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Neighborhoods of DOTU matrices

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Abstract

One derives sufficient conditions in order that a matrix from the neighborhood of a DOTU matrix be a DOTU matrix.

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Literature cited

  1. A. M. Macbeath, “Factorization of matrices and Minkowski's conjecture,” Proc. Glasgow Math. Assoc,5 86–89 (1961).

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  2. P. Gruber, “Eine Bemerkung über DOTU-Matrizen,” J. Number Theory,8, No. 3, 350–351 (1976).

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  3. Kh. N. Narzullaev, “On the representation of a unimodular matrix in the form DOTU for n=3,” Mat. Zametki, 18, No. 2, 213–221 (1975).

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  4. N. Akhmedov, “On the representation of matrices in the DOTU form (in connection with Minkowski's nonhomogeneous problem),” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,67, 86–94 (1977).

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Authors
  1. Kh. N. Narzullaev
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 91, pp. 171–179, 1979.

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Narzullaev, K.N. Neighborhoods of DOTU matrices. J Math Sci 17, 2201–2206 (1981). https://doi.org/10.1007/BF01567600

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  • DOI: https://doi.org/10.1007/BF01567600

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