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Normal forms of matrices over the ring of formal series
Normal forms of matrices ring of formal series
2010/12/6
Matrices over the ring of formal power series are considered. Normal forms wit respect to various sub-groups of the two-sided transformations are constructed. The construc-tion is based on the special...
Natural Density Distribution of Hermite Normal Forms of Integer Matrices
Natural density Hermite normal form integer lattices
2010/12/13
The Hermite Normal Form (HNF) is a canonical representation of matrices over any principal
ideal domain. Over the integers, the distribution of the HNFs of randomly looking matrices is far from unifo...