%0 Journal Article %T Investigating the numerical range and q-numerical range of non square matrices %A Aikaterini Aretaki %A John Maroulas %J Opuscula Mathematica %D 2011 %I AGH University of Science and Technology %X A presentation of numerical ranges for rectangular matrices is undertaken in this paper, introducing two different definitions and elaborating basic properties. Further, we extend to the q-numerical range. %K numerical range %K projectors %K matrix norms %K singular values %U http://www.opuscula.agh.edu.pl/vol31/3/art/opuscula_math_3121.pdf