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Original Articles

The direct solution of banded linear systems by a new matrix factorization procedure

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Pages 279-319 | Received 01 Jan 1982, Published online: 21 Dec 2010

References

  • Evans S. E. udish, The Numerical Solution of Banded Linear Systems by Generalized Factorization Procedures Ph.D. Thesis Loughborough University of Technology 1981
  • Evans , D. J. 1972 . An algorithm for the solution of certain tridiagonal systems of linear equations . Comp. J. , 15 : 356 – 359 .
  • Evans , D. J. and Hadjidimos , A. 1979 . On the factorization of special symmetric periodic and non-periodic quindiagonal matrices . Computing , 21 : 259 – 266 .
  • Evans , D. J. and Okolie , S. O. 1979 . A generalised sparse factorization method for the solution of periodic tridiagnonal systems . Comp. & Maths, with Applics. , 5 : 211 – 216 .
  • Okolie S. O. The Numerical Solution of Sparse Matrix Equations by Fast Methods and Associated Computational Techniques Ph.D. Thesis Loughborough University of Technology 1978
  • Wall , H. S. 1948 . Analytical Theory of Continued Fractions , D. Van Nostrand Co .
  • Evans , D. J. 1981 . On the solution of certain toeplitz tridiagonal linear systems . S.I.N.U.M. , 17 : 675 – 680 .
  • Evans , D. J. 1980 . On the solution of certain symmetric quindiagonal linear systems . Int. J. Comp. Math. , 8 : 271 – 284 .
  • Evans , D. J. and Lipitakis , E. A. 1979 . A Sparse LU Factorization Procedure for the Solution of Parabolic Differential Equations, in Numerical Methods in Thermal Problems , Edited by: Lewis , R. W. and Morgan , K. 954 – 966 . Pineridge Press .
  • Gerald , C. F. 1978 . Applied Numerical Analysis , Addison Wesley .
  • Evans , D. J. and Demetrio , I. C. 1982 . The Preconditioning by Direct Factorization Method for Solving Self-Adjoint Partial Differential Equations, in Preconditioning Methods: Analysis and Applications , Edited by: Evans , D. J. 355 – 378 . Gordon and Breach .

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