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The sparsity of Bruhat decomposition factors of nonsingular matrices

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Abstract

The paper analyzes the sparsity pattern of triangular factors of the reduced Bruhat decomposition of a non-singular matrix over a field, which is an alternative to the commonly used LU decomposition. Bounds for the length of the Bruhat permutation of a matrix providing upper bounds for the number of nonzero entries in the reduced triagular factor of its Bruhat decomposition are also presented. Bibliography: 6 titles.

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Literature Cited

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Authors
  1. L. Yu. Kolotilina
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Translated by L. Yu. Kolotilina.

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 202, 1992, pp. 5–17.

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Kolotilina, L.Y. The sparsity of Bruhat decomposition factors of nonsingular matrices. J Math Sci 79, 1035–1042 (1996). https://doi.org/10.1007/BF02366125

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  • DOI: https://doi.org/10.1007/BF02366125

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