• فهرست مقالات rectangular matrix polynomials

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        1 - Higher rank numerical ranges of rectangular matrix polynomials
        Gh. Aghamollaei M. Zahraei
        In this paper, the notion of rank-k numerical range of rectangular complex matrix polynomials are introduced. Some algebraic and geometrical properties are investigated.Moreover, for ϵ > 0; the notion of Birkhoff-James approximate orthogonality sets for ϵ-higherrank چکیده کامل
        In this paper, the notion of rank-k numerical range of rectangular complex matrix polynomials are introduced. Some algebraic and geometrical properties are investigated.Moreover, for ϵ > 0; the notion of Birkhoff-James approximate orthogonality sets for ϵ-higherrank numerical ranges of rectangular matrix polynomials is also introduced and studied. The proposed de nitions yield a natural generalization of the standard higher rank numericalranges. پرونده مقاله