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</script>A variation of the Gauss elimination with reduction process and the decomposition of the computation of the order of some finite linear groups of a matrix is described. Some applications are given analogous to canonical forms of decompositions. The canonical Gauss decomposition is also discussed for the case when the eigenvector matrix contains a nontrivial permutation in the canonical Gauss decomposition.
Numerical Analysis, canonical Gauss decomposition, Algebra and Number Theory, Gauss elimination, Discrete Mathematics and Combinatorics, Geometry and Topology, canonical forms, Direct numerical methods for linear systems and matrix inversion, Factorization of matrices
Numerical Analysis, canonical Gauss decomposition, Algebra and Number Theory, Gauss elimination, Discrete Mathematics and Combinatorics, Geometry and Topology, canonical forms, Direct numerical methods for linear systems and matrix inversion, Factorization of matrices
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