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Original Articles

A new version of Kovarik’s approximate orthogonalization algorithm without matrix inversion

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Pages 1235-1246 | Received 29 Jun 2004, Published online: 19 Aug 2006

References

  • Golub , G. H. and van Loan , C. F. 1983 . Matrix Computations , Baltimore, MD : John’s Hopkins University Press .
  • Kovarik , S. 1970 . Some iterative methods for improving orthogonality . SIAM Journal on Numerical Analysis , 7 : 386 – 389 .
  • Popa , C. 2001 . A method for improving orthogonality of rows and columns of matrices . International Journal of Computer Mathematics , 77 : 469 – 480 .
  • Popa , C. 2003 . Modified Kovarik algorithm for approximate orthogonalization of arbitrary matrices . International Journal of Computer Mathematics , 80 : 519 – 525 .
  • Popa , C. 2001 . Extension of an approximate orthogonalization algorithm to arbitrary rectangular matrices . Linear Algebre and Its Applications , 331 : 181 – 192 .
  • Kamm , J. and Nagy , J. G. 1998 . A total least squares method for Toeplitz systems of equations . BIT , 38 : 560 – 582 .
  • Nashed , M. Z. and Wahba , G. 1974 . Convergence rates of approximate least squares solutions of linear integral and operator equations of the first kind . Mathematics of Computation , 28 : 69 – 80 .
  • Engl , H. W. , Hanke , M. and Neubauer , A. 2000 . Regularization of Inverse Problems , Dordrecht : Kluwer Academic .

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