Öz
In this paper, we present some convergence results of the extended global full
orthogonalization and the extended global generalized minimal residual methods. We also
present new expressions of the approximate solutions and the corresponding residuals.
Anahtar Kelimeler
Extended block Krylov subspace Extended global FOM Extended global GMRES
Kaynakça
- R. Bouyouli, K. Jbilou, R. Sadaka, H. Sadok, Convergence properties of some block Krylov subspace methods for multiple linear systems, Journal of Computational and Applied Mathematics 196 (2006), 498-511.
- F. Ding, T.Chen, Iterative least-squares solutions of coupled Sylvester matrix equations, Systems & Control Letters 54 (2005), 95-107.
- F. Ding, T. Chen, On iterative solutions of general coupled matrix equations, SIAM Journal on Control and Optimization 44 (2006), 2269-2284.
- F. Ding, P. X. Liu, J. Ding, Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle, Applied Mathematics and Computation 197 (2008), 41-50.
- J. Ding, Y. Liu, F. Ting, Iterative solutions to matrix equations of the form Ai XBi =Fi , Computers and Mathematics with Applications 59 (2010), 3500-3507.
- G. X. Haung, F. Yin, K. Guo, An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation AXB=C, Journal of Computational and Applied Mathematics 212 (2008), 231-244.
- R. Lancaster, Theory of Matrix, Academic Press, New York, (1969).
- A. Messaoudi, Recursive interpolation algorithm: a formalism for solving systems of linear equations—I. Direct methods, Journal of Computational and Applied Mathematics 76 (1996), 13-30.
- F. Panjeh Ali Beik, Note to the global GMRES for solving the matrix equation AXB=F, International Journal of Engineering and Natural Sciences 5 (2011), 101-105.
Öz
In this paper, we present some convergence results of the extended global full orthogonalization and the extended global generalized minimal residual methods. We also present new expressions of the approximate solutions and the corresponding residuals.
Anahtar Kelimeler
Extended block Krylov subspace Extended global FOM Extended global GMRES
Kaynakça
- R. Bouyouli, K. Jbilou, R. Sadaka, H. Sadok, Convergence properties of some block Krylov subspace methods for multiple linear systems, Journal of Computational and Applied Mathematics 196 (2006), 498-511.
- F. Ding, T.Chen, Iterative least-squares solutions of coupled Sylvester matrix equations, Systems & Control Letters 54 (2005), 95-107.
- F. Ding, T. Chen, On iterative solutions of general coupled matrix equations, SIAM Journal on Control and Optimization 44 (2006), 2269-2284.
- F. Ding, P. X. Liu, J. Ding, Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle, Applied Mathematics and Computation 197 (2008), 41-50.
- J. Ding, Y. Liu, F. Ting, Iterative solutions to matrix equations of the form Ai XBi =Fi , Computers and Mathematics with Applications 59 (2010), 3500-3507.
- G. X. Haung, F. Yin, K. Guo, An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation AXB=C, Journal of Computational and Applied Mathematics 212 (2008), 231-244.
- R. Lancaster, Theory of Matrix, Academic Press, New York, (1969).
- A. Messaoudi, Recursive interpolation algorithm: a formalism for solving systems of linear equations—I. Direct methods, Journal of Computational and Applied Mathematics 76 (1996), 13-30.
- F. Panjeh Ali Beik, Note to the global GMRES for solving the matrix equation AXB=F, International Journal of Engineering and Natural Sciences 5 (2011), 101-105.
Ayrıntılar
| Konular | Mühendislik |
|---|---|
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Kasım 2013 |
| Yayımlandığı Sayı | Yıl 2013 Cilt: 10 Sayı: 2 |