Representation of square matrices by the product of diagonal, orthogonal, triangular, and integral unimodular matrices (in connection with the inhomogeneous Minkowski conjecture)
Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 4, Tome 67 (1977), pp. 86-94
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It is shown that for all sufficiently large numbers $n$ nonsingular square matrices of order $n$ are found for which the representation indicated in the title is impossible.
@article{ZNSL_1977_67_a2,
author = {N. S. Akhmedov},
title = {Representation of square matrices by the product of diagonal, orthogonal, triangular, and integral unimodular matrices (in connection with the inhomogeneous {Minkowski} conjecture)},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {86--94},
publisher = {mathdoc},
volume = {67},
year = {1977},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a2/}
}
TY - JOUR AU - N. S. Akhmedov TI - Representation of square matrices by the product of diagonal, orthogonal, triangular, and integral unimodular matrices (in connection with the inhomogeneous Minkowski conjecture) JO - Zapiski Nauchnykh Seminarov POMI PY - 1977 SP - 86 EP - 94 VL - 67 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a2/ LA - ru ID - ZNSL_1977_67_a2 ER -
%0 Journal Article %A N. S. Akhmedov %T Representation of square matrices by the product of diagonal, orthogonal, triangular, and integral unimodular matrices (in connection with the inhomogeneous Minkowski conjecture) %J Zapiski Nauchnykh Seminarov POMI %D 1977 %P 86-94 %V 67 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a2/ %G ru %F ZNSL_1977_67_a2
N. S. Akhmedov. Representation of square matrices by the product of diagonal, orthogonal, triangular, and integral unimodular matrices (in connection with the inhomogeneous Minkowski conjecture). Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 4, Tome 67 (1977), pp. 86-94. http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a2/