Abstract: A connection between Padé approximants and characteristic polynomial of a matrix with complex, in general, elements is established. A system of homogeneous, first-order ordinary differential ...
We present a conjectural formula for the principal minors and the characteristic polynomial of Gross’s regulator matrix associated to a totally odd character of a totally real field. The formula is ...
We introduce the concept of the almost-companion matrix (ACM) by relaxing the non-derogatory property of the standard companion matrix (CM). That is, we define an ACM as a matrix whose characteristic ...
Abstract: In this note, the compuation of the characteristic polynomial of a square matrix is reviewed. A new method of its computation is then suggested. The suggested method has potential ...
Department of Mathematics, University of Patras, Patras, Greece. Department of Physics, University of Patras, Patras, Greece. A code for “counting and computing the eigenvalues of a complex ...
1 Département de Mathématiques et d’Informatique, Université Abdou Moumouni, Niamey, Niger. 2 Institut de Recherche sur l’Enseignement des Mathématiques, Université A. Moumouni de Niamey, Niamey, ...
Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most challenging tasks in numerical ...
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