On matricial ranges of some‎ ‎matrices

Authors

  • Mahdi Dehghani ‎Department of Pure Mathematics‎, ‎Faculty of Mathematical Sciences‎, ‎University of Kashan‎, ‎P‎. ‎O‎. ‎Box 87317-53153‎, ‎Kashan‎, ‎Iran}
  • Mohsen Kian ‎Department of Mathematics‎, ‎Faculty of Basic Sciences‎, ‎University of Bojnord‎, ‎P‎. ‎O‎. ‎Box‎ ‎1339‎, ‎Bojnord 94531‎, ‎Iran.

Keywords:

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

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.

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Published

2019-01-08

Issue

Vol. 13

Section

Vol. 13, No. 1, (2019)

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