메뉴 건너뛰기




Volumn 15, Issue 2, 2004, Pages 477-491

A constructive approach for finding arbitrary roots of polynomials by neural networks

Author keywords

Adaptive learning parameters; Computational complexity; Constrained learning; Multilayer perceptron networks; Polynomials; Recursive; Root moment; Roots

Indexed keywords

BACKPROPAGATION; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; CRYPTOGRAPHY; DECODING; LEARNING ALGORITHMS; LEARNING SYSTEMS; LINEAR EQUATIONS; POLYNOMIALS; ROOT LOCI;

EID: 2442503670     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2004.824424     Document Type: Article
Times cited : (184)

References (32)
  • 1
    • 0029346766 scopus 로고
    • Stable computation of the complex roots of unity
    • July
    • S. R. Tate, "Stable computation of the complex roots of unity," IEEE Trans. Signal Processing, vol. 43, pp. 1709-1711, July 1995.
    • (1995) IEEE Trans. Signal Processing , vol.43 , pp. 1709-1711
    • Tate, S.R.1
  • 2
    • 0032266417 scopus 로고    scopus 로고
    • Method for finding roots of quartic equation with application to RS codes
    • F. Y. Yan and C. C. Ko, "Method for finding roots of quartic equation with application to RS codes," Electron. Lett., vol. 34, pp. 2399-2400, 1998.
    • (1998) Electron. Lett. , vol.34 , pp. 2399-2400
    • Yan, F.Y.1    Ko, C.C.2
  • 3
    • 0030215040 scopus 로고    scopus 로고
    • Finding roots of polynomials by using the Routh array
    • T. N. Lucas, "Finding roots of polynomials by using the Routh array," Electron. Lett., vol. 32, pp. 1519-1521, 1996.
    • (1996) Electron. Lett. , vol.32 , pp. 1519-1521
    • Lucas, T.N.1
  • 5
    • 0017455845 scopus 로고
    • A study of techniques for finding the zeros of linear phase FIR digital filters
    • Feb.
    • C. E. Schmidt and L. R. Rabiner, "A study of techniques for finding the zeros of linear phase FIR digital filters," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-25, pp. 96-98, Feb. 1977.
    • (1977) IEEE Trans. Acoust., Speech, Signal Processing , vol.ASSP-25 , pp. 96-98
    • Schmidt, C.E.1    Rabiner, L.R.2
  • 7
    • 0031069322 scopus 로고    scopus 로고
    • Algorithm for speech model root location
    • B. Thomas, F. Arani, and B. Honary, "Algorithm for speech model root location," Electron. Lett., vol. 33, pp. 355-356, 1997.
    • (1997) Electron. Lett. , vol.33 , pp. 355-356
    • Thomas, B.1    Arani, F.2    Honary, B.3
  • 8
    • 0026106872 scopus 로고
    • Adaptive polynomial factorization by coefficient matching
    • Feb.
    • D. Starer and A. Nehorai, "Adaptive polynomial factorization by coefficient matching," IEEE Trans. Signal Processing, vol. 39, pp. 527-530, Feb. 1991.
    • (1991) IEEE Trans. Signal Processing , vol.39 , pp. 527-530
    • Starer, D.1    Nehorai, A.2
  • 14
    • 0029051931 scopus 로고
    • An efficient constrained learning algorithm with momentum acceleration
    • S. J. Perantonis and D. A. Karras, "An efficient constrained learning algorithm with momentum acceleration," Neural Networks, vol. 6, pp. 237-249, 1995.
    • (1995) Neural Networks , vol.6 , pp. 237-249
    • Perantonis, S.J.1    Karras, D.A.2
  • 15
    • 0029403658 scopus 로고
    • An efficient constrained training algorithm for feedfoward networks
    • Nov.
    • D. A. Karras and S. J. Perantonis, "An efficient constrained training algorithm for feedfoward networks," IEEE Trans. Neural Networks, vol. 6, pp. 1420-1434, Nov. 1995.
    • (1995) IEEE Trans. Neural Networks , vol.6 , pp. 1420-1434
    • Karras, D.A.1    Perantonis, S.J.2
  • 16
    • 0031990532 scopus 로고    scopus 로고
    • Constrained learning in neural networks: Application to stable factorization of 2-D polynomials
    • S. J. Perantonis, N. Ampazis, S. Varoufakis, and G. Antoniou, "Constrained learning in neural networks: Application to stable factorization of 2-D Polynomials," Neural Processing Lett., vol. 7, pp. 5-14, 1998.
    • (1998) Neural Processing Lett. , vol.7 , pp. 5-14
    • Perantonis, S.J.1    Ampazis, N.2    Varoufakis, S.3    Antoniou, G.4
  • 18
    • 85032752004 scopus 로고
    • Progress in supervised neural networks
    • Jan.
    • D. R. Hush and B. G. Horne, "Progress in supervised neural networks," IEEE Signal Processing Mag., vol. 10, pp. 8-39, Jan. 1993.
    • (1993) IEEE Signal Processing Mag. , vol.10 , pp. 8-39
    • Hush, D.R.1    Horne, B.G.2
  • 19
    • 0032712063 scopus 로고    scopus 로고
    • Linear and nonlinear feedforward neural network classifiers: A comprehensive understanding
    • D. S. Huang and S. D. Ma, "Linear and nonlinear feedforward neural network classifiers: A comprehensive understanding," J. Intelligent Syst., vol. 9, pp. 1-38, 1999.
    • (1999) J. Intelligent Syst. , vol.9 , pp. 1-38
    • Huang, D.S.1    Ma, S.D.2
  • 27
    • 0004167530 scopus 로고
    • Publ. House High Educat., Beijing, China; D. Z. Fang, in Chinese
    • Handbook of Mathematics, Publ. House High Educat., Beijing, China, 1979, pp. 87-116. D. Z. Fang, in Chinese.
    • (1979) Handbook of Mathematics , pp. 87-116
  • 29
    • 0037474728 scopus 로고    scopus 로고
    • Dilation method for finding close roots of polynomials based on constrained learning neural networks
    • D. S. Huang, H. H. S. Ip, Z. Chi, and H. S. Wong, "Dilation method for finding close roots of polynomials based on constrained learning neural networks," Phys. Lett. A, vol. 309, pp. 443-451, 2003.
    • (2003) Phys. Lett. A , vol.309 , pp. 443-451
    • Huang, D.S.1    Ip, H.H.S.2    Chi, Z.3    Wong, H.S.4
  • 31
    • 0001379317 scopus 로고
    • Error surfaces for multilayer perceptrons
    • Sep./Oct.
    • D. R. Hush, B. Horne, and J. M. Salas, "Error surfaces for multilayer perceptrons," IEEE Trans. Syst., Man, Cybern., vol. 22, pp. 1152-1161, Sep./Oct. 1992.
    • (1992) IEEE Trans. Syst., Man, Cybern. , vol.22 , pp. 1152-1161
    • Hush, D.R.1    Horne, B.2    Salas, J.M.3
  • 32
    • 85024508370 scopus 로고
    • A steepest-ascent method for solving optimum programming problems
    • A. E. Bryson and W. F. Denham, "A steepest-ascent method for solving optimum programming problems," J. Appl. Mechan., vol. 29, pp. 247-257, 1962.
    • (1962) J. Appl. Mechan. , vol.29 , pp. 247-257
    • Bryson, A.E.1    Denham, W.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.