Anal, 38:360-379, 2000.
    • (2000) SIAM J. Numer. Anal , vol.38 , pp. 360-379
    • Kearfott, R.B.1    Dian, J.2    Neumaier, A.3
  • 16
    • 37049013963 scopus 로고    scopus 로고
    • The behavior of particles
    • V.W. Porto, N. Saravanan, D. Waagen, and A.E. Eiben, editors, Springer
    • J. Kennedy. The behavior of particles. In V.W. Porto, N. Saravanan, D. Waagen, and A.E. Eiben, editors, Evolutionary Programming, volume VII, pages 581- 590. Springer, 1998.
    • (1998) Evolutionary Programming , vol.7 , pp. 581-590
    • Kennedy, J.1
  • 21
    • 0004081871 scopus 로고
    • Cambridge University Press, Cambridge
    • N.G. Lloyd. Degree Theory. Cambridge University Press, Cambridge, 1978.
    • (1978) Degree Theory
    • Lloyd, N.G.1
  • 22
    • 0036837418 scopus 로고    scopus 로고
    • Analysis of pollutant levels in central Hong Kong applying neural network method with particle swarm optimization
    • W.Z. Lu, H.Y. Fan, A.Y.T. Leung, and J.C.K. Wong. Analysis of pollutant levels in central hong kong applying neural network method with particle swarm optimization. Environmental Monitoring and Assessment, 79:217-230, 2002.
    • (2002) Environmental Monitoring and Assessment , vol.79 , pp. 217-230
    • Lu, W.Z.1    Fan, H.Y.2    Leung, A.Y.T.3    Wong, J.C.K.4
  • 23
    • 0036289713 scopus 로고    scopus 로고
    • On the complexity of isolating real roots and computing with certainty the topological degree
    • B. Mourrain. M.N. Vrahatis, and J.C. Yakoubsohn. On the complexity of isolating real roots and computing with certainty the topological degree. J. Complexity, 18:612-640, 2002.
    • (2002) J. Complexity , vol.18 , pp. 612-640
    • Mourrain, B.1    Vrahatis, M.N.2    Yakoubsohn, J.C.3
  • 25
    • 0037114409 scopus 로고    scopus 로고
    • The use of particle swarm optimization for dynamical analysis in chemical processes
    • C.O. Ourique, E.C. Biscaia, and J. Carlos Pinto. The use of particle swarm optimization for dynamical analysis in chemical processes. Computers and Chemical Engineering, 26:1783-1793, 2002.
    • (2002) Computers and Chemical Engineering , vol.26 , pp. 1783-1793
    • Ourique, C.O.1    Biscaia, E.C.2    Pinto, J.C.3
  • 29
    • 3142774232 scopus 로고    scopus 로고
    • Initializing the particle swarm optimizer using the nonlinear simplex method
    • A. Grmela and N.E. Mastorakis, editors, WSEAS Press
    • K.E. Parsopoulos and M.N. Vrahatis. Initializing the particle swarm optimizer using the nonlinear simplex method. In A. Grmela and N.E. Mastorakis, editors, Advances in Intelligent Systems, Fuzzy Systems, Evolutionary Computation, pages 216-221. WSEAS Press, 2002.
    • (2002) Advances in Intelligent Systems, Fuzzy Systems, Evolutionary Computation , pp. 216-221
    • Parsopoulos, K.E.1    Vrahatis, M.N.2
  • 30
    • 3042711032 scopus 로고    scopus 로고
    • Particle swarm optimization method for constrained optimization problems
    • P. Sincak, J. Vascak, V. Kvasnicka, and J. Pospichal, editors, volume 76 of Frontiers in Artificial Intelligence and Applications, IOS Press
    • K.E. Parsopoulos and M.N. Vrahatis. Particle swarm optimization method for constrained optimization problems. In P. Sincak, J. Vascak, V. Kvasnicka, and J. Pospichal, editors, Intelligent Technologies-Theory and Application: New Trends in Intelligent Technologies, volume 76 of Frontiers in Artificial Intelligence and Applications, pages 214-220. IOS Press, 2002.
