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Volumn 16, Issue 8, 2004, Pages 1721-1762

A neural root finder of polynomials based on root moments

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EID: 3042584634     PISSN: 08997667     EISSN: None     Source Type: Journal    
DOI: 10.1162/089976604774201668     Document Type: Article
Times cited : (108)

References (23)
  • 3
    • 0012652121 scopus 로고
    • Separation of twodimensional polynomials via a Σ - ∏ neural net
    • Pittsburg, PA: International Society of Modeling and Simulation
    • Hormis, R., Antonion, G., & Mentzelopoulou, S. (1995). Separation of twodimensional polynomials via a Σ - ∏ neural net. In Proceedings of International Conference on Modelling and Simulation (pp. 304-306). Pittsburg, PA: International Society of Modeling and Simulation.
    • (1995) Proceedings of International Conference on Modelling and Simulation , pp. 304-306
    • Hormis, R.1    Antonion, G.2    Mentzelopoulou, S.3
  • 4
    • 0033710581 scopus 로고    scopus 로고
    • FFT-based fast polynomial rooting
    • Istanbul: IEEE
    • Hoteit, L. (2000). FFT-based fast polynomial rooting. In Proceedings of ICASSP '2000, 6 (pp. 3315-3318). Istanbul: IEEE.
    • (2000) Proceedings of ICASSP '2000 , vol.6 , pp. 3315-3318
    • Hoteit, L.1
  • 5
    • 0038324677 scopus 로고    scopus 로고
    • Finding roots of polynomials based on root moments
    • Shanghai, China: Publishing House of Electronic Industry
    • Huang, D. S. (2001). Finding roots of polynomials based on root moments. In 8th Int. Conf. on Neural Information Processing (ICONIP), 3, 1565-1571. Shanghai, China: Publishing House of Electronic Industry.
    • (2001) 8th Int. Conf. on Neural Information Processing (ICONIP) , vol.3 , pp. 1565-1571
    • Huang, D.S.1
  • 6
    • 0038662213 scopus 로고    scopus 로고
    • Revisit to constrained learning algorithm
    • Shanghai, China: Publishing House of Electronic Industry
    • Huang, D. S. (2001). Revisit to constrained learning algorithm. In The 8th International Conference on Neural Information Processing (ICONIP) (Vol. I, pp. 459-464). Shanghai, China: Publishing House of Electronic Industry.
    • (2001) The 8th International Conference on Neural Information Processing (ICONIP) , vol.1 , pp. 459-464
    • Huang, D.S.1
  • 7
    • 2442503670 scopus 로고    scopus 로고
    • A constructive approach for finding arbitrary roots of polynomials by neural networks
    • Huang, D. S. (2004). A constructive approach for finding arbitrary roots of polynomials by neural networks. IEEE Trans on Neural Networks, Vol. 15, No. 2, pp. 477-491.
    • (2004) IEEE Trans on Neural Networks , vol.15 , Issue.2 , pp. 477-491
    • Huang, D.S.1
  • 8
    • 0038663313 scopus 로고    scopus 로고
    • Neural networks with problem decomposition for finding real roots of polynomials
    • Washington, DC: IEEE
    • Huang, D. S., & Chi, Z. (2001). Neural networks with problem decomposition for finding real roots of polynomials. In 2001 Int. Joint Conf. on Neural Networks (IJCNN2001). Washington, DC: IEEE.
    • (2001) 2001 Int. Joint Conf. on Neural Networks (IJCNN2001)
    • Huang, D.S.1    Chi, Z.2
  • 10
    • 0037474728 scopus 로고    scopus 로고
    • Dilation method for finding close roots of polynomials based on constrained learning neural networks
    • Huang, D. S., Ip, H., Chi, Z., & Wong, H. S. (2003), Dilation method for finding close roots of polynomials based on constrained learning neural networks. Physics Letters A, 309, 443-451.
    • (2003) Physics Letters A , vol.309 , pp. 443-451
    • Huang, D.S.1    Ip, H.2    Chi, Z.3    Wong, H.S.4
  • 12
    • 0029403658 scopus 로고
    • An efficient constrained training algorithm for feedforward networks
    • Karras, D. A., & Perantonis, S. J. (1995). An efficient constrained training algorithm for feedforward networks. IEEE Trans. Neural Networks, 6, 1420-1434.
    • (1995) IEEE Trans. Neural Networks , vol.6 , pp. 1420-1434
    • Karras, D.A.1    Perantonis, S.J.2
  • 14
    • 0023011965 scopus 로고
    • On computational efficiency of the iterative methods for the simultaneous approximation of polynomial zeros
    • Milovanovic, G. V., & Petkovic, M. S. (1986). On computational efficiency of the iterative methods for the simultaneous approximation of polynomial zeros. ACM Transactions on Mathematical Software, 12, 295-306.
    • (1986) ACM Transactions on Mathematical Software , vol.12 , pp. 295-306
    • Milovanovic, G.V.1    Petkovic, M.S.2
  • 15
    • 0037610076 scopus 로고    scopus 로고
    • Accelerated solution of multivariate polynomial systems of equations
    • Mourrain, B., Pan, V. Y, & Ruatta, O. (2003). Accelerated solution of multivariate polynomial systems of equations. SIAM J. Comput., 32, 435-454.
    • (2003) SIAM J. Comput. , vol.32 , pp. 435-454
    • Mourrain, B.1    Pan, V.Y.2    Ruatta, O.3
  • 16
    • 0031990532 scopus 로고    scopus 로고
    • Constrained learning in neural networks: Application to stable factorization of 2-D polynomials
    • Perantonis, S. J., Ampazis, N., Varoufakis, S., & Antoniou, G. (1998). Constrained learning in neural networks: Application to stable factorization of 2-D polynomials. Neural Processing Letters, 7, 5-14.
    • (1998) Neural Processing Letters , vol.7 , pp. 5-14
    • Perantonis, S.J.1    Ampazis, N.2    Varoufakis, S.3    Antoniou, G.4
  • 17
    • 0017455845 scopus 로고
    • A study of techniques for finding the zeros of linear phase FIR digital filters
    • Schmidt, C. E., & Rabiner, L. R. (1977). A study of techniques for finding the zeros of linear phase FIR digital filters. IEEE Trans. Acoust., Speech Signal Processing, 25,96-98.
    • (1977) IEEE Trans. Acoust., Speech Signal Processing , vol.25 , pp. 96-98
    • Schmidt, C.E.1    Rabiner, L.R.2
  • 18
    • 0032136235 scopus 로고    scopus 로고
    • Root moments: A digital signal-processing perspective
    • Stathaki, T. (1998). Root moments: A digital signal-processing perspective. IEEE Proc. Vis. Image Signal Processing, 145, 293-302.
    • (1998) IEEE Proc. Vis. Image Signal Processing , vol.145 , pp. 293-302
    • Stathaki, T.1
  • 22
    • 0031069322 scopus 로고    scopus 로고
    • Algorithm for speech model root location
    • Thomas, B., Arani, F., & Honary, B. (1997). Algorithm for speech model root location. Electronics Letters, 33, 355-356.
    • (1997) Electronics Letters , vol.33 , pp. 355-356
    • Thomas, B.1    Arani, F.2    Honary, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.