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An iterative method for symmetric positive semidefinite linear system of equations

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Języki publikacji
EN
Abstrakty
EN
In this paper, a new two-step iterative method for solving symmetric positive semidefinite linear system of equations is presented. A sufficient condition for the semiconvergence of the method is also given. Some numerical experiments are presented to show the efficiency of the proposed method.
Wydawca
Rocznik
Strony
482--492
Opis fizyczny
Bibliogr. 15 poz., tab.
Twórcy
  • Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, Iran
Bibliografia
  • [1] O. Axelsson, Iterative Solution Method, Cambridge University Press, Cambridge, 1996.
  • [2] A. Berman, R. J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, Academic Press, New York, 1979.
  • [3] Z. H. Cao, Semiconvergence of extrapolated iterative methods for singular linear systems, Appl. Math. Comput. 156 (2004), 131–136.
  • [4] N. J. Higham, Accuracy and Stability of Numerical Algorithms, Second edition, SIAM, Philadelphia, 2002.
  • [5] H. B. Keller, On the solution of singular and semidefinite linear systems by iteration, SIAM J. Numer. Anal. 2 (1965), 281–290.
  • [6] C. D. Meyer, Matrix Analysis and Applied Linear Algebra, SIAM, Philadelphia, 2004.
  • [7] Y. Saad, Iterative Methods for Sparse Linear Systems, PWS press, New York, 2000.
  • [8] D. K. Salkuyeh, A. Fahim, A new iterative refinement of the solution of ill-conditioned linear system of equations, Int. J. Comput. Math. 88 (2011), 950–956.
  • [9] Y. Song, L. Wang, On the semiconvergence of extrapolated iterative methods for singular linear systems, Appl. Numer. Math. 44 (2003), 401–413.
  • [10] Y. Song, Semiconvergence of extrapolated iterative methods for singular linear systems, J. Comput. Appl. Math. 106 (1999), 117–129.
  • [11] Y. Song, Semiconvergence of nonnegative splittings for singular matrices, Numer. Math. 85 (2000), 109–127.
  • [12] R. S. Varga, Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1962.
  • [13] X. Wu, R. Shao, Y. Zhu, New iteative improvement of solution for an ill-conditioned system of equations based on a linear dynamic system, Comput. Math. Appl. 44 (2002), 1109–1116.
  • [14] L. Wang, Equivalent conditions for the convergence of extrapolated method for linear systems, Appl. Math. Comput. 184 (2007), 917–923.
  • [15] L. Wang, Y. Song On the optimization of extrapolation methos for singular linar systems, J. Comput. Math. 26 (2008), 227–239.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-74bb5e13-b68a-47af-9b7a-043606852d71
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