Reliable method for the evaluation of commuting matrices
نویسنده
چکیده
In this paper we study the characteristics of matrices that commute with a given matrix A It appears that these are related to the null space of a well structured matrix More precisely any matrix R that commutes with A has its vectorized column in the null space of that well structured matrix Hence the problem of nding such matrix R is equivalent to that of obtaining a representation of a basis for that space From a numerical point of view we propose a low cost and robust procedure for computing a basis for the commuting null space
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