    • (2002) Intelligent Technologies-Theory and Application: New Trends in Intelligent Technologies , pp. 214-220
    • Parsopoulos, K.E.1    Vrahatis, M.N.2
  • 31
    • 0344291226 scopus 로고    scopus 로고
    • Recent approaches to global optimization problems through particle swarm optimization
    • K.E. Parsopoulos and M.N. Vrahatis. Recent ap-proaches to global optimization problems through particle swarm optimization. Natural Computing, 1(2- 3):235-306, 2002.
    • (2002) Natural Computing , vol.1 , Issue.2-3 , pp. 235-306
    • Parsopoulos, K.E.1    Vrahatis, M.N.2
  • 32
    • 84942092247 scopus 로고    scopus 로고
    • Computing periodic orbits of nondifferentiable/discontinuous mappings through particle swarm optimization
    • Indianapolis (IN), USA
    • K.E. Parsopoulos and M.N. Vrahatis. Computing periodic orbits of nondifferentiable/discontinuous mappings through particle swarm optimization. In Proceedings of the IEEE Swarm Intelligence Symposium, pages 34-41, Indianapolis (IN), USA, 2003.
    • (2003) Proceedings of the IEEE Swarm Intelligence Symposium , pp. 34-41
    • Parsopoulos, K.E.1    Vrahatis, M.N.2
  • 33
    • 0002536918 scopus 로고
    • Sur le nombre des racines communes a plusieurs equations simultances
    • 4e serie
    • E. Picard, Sur le nombre des racines communes a plusieurs equations simultances. Journ. de Math. Pure et Appl. (4e serie), 8:5-24, 1892.
    • (1892) Journ. de Math. Pure et Appl. , vol.8 , pp. 5-24
    • Picard, E.1
  • 35
    • 0036522301 scopus 로고    scopus 로고
    • A swarm metaphor for multi- objective design optimization
    • T. Ray and K.M. Liew. A swarm metaphor for multi- objective design optimization. Engineering Optimization, 34(2): 141-153, 2002.
    • (2002) Engineering Optimization , vol.34 , Issue.2 , pp. 141-153
    • Ray, T.1    Liew, K.M.2
  • 38
    • 84879015433 scopus 로고    scopus 로고
    • Parameter selection in particle swarm optimization
    • V.W. Porto, N. Sara- vanan, D. Waagen, and A.E. Eiben, editors, Springer
    • Y. Shi and R.C. Eberhart. Parameter selection in particle swarm optimization. In V.W. Porto, N. Sara- vanan, D. Waagen, and A.E. Eiben, editors, Evolutionary Programming, volume VII, pages 591-600. Springer, 1998.
    • (1998) Evolutionary Programming , vol.7 , pp. 591-600
    • Shi, Y.1    Eberhart, R.C.2
  • 40
    • 0002123713 scopus 로고
    • Computing the topological degree of a mapping in R
    • F. Stenger. Computing the topological degree of a mapping in R. Numer. Math., 25:23-38, 1975.
    • (1975) Numer. Math. , vol.25 , pp. 23-38
    • Stenger, F.1
  • 41
    • 84963178282 scopus 로고
    • An algorithm for numerical calculation of topological degree
    • M. Stynes. An algorithm for numerical calculation of topological degree. Appl. Anal., 9:63-77, 1979.
    • (1979) Appl. Anal. , vol.9 , pp. 63-77
    • Stynes, M.1
  • 42
    • 0009648810 scopus 로고
    • A simplification of stenger's topological degree formula
    • M. Stynes. A simplification of stenger's topological degree formula. Numer. Math., 33:147-156, 1979.
    • (1979) Numer. Math. , vol.33 , pp. 147-156
    • Stynes, M.1
  • 43
    • 0009648660 scopus 로고
    • On the construction of sufficient refinements for computation of topological degree
    • M. Stynes. On the construction of sufficient refinements for computation of topological degree. Numer. Math., 37:453-462, 1981.
