BOUNDS ON BLOCK DIAGONAL PRECONDITIONING

References

• R. J. Arms , L. D. Gates and B. Zondek , A method of block iteration , J. SIAM 4 ( 1956 ), 220 – 229 .
   Google Scholar
• R. Chandra , Conjugate Gradient Methods for Partial Differential Equations , Ph.D. thesis , Department of Computer Science, Yale University , 1978 . Also available as Technical Report 129 .
   Google Scholar
• M. Y.-M. Chang and M H. Schultz , Bounds on block diagonal preconditioning , Department of Computer Science YALEU/DCS/RR-729 , Yale University , August 1989 .
   Google Scholar
• J. Dongarra , J. Bunch , C. Moler and G. Stewart , LINPACK User's Guide , SIAM , Philadelphia , 1979 .
   Google Scholar
• A. George and J. W. Liu , Computer Solution of Large Sparse Positive Definite Systems , Prentice-Hall , 1981 .
   Google Scholar
• G. H. Golub and C. E. van Loan , Matrix Computations , Johns Hopkins University Press , Baltimore , MD , 1983 .
   Google Scholar
• S. V. Parter and M. Steuerwalt , Another look at iterative methods for elliptic difference equations . Department of Computer Science Technical Report #358 , University of Wisconsin Madison , July 1979 .
   Google Scholar
• Y. Saad and M. Schultz , Parallel implementations of preconditioned conjugate gradient methods . Department of Computer Science YALEU/DCS/TR-425 , Yale University , October 1985 .
   Google Scholar
• R. S. Varga , Factorization and normalized iterative methods . In Boundary Problems in Differential Equations , R. E. Langer , ed., University of Wisconsin Press , 1960 , 121 – 142 .
   Google Scholar
• D. M. Young , Iterative Solution of Large Linear Systems , Academic Press , New York , 1971 .
   Google Scholar