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Inclusion theorems for a section of a matrix

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Summary

Theorems relating the eigensystem of a matrix to a so-called section of the matrix are given. These results are applicable in analysing a class of algorithms to solveAx=λx.

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References

  1. Altom, D. W.: INREGS (subroutine No. F02013), Math. Div., Oak Ridge Natl. Laboratory, Tenn. (1968).

  2. Bauer, F. L., Householder, A. S.: Moments and characteristic roots, Numer. Math.2, 42–53 (1960).

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  3. Morris, W. L.: On the stationary values of a fourth-degree polynomial on the unit sphere, SIAM J. Appl. Math.18, 580–583 (1970).

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  4. Mueller, D. J.: Fortran subroutines for Householder's method in the complex case and eigensystems of Hermitian matrices, Argonne Natl. Laboratory Report ANL.-7231, Argonne, Illinois (1966).

  5. Weinstein, D. H.: Modified Ritz method, Proc. Nat. Acad. Sci. USA20, 529–532 (1934).

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  1. Department of Mathematics, University of Houston, 77004, Houston, Texas, USA

    Wm. L. Morris

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  1. Wm. L. Morris
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Morris, W.L. Inclusion theorems for a section of a matrix. Numer. Math. 18, 457–464 (1971). https://doi.org/10.1007/BF01406682

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  • DOI: https://doi.org/10.1007/BF01406682

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