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An inequality connecting theP-condition number and the determinant

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References

  1. Hardy, G. H., J. E. Littlewood andG. Polya: Inequalities. Cambridge 1952.

  2. Kantorovich, I. V., andV. I. Krylov: Approximate methods of higher analysis. New York: Interscience 1958.

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  3. Ryser, H. J.: Compound and induced matrices in combinatorial analysis. Proc. of Symposia in Appl. Math. v. 10, Amer. Math. Soc., 1960.

  4. Taussky, O.: Note on the condition of matrices. Math. Tables and other aids to computation,IV, No. 30, pp. 111–112 (1950).

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  5. Wedderburn, J. H. M.: Lectures on Matrices. Amer. Math. Soc. Colloquium Publications, v. 17, 1934.

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Authors and Affiliations

  1. The University of California, Santa Barbara

    Marvin Marcus

  2. The University of British Columbia, Vancouver 8

    Marvin Marcus

Authors
  1. Marvin Marcus
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This work was supported by the U. S. Air Force Office of Scientific Research.

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Marcus, M. An inequality connecting theP-condition number and the determinant. Numer. Math. 4, 350–353 (1962). https://doi.org/10.1007/BF01386331

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  • DOI: https://doi.org/10.1007/BF01386331

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