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...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Others |
| Language: | zh-TW |
| Published: |
2005
|
| Online Access: | http://ndltd.ncl.edu.tw/handle/15657577692714216470 |
| id |
ndltd-TW-093THU00479009 |
|---|---|
| record_format |
oai_dc |
| spelling |
ndltd-TW-093THU004790092016-06-08T04:13:36Z http://ndltd.ncl.edu.tw/handle/15657577692714216470 The Numerical Radius Unit Ball for 2×2 Matrices 2×2矩陣之數值半徑球 Cheng-Kuang Chiang 江正光 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. Huang-Nan Huang 黄皇男 2005 學位論文 ; thesis 27 zh-TW |
| collection |
NDLTD |
| language |
zh-TW |
| format |
Others
|
| sources |
NDLTD |
| description |
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.
|
| author2 |
Huang-Nan Huang |
| author_facet |
Huang-Nan Huang Cheng-Kuang Chiang 江正光 |
| author |
Cheng-Kuang Chiang 江正光 |
| spellingShingle |
Cheng-Kuang Chiang 江正光 The Numerical Radius Unit Ball for 2×2 Matrices |
| author_sort |
Cheng-Kuang Chiang |
| title |
The Numerical Radius Unit Ball for 2×2 Matrices |
| title_short |
The Numerical Radius Unit Ball for 2×2 Matrices |
| title_full |
The Numerical Radius Unit Ball for 2×2 Matrices |
| title_fullStr |
The Numerical Radius Unit Ball for 2×2 Matrices |
| title_full_unstemmed |
The Numerical Radius Unit Ball for 2×2 Matrices |
| title_sort |
numerical radius unit ball for 2×2 matrices |
| publishDate |
2005 |
| url |
http://ndltd.ncl.edu.tw/handle/15657577692714216470 |
| work_keys_str_mv |
AT chengkuangchiang thenumericalradiusunitballfor22matrices AT jiāngzhèngguāng thenumericalradiusunitballfor22matrices AT chengkuangchiang 22jǔzhènzhīshùzhíbànjìngqiú AT jiāngzhèngguāng 22jǔzhènzhīshùzhíbànjìngqiú AT chengkuangchiang numericalradiusunitballfor22matrices AT jiāngzhèngguāng numericalradiusunitballfor22matrices |
| _version_ |
1718297924223369216 |