메뉴 건너뛰기




Volumn 47, Issue 8-9, 2004, Pages 1155-1164

Neural networks based approach for computing eigenvectors and eigenvalues of symmetric matrix

Author keywords

Eigenspace; Eigenvalues; Eigenvectors; Recurrent neural networks; Symmetric matrix

Indexed keywords

COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NEURAL NETWORKS; PARALLEL PROCESSING SYSTEMS;

EID: 3242891015     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(04)90110-1     Document Type: Article
Times cited : (64)

References (14)
  • 1
    • 0032594918 scopus 로고    scopus 로고
    • Optimal linear compression under unreliable representation and robust PCA neural models
    • K.I. Diamantaras, K. Hornik and M.G. Strintzis, Optimal linear compression under unreliable representation and robust PCA neural models, IEEE Trans. Neural Networks 10 (5), 1186-1195, (1999).
    • (1999) IEEE Trans. Neural Networks , vol.10 , Issue.5 , pp. 1186-1195
    • Diamantaras, K.I.1    Hornik, K.2    Strintzis, M.G.3
  • 2
    • 0026727495 scopus 로고
    • Convergence analysis of local feature extraction algorithms
    • K. Hornik and C.M. Kuan, Convergence analysis of local feature extraction algorithms, Neural Networks 5, 229-240, (1992).
    • (1992) Neural Networks , vol.5 , pp. 229-240
    • Hornik, K.1    Kuan, C.M.2
  • 3
    • 0031105381 scopus 로고    scopus 로고
    • A minor component analysis algorithm
    • F. Luo, R. Unbehauen and A. Oichocki, A minor component analysis algorithm, Neural Networks 10 (2), 291-297, (1997).
    • (1997) Neural Networks , vol.10 , Issue.2 , pp. 291-297
    • Luo, F.1    Unbehauen, R.2    Oichocki, A.3
  • 4
    • 0031234383 scopus 로고    scopus 로고
    • A minor subspace analysis algorithm
    • F. Luo and R. Unbehauen, A minor subspace analysis algorithm, IEEE Trans. Neural Networks 8 (5), 1149-1153, (1997).
    • (1997) IEEE Trans. Neural Networks , vol.8 , Issue.5 , pp. 1149-1153
    • Luo, F.1    Unbehauen, R.2
  • 5
    • 0029004784 scopus 로고
    • A principal component analysis algorithm with invariant norm
    • F. Luo, R. Unbehauen and Y.D. Li, A principal component analysis algorithm with invariant norm, Neurocomputing 8, 213-221, (1995).
    • (1995) Neurocomputing , vol.8 , pp. 213-221
    • Luo, F.1    Unbehauen, R.2    Li, Y.D.3
  • 6
    • 0028387716 scopus 로고
    • Development and analysis of a neural network approach to Pisarenko's harmonic retrieval method
    • G. Mathew and V.U. Reddy, Development and analysis of a neural network approach to Pisarenko's harmonic retrieval method, IEEE Trans. Signal Processing 42 (3), 663-667, (1994).
    • (1994) IEEE Trans. Signal Processing , vol.42 , Issue.3 , pp. 663-667
    • Mathew, G.1    Reddy, V.U.2
  • 7
    • 0028468390 scopus 로고
    • Orthogonal eigensubspace estimation using neural networks
    • G. Mathew and V.U. Reddy, Orthogonal eigensubspace estimation using neural networks, IEEE Trans. Signal Processing 42 (7), 1803-1811, (1994).
    • (1994) IEEE Trans. Signal Processing , vol.42 , Issue.7 , pp. 1803-1811
    • Mathew, G.1    Reddy, V.U.2
  • 9
    • 0022013023 scopus 로고
    • On stochastic approximation of the eigenvectors and eigenvalues of the expectation of a random matrix
    • E. Oja and J. Karhunen, On stochastic approximation of the eigenvectors and eigenvalues of the expectation of a random matrix, J. of Math. Anal. Appl. 106, 69-84, (1985).
    • (1985) J. of Math. Anal. Appl. , vol.106 , pp. 69-84
    • Oja, E.1    Karhunen, J.2
  • 10
    • 0026954958 scopus 로고
    • Principal components, minor components, and linear neural networks
    • E. Oja, Principal components, minor components, and linear neural networks, Neural Networks 5, 927-935, (1992).
    • (1992) Neural Networks , vol.5 , pp. 927-935
    • Oja, E.1
  • 11
    • 0031259372 scopus 로고    scopus 로고
    • The exponential stability of the invariant norm PCA algorithm
    • K. Reif, F. Lou and R. Unbehauen, The exponential stability of the invariant norm PCA algorithm, IEEE Trans. Circuits and Sys.-II 44 (10), 873-876, (1997).
    • (1997) IEEE Trans. Circuits and Sys.-II , vol.44 , Issue.10 , pp. 873-876
    • Reif, K.1    Lou, F.2    Unbehauen, R.3
  • 12
    • 0032785725 scopus 로고    scopus 로고
    • Against the convergence of the minor component analysis neurons
    • A. Taleb and G. Cirrincione, Against the convergence of the minor component analysis neurons, IEEE Trans. Neural Networks 10 (1), 207-210, (1999).
    • (1999) IEEE Trans. Neural Networks , vol.10 , Issue.1 , pp. 207-210
    • Taleb, A.1    Cirrincione, G.2
  • 13
    • 0026745682 scopus 로고
    • Modified Hebbian learning for curve and surface fitting
    • L. Xu, E. Oja and C. Suen, Modified Hebbian learning for curve and surface fitting, Neural Networks 5, 441-457, (1992).
    • (1992) Neural Networks , vol.5 , pp. 441-457
    • Xu, L.1    Oja, E.2    Suen, C.3
  • 14
    • 0023963505 scopus 로고
    • Adaptive eigensubspace algorithms for direction or frequency estimation and tracking
    • J.F. Yang and M. Kaveh, Adaptive eigensubspace algorithms for direction or frequency estimation and tracking, IEEE Trans. Acoust., Speech, Signal Processing 36 (2), 663-667, (1988).
    • (1988) IEEE Trans. Acoust., Speech, Signal Processing , vol.36 , Issue.2 , pp. 663-667
    • Yang, J.F.1    Kaveh, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.