14
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

A new folding gaussian elimination algorithm for general linear systems

Pages 221-238 | Received 12 Feb 1990, Published online: 20 Mar 2007

References

  • Bekakos , M.P. and Evans , D.J. 1988 . Systolic LU-factorization “dequeues” for tridiagonal systems . Internal. J. Computer Math , 25 : 299 – 320 .
  • Dongarra , J.J. , Gustavson , F.G. and Karp , A . 1984 . Implementing linear algebra algorithms for dense matrices on a vector pipeline machine . SIAM Rev , 26 : 91 – 112 .
  • Evans , D.J. 1979 . “ On the numerical solution of sparse systems of finite element equations ” . In The Mathematics of Finite Elements and Applications III , Edited by: Whiteman , J.R. 448 – 458 . New York : Academic Press .
  • Evans , D.J. 1982 . “ Parallel numerical algorithms for linear systems ” . In Parallel Processing Systems , Edited by: Evans , D.J. 357 – 384 . Cambridge : Cambridge Univ. Press .
  • Evans , D.J. 1985 . “ Parallel algorithms in computational linear algebra ” . In Parallel Computers and Computations , Vol. 9 , 55 – 79 . Amsterdam : Centrum . CWI Syllabi
  • Evans , D.J. and Hatzopoulos , M. 1976 . The solution of certain banded systems of linear equations using the folding algorithm . Comput. J , 19 : 184 – 187 .
  • Evans , D.J. and Hatzopoulos , M. 1979 . A parallel linear system solver . Internat. J. Computer Math , 7 : 227 – 238 .
  • Fox , L. 1964 . An Introduction to Numerical Linear Algebra , Oxford : Oxford Univ. Press .
  • Lambiotte , J. and Voigt , R . 1975 . The solution of tridiagonal linear systems on the CDC STAR-100 Computer . ACM Trans. Math. Software , 1 : 308 – 329 .
  • Ortega , J.M. 1988 . Introduction to Parallel and Vector Solution of Linear Systems , New York : Plenum Press .
  • Wang , H.H. 1981 . A parallel method for tridiagonal equations . ACM Trans. Math. Software , 7 : 170 – 183 .
  • Wilkinson , J.H. 1965 . The Algebraic Eigenvalue Problem , Oxford : Clarendon 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.