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Created July 6, 2017 18:19
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Frobenius normal form




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If this is often treated as mostly a theoretical construction, this is probably because there is no really easy procedure for finding the rational canonical In linear algebra, the Frobenius normal form or rational canonical form of a square matrix A with entries in a field F is a canonical form for matrices obtained by 7 Feb 2011 Minimal polynomial of a matrix) is , i.e. their similarity invariants are (see Normal form). Both are called the companion matrix, or Frobenius In MuPAD Notebook only, linalg::frobeniusForm(A) returns the Frobenius form of the matrix A, also called the Rational Canonical form of A. In linear algebra , the Frobenius normal form or rational canonical form of a square matrix A with entries in a field F is a canonical form for matrices obtained by Abstract we describe an 00?) ?eld operations algorithm for com- puting the Frobenius normal form of an n X 11 matrix. As applications we get 002?) algorithms Algorithmic Applications of the Frobenius Normal Form. Karol Wegrzycki. University of Warsaw k.wegrzycki@mimuw.edu.pl. 9 march 2017. Joint work with Piotr 21 Jun 2012 like the Frobenius normal form in the part associated with the spectral radius. Based on the Frobenius-Jordan form, spectral and combinatorial Computing the Frobenius Normal Form of a Sparse Matrix. Gilles Villard. CNRS-LMC, BP53 F38041 Grenoble cedex 9, France. Abstract. We probabilistically Abstract. We probabilistically determine the Frobenius form and thus the characteristic polynomial of a matrix A?n?n by O(?nlog(n)) multiplications of A by


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