When is the Adjoint of a Matrix a Low Degree Rational Function in the Matrix?
نویسندگان
چکیده
منابع مشابه
When is the Adjoint of a Matrix a Low Degree Rational Function in the Matrix?
We show that the adjoint A+ of a matrix A with respect to a given inner product is a rational function in A, if and only if A is normal with respect to the inner product. We consider such matrices and analyze the McMillan degrees of the rational functions r such that A+ = r(A). We introduce the McMillan degree of A as the smallest among these degrees, characterize this degree in terms of the nu...
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ژورنال
عنوان ژورنال: SIAM Journal on Matrix Analysis and Applications
سال: 2008
ISSN: 0895-4798,1095-7162
DOI: 10.1137/060675538