Skip to main content
Log in

A weighted pseudoinverse for complex matrices

  • Published:
Ukrainian Mathematical Journal Aims and scope

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.

Literature cited

  1. J. S. Chipman, “On least squares with insufficient observations,” J. Am, Statist. Assoc.,59, No. 308, 1078–1111 (1964).

    Google Scholar 

  2. J. F. Ward, T. L. Boullion, and T. O. Lewis, “A note on the oblique matrix pseudoinverse,” SIAM J. Appl. Math.,20, No. 2, 173–175 (1971).

    Google Scholar 

  3. R. D. Milne, “An oblique matrix pseudoinverse,” ibid.,16, No. 5, 931–944 (1968).

    Google Scholar 

  4. J. F. Ward, T. L. Boullion, and T. O. Lewis, “Weighted pseudoinverses with singular weights,” ibid.,21, No. 3, 480–482 (1971).

    Google Scholar 

  5. E. H. Moore, Abstract, Bull. Am. Math. Soc.,26, 394–395 (1920).

    Google Scholar 

  6. R. Penrose, “A generalized inverse for matrices,” Proc. Cambridge Phil. Soc.,51, No. 3, 406–413 (1955).

    Google Scholar 

  7. H. P. Decell, “An application of the Cayley-Hamilton theorem to generalized matrix inversion,” SIAM Rev.,7, No. 4, 526–528 (1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 35, No. 1, pp. 53–57, January–February, 1983.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Molchanov, I.N., Galba, E.F. A weighted pseudoinverse for complex matrices. Ukr Math J 35, 46–50 (1983). https://doi.org/10.1007/BF01093162

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01093162

Keywords

Navigation