Journal of Optimization Theory and Applications

, Volume 20, Issue 2, pp 145–153 | Cite as

Solution of complex matrix equations with changing phase

  • Z. J. Csendes
Contributed Papers
  • 84 Downloads

Abstract

A method is presented for solving a succession of complex matrix equations in which the phase of the real and imaginary components changes. The method is more efficient than the technique obtained by using complex Gaussian elimination on each of the matrix equations separately. In addition, some interesting theoretical relationships are presented for the solution of complex matrix equations in general, using only real-valued arithmetic operations.

Key Words

Linear systems unconstrained minimization mathematical programming finite-difference-finite-element methods pseudoinverse solutions 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Newman, J. S.,Electrochemical Systems, Prentice-Hall, Englewood Cliffs, New Jersey, 1973.Google Scholar
  2. 2.
    Silvester, P., andHaslam, C. R. S.,Magnetotelluric Modelling by the Finite Element Method, Geophysical Prospecting, Vol. 20, pp. 872–891, 1972.Google Scholar
  3. 3.
    Chari, M. V. K.,Finite-Element Solution of the Eddy-Current Problem in Magnetic Structures, IEEE Transactions on Power Apparatus and Systems, Vol. PAS-93, pp. 62–72, 1974.Google Scholar
  4. 4.
    Fox, L.,An Introduction to Numerical Linear Algebra, Clarendon Press, Oxford, England, 1964.Google Scholar
  5. 5.
    Ben-Israel, A., andGreville, T. N. E.,Generalized Inverses: Theory and Applications, John Wiley and Sons, New York, New York, 1974.Google Scholar
  6. 6.
    Rao, G. R., andMitra, S. K.,Generalized Inverse of Matrices and Its Applications, John Wiley and Sons, New York, New York, 1971.Google Scholar
  7. 7.
    Smith, W. W., andErdman, S.,A Note on the Inversion of Complex Matrices, IEEE Transactions on Automatic Control, Vol. AC-19, p. 64, 1974.Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • Z. J. Csendes
    • 1
  1. 1.General Electric CompanySchenectady

Personalised recommendations