A concise functional neural network for computing the extremum eigenpairs of real symmetric matrices

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 3971 LNCS, Issue , 2006, Pages 405-413

  Liu, Yiguang ^a   You, Zhisheng ^a  

^a SICHUAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS;

EIGENPAIRS; FUNCTIONAL NEURAL NETWORK (FNN); QUICK EXTRACTION; REAL SYMMETRIC MATRIX;

NEURAL NETWORKS;

EID: 33745928435     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11759966_61     Document Type: Conference Paper

References (14)

1. Luo, F.-L., Unbehauen, R., Cichocki, A.: A Minor Component Analysis Algorithm. Neural Networks 10(2) (1997) 291-297
2. Luo, F.-L., Unbehauen, R., Li, Y.-D.: A Principal Component Analysis Algorithm with Invariant Norm. Neurocomputing 8(2) (1995) 213-221
3. Song, J., Yam, Y.: Complex Recurrent Neural Network for Computing the Inverse and Pseudo-inverse of the Complex Matrix. Applied Mathematics and Computing 93(2-3) (1998) 195-205.
4. Kakeya, H., Kindo, T.: Eigenspace Separation of Autocorrelation Memory Matrices for Capacity Expansion. Neural Networks 10(5) (1997) 833-843
5. Kobayashi, M., Dupret, G., King, O., Samukawa, H.: Estimation of Singular Values of Very Large Matrices Using Random Sampling. Computers and Mathematics with Applications 42(10-11) (2001) 1331-1352
6. Zhang, Y., Nan, F., Hua, J.: A Neural Networks Based Approach Computing Eigenvectors And Eigenvalues Of Symmetric Matrix. Computers and Mathematics with Applications 47(8-9) (2004) 1155-1164
7. Luo, F.-L., Li, Y.-D.: Real-time Neural Computation of the Eigenvector Corresponding to the Largest Eigenvalue of Positive Matrix. Neurocomputing 7(2) (1995) 145-157
8. Reddy, V. U., Mathew, G., Paulraj, A.: Some Algorithms for Eigensubspace Estimation. Digital Signal Processing 5(2) (1995) 97-115
9. Perfetti, R., Massarelli, E.: Training Spatially Homogeneous Fully Recurrent Neural Networks in Eigenvalue Space. Neural Networks 10(1) (1997) 125-137
10. Liu, Y., You, Z., Cao, L., Jiang, X.: A Neural Network Algorithm for Computing Matrix Eigenvalues and Eigenvectors. Journal of Software 16(6) (2005) 1064-1072
11. Liu, Y., You, Z., Cao, L.: A Simple Functional Neural Network for Computing the Largest and Smallest Eigenvalues and Corresponding Eigenvectors of a Real Symmetric Matrix. Neurocomputing 67 (2005) 369-383
12. Liu, Y., You, Z., Cao, L: A Functional Neural Network for Computing the Largest Modulus Eigenvalues and Their Corresponding Eigenvectors of an Anti-symmetric Matrix. Neurocomputing 67 (2005) 384-397.
13. Liu, Y., You, Z., Cao, L.: A Functional Neural Network Computing Some Eigenvalues and Eigenvectors of a Special Real Matrix. Neural Networks 18(10) (2005) 1293-1300
14. Wang, J.: Recurrent Neural Networks for Computing Pseudoinverses of Rank-deficient Matrices. SIAM Journal on Scientific Computing 18(5) (1997) 1479-1493