On the parallel factorization of matrices over principal ideal rings
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We describe all the factorizations A=BC (up to associates) of a matrix A over a commutative principal ideal domain parallel to the factorization DA=Φψ of its canonical diagonal form DA (Φ and ψ are diagonal matrices), that is, the factorizations such that the matrices B and C are equivalent to the matrices Φ and ψ respectively.
KeywordsDiagonal Matrice Diagonal Form Ideal Domain Parallel Factorization Ideal Ring
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