%0 Journal Article
	%A Mohsen Zahraei
	%D 2015
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 104, 2015
	%T Some Results on the Generalized Higher Rank Numerical Ranges
	%U https://publications.waset.org/pdf/10002343
	%V 104
	%X 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
Є > 0, the notion of Birkhoff-James approximate orthogonality
sets for Є−higher rank numerical ranges of rectangular matrix
polynomials is also introduced and studied. The proposed definitions
yield a natural generalization of the standard higher rank numerical
ranges.
	%P 489 - 493