TY - JOUR ID - Aretaki2011 LB - Aretaki2011 AU - Aretaki, Aikaterini AU - Maroulas, John TI - Investigating the numerical range and q-numerical range of non square matrices ST - Investigating the numerical range and q-numerical range of non square matrices JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2011 VL - 31 IS - 3 SP - 303 EP - 315 DO - http://dx.doi.org/10.7494/OpMath.2011.31.3.303 UR - http://dx.doi.org/10.7494/OpMath.2011.31.3.303 AB - 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. KW - numerical range KW - projectors KW - matrix norms KW - singular values SN - 1232-9274 ER -