The Numerical Radius Unit Ball for 2×2 Matrices
碩士 === 東海大學 === 數學系 === 93 === This thesis is to explore the numerical radius unit ball for 2×2 matrix. The computation of the radius for the 2×2 matrix are studied first. By using the unitary matrix, any 2×2 matrix can be transferred into the upper-triangular form. For the numerical radius unit bal...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2005
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| Online Access: | http://ndltd.ncl.edu.tw/handle/15657577692714216470 |
| Summary: | 碩士 === 東海大學 === 數學系 === 93 === This thesis is to explore the numerical radius unit ball for 2×2 matrix. The computation of the radius for the 2×2 matrix are studied first. By using the unitary matrix, any 2×2 matrix can be transferred into the upper-triangular form. For the numerical radius unit ball, we can prove that it is convex. For the 2×2 upper-triangular matrices that the condition such that the numerical radius w(A) ≤ 1 is derived.
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