| 四元数整环Z（i,j,k）上广义Hermite—酉矩阵的广义酉相似 |
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| 引用本文： | 周晓中.四元数整环Z（i,j,k）上广义Hermite—酉矩阵的广义酉相似[J].商丘师范学院学报,2000,16(6):64-68. |
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| 作者姓名： | 周晓中 |
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| 作者单位： | 商丘师范学院数学系,河南商丘 |
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| 摘 要： | 定义了四元数整环Ｚ（ｉ，ｊ，ｋ），在Ｚ（ｉ，ｊ，ｋ）上定义了广义酉矩和广义Ｈｅｒｍｉｔｅ－酉矩阵，并在广义酉相似的关系下，研究了广义酉相似的充要条件，标准型和全系不变量，且文「１」「２」的结论成为本文的特例。
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| 关 键 词： | 四元数整环 广义酉矩阵 广义酉相似 |
Unitary sinmilarity of generalized Hermite matrix on quaternion rings Z(i,j,k) |
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| ZHOU Xiao,zhong.Unitary sinmilarity of generalized Hermite matrix on quaternion rings Z(i,j,k)[J].Journal of Shangqiu Teachers College,2000,16(6):64-68. |
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| Authors: | ZHOU Xiao zhong |
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| Abstract: | Quaternion rings Z(i,j,k) is defined,the generalized unitary matrix and Hermitematrix are defined on Z(i,j,k) also,sufficient and necessary conditions of the generalized unitary matrix its standard form and invariant are studied under the condition of unitary similarity,the condusion of 1] and 2] are special cases of this paper. |
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| Keywords: | quaternion rings Z(i j k) generalized unitary matrix generalized Hermite matrix generalized unitary similarity |
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