    • (1981) Numer. Math. , vol.37 , pp. 453-462
    • Stynes, M.1
  • 45
    • 0037475094 scopus 로고    scopus 로고
    • The particle swarm optimization algorithm: Convergence analysis and parameter selection
    • I.C. Trelea. The particle swarm optimization algorithm: Convergence analysis and parameter selection. Information Processing Letters, 85:317-325, 2003.
    • (2003) Information Processing Letters , vol.85 , pp. 317-325
    • Trelea, I.C.1
  • 46
    • 0024141611 scopus 로고
    • Solving systems of nonlinear equations using the nonzero value of the topological degree
    • M.N. Vrahatis. Solving systems of nonlinear equations using the nonzero value of the topological degree. ACM Trans. Math. Software, 14:312-329, 1988.
    • (1988) ACM Trans. Math. Software , vol.14 , pp. 312-329
    • Vrahatis, M.N.1
  • 47
    • 84966214356 scopus 로고
    • A short proof and a generalization of Miranda's existence theorem
    • M.N. Vrahatis. A short proof and a generalization of Miranda's existence theorem. Proc. Amer. Math. Soc., 107:701-703, 1989.
    • (1989) Proc. Amer. Math. Soc. , vol.107 , pp. 701-703
    • Vrahatis, M.N.1
  • 48
    • 0000904309 scopus 로고
    • An efficient method for locating and computing periodic orbits of nonlinear mappings
    • M.N. Vrahatis. An efficient method for locating and computing periodic orbits of nonlinear mappings. J. Comp. Phys., 119:105-119, 1995.
    • (1995) J. Comp. Phys. , vol.119 , pp. 105-119
    • Vrahatis, M.N.1
  • 49
    • 0030207758 scopus 로고    scopus 로고
    • Periodic orbits and invariant surfaces of 4-D nonlinear mappings
    • M.N. Vrahatis, T.C. Bountis, and M. Kollmann. Periodic orbits and invariant surfaces of 4-D nonlinear mappings. Inter. J. Bifiire. Chaos, 6:1425-1437, 1996.
    • (1996) Inter. J. Bifiire. Chaos , vol.6 , pp. 1425-1437
    • Vrahatis, M.N.1    Bountis, T.C.2    Kollmann, M.3
  • 50
    • 0002592135 scopus 로고
    • A rapid generalized method of bisection for solving systems of non-linear equations
    • M.N. Vrahatis and K.I. lordanidis. A rapid generalized method of bisection for solving systems of non-linear equations. Numer. Math., 49:123-138, 1986.
    • (1986) Numer. Math. , vol.49 , pp. 123-138
    • Vrahatis, M.N.1    Lordanidis, K.I.2
  • 51
    • 0031537156 scopus 로고    scopus 로고
    • Structure and breakdown of invariant Tori in a 4-d mapping model of accelerator dynamics
    • M.N. Vrahatis, H. Isliker, and T.C. Bountis. Structure and breakdown of invariant tori in a 4-D mapping model of accelerator dynamics. Inter. J. Bifurc. Chaos, 7:2707-2722, 1997.
    • (1997) Inter. J. Bifurc. Chaos , vol.7 , pp. 2707-2722
    • Vrahatis, M.N.1    Isliker, H.2    Bountis, T.C.3
  • 52
    • 0030622779 scopus 로고    scopus 로고
    • The topological degree theory for the localization and computation of complex zeros of bessel functions
    • M.N. Vrahatis, O. Ragos, T. Skiniotis, F.A. Zafiropoulos, and T.N. Grapsa. The topological degree theory for the localization and computation of complex zeros of Bessel functions. Numer. Funct. Anal. Optimiz., 18:227-234, 1997.
    • (1997) Numer. Funct. Anal. Optimiz. , vol.18 , pp. 227-234
    • Vrahatis, M.N.1    Ragos, O.2    Skiniotis, T.3    Zafiropoulos, F.A.4    Grapsa, T.N.5
  • 53
    • 0000513492 scopus 로고    scopus 로고
    • Computing the topological degree with noisy functions
    • M. Yokoyama. Computing the topological degree with noisy functions. J. Complexity, 13:272-278, 1997.
    • (1997) J. Complexity , vol.13 , pp. 272-278
    • Yokoyama, M.1


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