Is the origin included in the polynomial numerical hulls of direct sum of two Jordan blocks?

کد مقاله : 1073-SLAA10

نویسندگان

سعید کرمی زرندی * دانشکده ریاضی

چکیده مقاله

Let $J_n(lambda)$ be the $n times n$ Jordan block with a positive real eigenvalue $lambda$. In this note, we give some sufficient conditions on $lambda$ so that the origin is not included in the polynomial numerical hull of degree $2$ for the matrix $J_n(lambda) oplus J_n(-lambda)$.

کلیدواژه ها

Jordan block, polynomial numerical hull, stagnation, GMRES method

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