On bounds for the convergence of the SSOR method for H-matrices

References

• Alefeld , G. and Varga , R.S. 1976 . Zur konvergenz des symmetrishchen relaxationsver fahrens . Numer. Math. , 25 : 291 – 295 .
   Google Scholar
• Berman , A. and Plemmons , R. J. 1979 . Nonnegative Matrices in the Mathematical Sciences , New York : Academic Press .
   Google Scholar
• Buoni , J. J. and Varga , R. S. 1979 . “ Theorems of Stein-rosenberg type ” . In in Numerical Mathematics , Edited by: Ansorge , R. , Glashoff , K. and Werner , B. Vol. 49 , 65 – 75 . Basel : Birkhauser Verlag . ISNM
   Google Scholar
• Gastinel , N. 1970 . Linear Numerical Analysis , Paris : Herman .
   Google Scholar
• Kahan , W. 1958 . “ Doctoral Thesis ” . In Gauss- Seidel Methods for Solving Large Systems of Linear Equations , Toronto : Univ. of Toronto .
   Google Scholar
• Kulisch , U. 1968 . Uber regular Zerlegungen von Matrizen und einige Andwendungen . Numer. Math. , 11 : 444 – 449 .
   Google Scholar
• Neumann , M. 1981 . The Kahan S.O.R. convergence bound for nonsingular and irreducible M-matrices . Lin. Alg. Appl. , 39 : 205 – 222 .
   Google Scholar
• Neumann , M. and Varga , R. S. 1980 . On the sharpness of some upper bounds for the spectral radii of S.O.R. iteration matrices . Numer. Math. , 35 : 69 – 79 .
   Google Scholar
• Sheldon , J. W. 1955 . On the numerical solution of elliptic difference equations . Math. Tables Aids, Comput. , 9 : 101 – 112 .
   Google Scholar
• Shier , D. R. 1976 . Iterative methods for determining the k shortest paths in a network . Networks , 6 : 205 – 229 .
   Google Scholar
• Varga , R. S. 1976 . On recurring theorems on diagonal dominance . Lin. Alg. Appl. , 13 : 1 – 9 .
   Web of Science ®Google Scholar
• Varga , R. S. 1960 . “ Factorization and normalized iterative methods ” . In in Boundary Problems in Differential Equations , Edited by: Langer , R.E. 121 – 142 . Madison : Univ. of Wisconsin Press .
   Google Scholar
• Varga , R. S. 1962 . Matrix Iterative Analysis , Engiewoou Cuffs, N.J. : Prentice-Hall .
   Google Scholar
• Woznicki , Z. 1973 . “ Doctoral Dissertation ” . In Two-Sweep Iterative Methods for Solving Large Linear Systems and their Application to the Numerical Solution of Multi-Group Multi-Dimensional Neutron Diffusion Equations , Warszwa : Inst. Badan Jadrowych . Report No. 1447/ CTFRIBET/PM/A
   Google Scholar
• Young , D. M. 1971 . Iterative Solutions of Large Linear Systems , New York : Academic Press .
   Google Scholar