A neural-network approach solving symmetric linear system

Journal of Information and Computational Science

Volumn 9, Issue 8, 2012, Pages 2305-2311

  Zeng, Zhezhao ^a   Zhou, Xu ^a   Zhang, Bin ^a  

^a CHANGSHA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Neural network, RLS algorithm; Symmetric positive definite linear systems

Indexed keywords

ALGEBRAIC EQUATIONS; COEFFICIENT MATRIX; LINEAR ALGEBRAIC EQUATION; LINEAR SYSTEM OF EQUATIONS; RECURSIVE LEAST SQUARE ALGORITHMS; RLS ALGORITHMS; SYMMETRIC POSITIVE DEFINITE; WEIGHT VECTOR;

ALGEBRA; LINEAR EQUATIONS; LINEAR SYSTEMS;

NEURAL NETWORKS;

EID: 84865115629     PISSN: 15487741     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. S. Chandra Sekhara Rao, Sarita. A symmetric linear system solver. Appl. Math. Comput. 203 (2008), 368-379
2. G. H. Golub, C. F. V. Loan. Matrix Computations, third ed., The Johns Hopkins University Press, 1996
3. D. J. Evans. The Cholesky Q. I. F. algorithm for solving symmetric linear systems. Int. J. Comput. Math. 72 (1999), 283-288
4. R. R. Khazal. Existence and stability of Cholesky Q. I. F. for symmetric linear systems. Int. J. Comput. Math. 79(9) (2002), 1013-1023
5. C. F. So, S. C. Ng, S. H. Leung. Gradient based variable forgetting factor RLS algorithm. Signal Processing, 83 (2003), 1163-1175
6. Yegui Xiao, Liying Ma, Rabab Kreidieh Ward. Fast RLS Fourier analyzers capable of accommodating frequency mismatch. Signal Processing, 87 (2007), 2197-2212
7. Tomohiro Sogabe. Numerical algorithms for solving comrade linear systems based on tridiagonal solvers. Appl. Math. Comput. 198 (2008) 117-122
8. A. A. Karawia. Two algorithms for solving comrade linear systems. Appl. Math. Comput. 189 (2007), 291-297
9. Miroslav Morháč. Error-free algorithms to solve special and general discrete systems of linear equations. Appl. Math. Comput. 202 (2008), 1-23