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Original Articles

A recursive doubling algorithm for inverting tridiagonal matrices

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Pages 213-220 | Received 20 Mar 1990, Published online: 19 Mar 2007

References

  • Chawla M. M. Passi K. Shivakumar P. N. A recursive partitioning algorithm for inverting tridiagonal matrices Intern. J. Computer Math. to appear
  • Evans , D.J. . On the numerical solution of sparse systems of finite element equations . The Mathematics of Finite Elements and Applications III, Mafelap 1978 Conference Proceedings . pp. 448 – 458 . Academic Press .
  • Evans , D.J. 1982 . “ Parallel numerical algorithms for linear systems ” . In Parallel Processing Systems , 357 – 384 . Cambridge : Cambridge University Press .
  • Evans , D.J. and Okolie , S.O. 1981 . A recursive decoupling algorithm for solving banded linear systems . Intern. J. Computer Math , 10 : 139 – 152 .
  • Householder , A.S. 1953 . Principles of Numerical Analysis , New York : McGraw-Hill Book .
  • Okolie , S.O. 1978 . The Numerical Solution of Sparse Matrix Equations by Fast Methods and Associated Computational Techniques , Loughborough University of Technology . Ph.D. Dissertation
  • Ortega , M. 1988 . Introduction to Parallel and Vector Solution of Linear Systems , New York : Plenum Press .
  • Westlake , J.R. 1968 . A Handbook of Numerical Matrix Inversion and Solution of Linear Equations , New York : John Wiley & Sons .

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