Research Article

Convergence Analysis of Extended Global FOM and Extended Global GMRES For Matrix Equations AXB = F

Volume: 10 Number: 2 November 1, 2013
EN TR

Convergence Analysis of Extended Global FOM and Extended Global GMRES For Matrix Equations AXB = F

Abstract

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.

Keywords

References

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  2. F. Ding, T.Chen, Iterative least-squares solutions of coupled Sylvester matrix equations, Systems & Control Letters 54 (2005), 95-107.
  3. F. Ding, T. Chen, On iterative solutions of general coupled matrix equations, SIAM Journal on Control and Optimization 44 (2006), 2269-2284.
  4. 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.
  5. 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.
  6. 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.
  7. R. Lancaster, Theory of Matrix, Academic Press, New York, (1969).
  8. 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.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Azita Tajaddini This is me

Asma Salarmohammadi This is me

Publication Date

November 1, 2013

Submission Date

November 1, 2013

Acceptance Date

-

Published in Issue

Year 2013 Volume: 10 Number: 2

APA
Rivaz, A., Tajaddini, A., & Salarmohammadi, A. (2013). Convergence Analysis of Extended Global FOM and Extended Global GMRES For Matrix Equations AXB = F. Cankaya University Journal of Science and Engineering, 10(2). https://izlik.org/JA37ZF95PN
AMA
1.Rivaz A, Tajaddini A, Salarmohammadi A. Convergence Analysis of Extended Global FOM and Extended Global GMRES For Matrix Equations AXB = F. CUJSE. 2013;10(2). https://izlik.org/JA37ZF95PN
Chicago
Rivaz, Azim, Azita Tajaddini, and Asma Salarmohammadi. 2013. “Convergence Analysis of Extended Global FOM and Extended Global GMRES For Matrix Equations AXB = F”. Cankaya University Journal of Science and Engineering 10 (2). https://izlik.org/JA37ZF95PN.
EndNote
Rivaz A, Tajaddini A, Salarmohammadi A (November 1, 2013) Convergence Analysis of Extended Global FOM and Extended Global GMRES For Matrix Equations AXB = F. Cankaya University Journal of Science and Engineering 10 2
IEEE
[1]A. Rivaz, A. Tajaddini, and A. Salarmohammadi, “Convergence Analysis of Extended Global FOM and Extended Global GMRES For Matrix Equations AXB = F”, CUJSE, vol. 10, no. 2, Nov. 2013, [Online]. Available: https://izlik.org/JA37ZF95PN
ISNAD
Rivaz, Azim - Tajaddini, Azita - Salarmohammadi, Asma. “Convergence Analysis of Extended Global FOM and Extended Global GMRES For Matrix Equations AXB = F”. Cankaya University Journal of Science and Engineering 10/2 (November 1, 2013). https://izlik.org/JA37ZF95PN.
JAMA
1.Rivaz A, Tajaddini A, Salarmohammadi A. Convergence Analysis of Extended Global FOM and Extended Global GMRES For Matrix Equations AXB = F. CUJSE. 2013;10. Available at https://izlik.org/JA37ZF95PN.
MLA
Rivaz, Azim, et al. “Convergence Analysis of Extended Global FOM and Extended Global GMRES For Matrix Equations AXB = F”. Cankaya University Journal of Science and Engineering, vol. 10, no. 2, Nov. 2013, https://izlik.org/JA37ZF95PN.
Vancouver
1.Azim Rivaz, Azita Tajaddini, Asma Salarmohammadi. Convergence Analysis of Extended Global FOM and Extended Global GMRES For Matrix Equations AXB = F. CUJSE [Internet]. 2013 Nov. 1;10(2). Available from: https://izlik.org/JA37ZF95PN