Skip to main content
Log in

Comments on the Randomized Kaczmarz Method

  • Published:
Journal of Fourier Analysis and Applications Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Cenker, C., Feichtinger, H.G., Mayer, M., Steier, H., Strohmer, T.: New variants of the POCS method using affine subspaces of finite codimension, with applications to irregular sampling. In: Proc. SPIE: Visual Communications and Image Processing, pp. 299–310 (1992)

  2. Feichtinger, H.G., Gröchenig, K.H.: Theory and practice of irregular sampling. In: Benedetto, J., Frazier, M. (eds.) Wavelets: Mathematics and Applications, pp. 305–363. CRC Press, Boca Raton (1994)

    Google Scholar 

  3. Herman, G.T., Meyer, L.B.: Algebraic reconstruction techniques can be made computationally efficient. IEEE Tran. Med. Imaging 12(3), 600–609 (1993)

    Article  Google Scholar 

  4. Natterer, F.: The Mathematics of Computerized Tomography. Wiley, New York (1986)

    MATH  Google Scholar 

  5. Shapiro, A.: Optimality bounds for diagonal scaling. Numer. Math. 14, 14–23 (1969)

    Article  MathSciNet  Google Scholar 

  6. Strohmer, T., Vershynin, R.: A randomized Kaczmarz algorithm with exponential convergence. J. Fourier Anal. Appl. 15(1), 262–278 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  7. van der Sluis, A.: Condition numbers and equilibration of matrices. Numer. Math. 14, 14–23 (1969)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Thomas Strohmer.

Additional information

Communicated by Hans Feichtinger.

T.S. was supported by NSF DMS grant 0511461. R.V. was supported by the Alfred P. Sloan Foundation and by NSF DMS grant 0401032.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Strohmer, T., Vershynin, R. Comments on the Randomized Kaczmarz Method. J Fourier Anal Appl 15, 437–440 (2009). https://doi.org/10.1007/s00041-009-9082-0

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00041-009-9082-0

Keywords

Navigation