Optimum sor convergence for complex spectra

References

• Eiermann , M. , Niethammer , W. and Ruttan , A. 1990 . Optimal successive overrelaxation iterative methods for p-cyclic matrices . Numer. Math. , 57 : 593 – 606 .
   Google Scholar
• Evans , D. J. and Li , C. 1989 . A note on the SOR and CG methods for the large parse least squares problems . Linear Algebra Appl. , 121 : 163 – 170 .
   Google Scholar
• Evans , D. J. and Li , C. 1990 . SOR method and p-cyclic matrices (I) . Intern. J. Comput. Math. , 36 : 57 – 76 .
   Web of Science ®Google Scholar
• Evans , D. J. and Li , C. 1990 . SOR method and p-cyclic matrices (II) . Intern. J. Comput. Math. , 37 : 239 – 250 .
   Web of Science ®Google Scholar
• Galanis , S. and Hadjidimos , A. 1991 . On some convergence results of the k-step iterative methods . Applied Numerical Mathematics , 7 : 297 – 308 .
   Web of Science ®Google Scholar
• Galanis , S. and Hadjidimos , A. 1992 . Best cyclic repartitioning for optimal successive overrelaxation convergence . SIAM J. Matrix Anal. Appl. , 13 ( No. 1 ) : 102 – 120 .
   Web of Science ®Google Scholar
• Galanis , S. , Hadjidimos , A. and Noutsos , D. 1986 . On different classes of monoparametric stationary iterative methods for the solution of linear systems . Math. Comput. Simulation , 28 ( No. 1 ) : 115 – 128 .
   Web of Science ®Google Scholar
• Galanis , S. , Hadjidimos , A. and Noutsos , D. 1988 . On the convergence of monoparametric k-step iterative Euler methods for the solution of linear systems . Intern. J. Comput. Math. , 26 ( No. 1 ) : 45 – 56 .
   Web of Science ®Google Scholar
• Galanis , S. , Hadjidimos , A. and Noutsos , D. 1988 . On the equivalence of k-step iterative Euler methods and successive overrelaxation (SOR) methods for k-cyclic matrices . Math. Comput. Simulation , 30 ( No. 1 ) : 213 – 230 .
   Web of Science ®Google Scholar
• Hadjidimos , A. and Noutsos , D. 1990 . The Young-Eidson algorithm: Applications and extensions . SIAM . Matrix Anal. Appl. , 11 ( No. 1 ) : 620 – 631 .
   Web of Science ®Google Scholar
• Niethammer , W. and Varga , R. S. 1983 . The analysis of k-step iterative methods for linear systems from summability theory . Numer. Math. , 41 ( No. 1 ) : 177 – 206 .
   Web of Science ®Google Scholar
• Varga , R. S. 1962 . Matrix Iterative Analysis , Englewood Cliffs, NJ : Prentice-Hall .
   Google Scholar
• Wild , P. and Niethammer , W. 1987 . Over and underrelaxation for linear systems with weakly cyclic Jacobi matrices of index p . Linear Algebra Appl. , 91 : 29 – 52 .
   Google Scholar
• Young , D. M. 1971 . Iterative Solution of Large Linear Systems , New York : Academic Press .
   Google Scholar
• Young D. M. Eidson H.E. On the determination of the optimum relaxation factor for the SOR method when the eigenvalues of the Jacobi matrix are complex Center for Numerical Analysis, University of Texas Austin, TX 1970 Rept. CNA-1
   Google Scholar