@article{(Open Science Index):https://publications.waset.org/pdf/10002343, title = {Some Results on the Generalized Higher Rank Numerical Ranges}, author = {Mohsen Zahraei}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {9}, number = {8}, year = {2015}, pages = {489 - 493}, ee = {https://publications.waset.org/pdf/10002343}, url = {https://publications.waset.org/vol/104}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 104, 2015}, }