On matricial ranges of some‎ ‎matrices

Mahdi Dehghani, Mohsen Kian

Abstract


‎The matricial ranges of $2\times 2$ complex matrices are revisited‎. ‎Moreover‎, ‎using the standard block-matrix techniques‎, ‎we‎ ‎describe matricial ranges of some special non-quadratic higher order matrices‎. ‎Finally‎, ‎we obtain the matricial ranges of some specific $3\times 3$ matrices‎. ‎Various examples are given as‎ ‎well‎.

Keywords


Numerical range‎, ‎matricial range‎, ‎completely positive mapping‎, ‎elliptical range theorem

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