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Original Articles

On the preconditioning of the bidiagonalization technique

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Pages 71-86 | Received 19 Nov 1987, Accepted 18 Apr 1988, Published online: 19 Mar 2007

References

  • Coneus , P. , Golub , G.H. and O'Leary , D.P. 1978 . Numerical solution of non-linear elliptic partialdifferential equations by a generalized conjugate gradient method . Computing , 19 : 321 – 329 .
  • Bjorck , A. 1974 . “ Methods for linear squares problems ” . In in The Numerical Solution of Elliptic Differential Equation , Edited by: Bunch , J.R. and Rose , D. Academic Press .
  • Dennis J. E. Jr. Non-linear least squares equations The State of the Art in Numerical Analysis Jacobs D. 1977
  • Gill , P.E. and Murray , W.A. 1965 . Algorithms for the solution of non-linear least squares . Siam. J. Numer. Anal , 2 : 205 – 224 .
  • Paige , C.C. 1974 . Bidiagonalization of matrices and solution of linear equations . Siam. J, Numer. Anal , 11 : 197 – 208 .
  • Stone , H.L. 1968 . Iterative solution of implicit approximation of multidimensional partial differential Equation . Siam. J. Numer. Anal , 5 : 530 – 558 .
  • Young , D.M. and Wheeler , M.F. 1964 . “ Alternating direction methods for solving partial difference Equation ” . In in Non-linear Problems of Engineering , Edited by: Ames , W. Academic Press .

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