38
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

On A Recursive Schur Preconditioner For Iterative Solution Of A Class Of Dense Matrix Problems

, &
Pages 105-122 | Published online: 15 Sep 2010

  • Amini , S. , Harris , P. J. and Wilton , D. T. 1992 . Coupled Boundary and Finite Unite Element Methods for theSolution of the Dynamic Fluid-Structure Interaction Problem , Berlin : Springer-Verlag .
  • Axelsson , O. 1996 . Iterative Solution Methods , Cambridge, , UK : Cambridge University Press .
  • Beylkin , G. , Coifman , R. R. and Rokhlin , V. 1991 . Fast wavelet transforms and numerical algorithms . I.Commun. Pure Appl. Math. , XLIV : 141 – 183 .
  • Chan , T. F. , Tang , W. P. and Wan , W. L. 1997 . Wavelet sparse approximate inverse preconditioners . BIT , 37 : 644 – 660 .
  • Chan , T. F. and Chen , K. 2000 . Two-stage preconditioners using wavelet band splitting and sparseapproximation , Report CAM 00-26 UCLA .
  • Chen , K. 1998 . On a class of preconditioning methods for dense linear systems from boundary elements . SlAMJ. Sci. Comput. , 20 : 684 – 698 .
  • Chen , K. 1999 . Discrete wavelet transforms accelerated sparse preconditioners for dense boundary elementsystems . Elec. Trans. Numer. Anal. , 8 : 138 – 153 .
  • Cohen , A. , Dahmen , W. and DeVore , R. 2001 . Adaptive wavelet methods for elliptic operator equations-convergence rates . Math. Comput. , 70 : 27 – 75 .
  • Demmel , J. W. 1997 . Applied Numerical Linear Algebra , Philadelphia : SIAM .
  • Ford , J. and Chen , K. Sparse preconditioners exploiting band structures in dense matrices arising fromelastohydrodynamic lubrication problems . Proceedings of 16th IMACSWorld Congress . Lausanne, New Brunswick. Edited by: Deville , M. and Owens , R. IMACS . Paper 317-2
  • Ford , J. and Chen , K. 2001 . An algorithm for accelerated computation of DWTPerbased band preconditioners . Num. Alg. , 26 : 167 – 172 .
  • Ford , J. and Chen , K. 2001 . Wavelet-based preconditioners for dense matrices with non-smooth local features . BIT , 41 : 282 – 307 .
  • Ford , J. , Chen , K. and Scales , L. 2000 . A new wavelet transform preconditioner for iterative solution ofelastohydrodynamic lubrication problems . Int. J. Compta. Maths. , 75 : 497 – 513 .
  • Gines , D. , Beylkin , G. and Dunn , J. 1998 . LU factorization of non-standard forms and direct multiresolutionsolvers . Applied and Computational Harmonic Analysis , 5 : 156 – 201 .
  • Gines , D. 1997 . Fast electromagnetic simulations using wavelets , University of Colorado . PhD thesis
  • Golub , G. H. and Overton , M L. 1988 . The convergence of ineact Chebyshev and Richardson iterativemethods for solving linear systems . Numerische Mathematik , 53 : 571 – 593 .
  • Nurgat , E. , Berzins , M. and Scales , L. 1999 . Solving EHL problems using iterative, multigrid, and homotopymethods . Transactions of the ASME , 121 : 28 – 34 .
  • Saad , Y. 1993 . A flexible inner-outer preconditioned GMRES algorithm . SIAMJ. Sci. Compta. , 14 : 461 – 469 .
  • Saad , Y. 1996 . Iterative Methods for Sparse Linear Systems , Boston : PWS .
  • Strang , G. and Nguyen , T. 1996 . Wavelets and Filter Banks , USA : Wellesley-Cambridge Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.