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Abstract

To obtain a solution of the linear system of equations
$$ A\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}\to {x} = \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}\to {b} , $$
(1.1)
where A is an n Xn complex matrix, it is often convenient to consider the splitting of A,
$$ A = D - L - U, $$
(1.2)
where D, L, and U are n X n matrices with D nonsingular.

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References

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    A. M. Ostrowski, Solution of Equations in Euclidean and Banach Spaces, Academic Press, New York, 1973.Google Scholar
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    G. W. Stewart, Introduction to Matrix Computations, Academic Press, New York, 1973.Google Scholar
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    R. S. Varga, Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, N. J., 1962.Google Scholar
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    D. M. Young, Iterative Solution of Large Linear Systems, Academic Press, New York, 1971.Google Scholar

Copyright information

© Springer Basel AG 1979

Authors and Affiliations

  • John J. Buoni
    • 1
  • Richard S. Varga
    • 2
  1. 1.Kent State UniversityUSA
  2. 2.Air Force Office of Scientific ResearchDepartment of EnergyUSA

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