This article is cited in 1 scientific paper (total in 1 paper)
On a factorization of square matrices with positive determinant
A. A. Kozlov
Polotsk State University
We prove that any square matrix with positive determinant over the field of real or rational numbers can be represented as a product of nine triangular matrices with positive diagonal elements. This result is the basis for solving of the uniform global attainability problem for linear systems with locally integrable and integrally bounded coefficients.
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A. A. Kozlov, “On a factorization of square matrices with positive determinant”, Tr. Inst. Mat., 25:1 (2017), 51–61
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\paper On a factorization of square matrices with positive determinant
\jour Tr. Inst. Mat.
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This publication is cited in the following articles:
A. A. Kozlov, “Kriterii ravnomernoi globalnoi dostizhimosti lineinykh sistem”, Izv. IMI UdGU, 52 (2018), 47–58
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