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8 Nov 2006 In spite of the fact that some packages (even in Mathematica) for computing the integer Smith Normal Form of a matrix over the integers are 17 Feb 2005 theoretic proof of the structure theorem from the point of view of the Smith normal form of a matrix over a principal ideal domain. One benefit SmithDecomposition[m] gives the Smith normal form decomposition of an integer matrix m. 1 Apr 1995 Fast computation of the Smith normal form of an integer matrix .. Full text: PDF. Mathematical typesetting in Mathematica · Neil Soiffer. In mathematics, the Smith normal form is a normal form that can be defined for any matrix (not necessarily square) with entries in a principal ideal domain (PID). matrix with generalized polynomials as entries has a Smith normal form); this algorithm in the computer algebra system Mathematica; examples are enclosed. Here is an integer matrix mat This form is known as Smith normal form, and the elements a_i(x) are called Giesbrecht, M. "Fast Computation of the Smith Form of a Sparse Integer Matrix. 25 Nov 2005 IntegerSmithNormalForm.m and PolynomialSmithNormalForm.m provide Mathematica commands to find the Smith normal form of a matrix with 14 Feb 2008 The option ExtendedForm->True computes, besides the Smith form S of SmithForm.m (27.9 KB) - Mathematica Package [for Mathematica 5.2]
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