فهرس المقالات Duggal transform

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  1 - Symbolic computation of the Duggal transform
  D. Pappas V. Katsikis I. Stanimirovic
  Following the results of \cite{Med}, regarding the Aluthge transform of polynomial matrices, the symboliccomputation of the Duggal transform of a polynomial matrix $A$ is developed in this paper, using the polar decomposition and the singular value decomposition of $A$. أکثر

  Following the results of \cite{Med}, regarding the Aluthge transform of polynomial matrices, the symboliccomputation of the Duggal transform of a polynomial matrix $A$ is developed in this paper, using the polar decomposition and the singular value decomposition of $A$. Thereat, the polynomial singular value decomposition method is utilized, which is an iterative algorithm with numerical characteristics. The introduced algorithm is proven and illustrated in numerical examples.We also represent symbolically the Duggal transform of rank-one matricesusing cross products of vectors and show that the Duggal transform of such matrices can be givenexplicitly by a closed formula and is equal to its Aluthge transform. تفاصيل المقالة