ON PROPERTIES OF NUMERICAL RANGE OVER COMPLEX AND FINITE FIELDS
Numerical range of a matrix A ? Cn×n, denoted byW(A), is the set of all elements in the form x?Ax where ||x|| = 1. In 2016, Coons et. al. defined a generalization of numerical range over finite fields and gave some properties of 2×2 numerical range in the finite field. In this expository thesis,...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/76482 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Numerical range of a matrix A ? Cn×n, denoted byW(A), is the set of all elements
in the form x?Ax where ||x|| = 1. In 2016, Coons et. al. defined a generalization of
numerical range over finite fields and gave some properties of 2×2 numerical range
in the finite field. In this expository thesis, the properties of numerical range of
matrices with components in complex field or finite fields will be explored. We will
analyze properties of numerical range in complex field and consider the analogues
of given properties in the setting of finite fields. |
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