K-次正交矩阵及其性质 |
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引用本文: | 刘玉,蔡乌芳.K-次正交矩阵及其性质[J].南通大学学报(自然科学版),2009,8(1). |
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作者姓名: | 刘玉 蔡乌芳 |
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作者单位: | 韩山师范学院,数学与信息技术系,广东,潮州,521041 |
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摘 要: | 仿照次正交矩的定义方法,给出了K-次正交矩阵的概念,讨论了K-次正交矩阵的基本性质,研究了K-次正交矩阵的伴随矩阵、转置矩阵、次转置矩阵、全转置矩阵以及其它分块矩阵的相关性质,得出了一些新的结果.
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关 键 词: | 次对称矩阵 次正交矩阵 全转置矩阵 K-次正交矩阵 |
The K-Sub-Orthogonal Matrix and Its Properties |
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Authors: | LIU Yu CAI Wu-fang |
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Institution: | Department of Mathematics and Information Technology;Hanshan Normal University;Chaozhou 521041;China |
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Abstract: | Referring to the methods of defining sub-orthogonal matrix,we give the concept of K-quasi-sub-orthogonal matrix and obtain the properties of its generalized matrices.Moreover,we examine respectively the properties of the K-anti-sub-orthogonal matrices which are the special cases of K-sub-orthogonal matrix and present the relations among these generalized matrices. |
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Keywords: | sub-symmetric matrix sub-orthogonal matrix full-transposed matrix K-sub-orthogonal matrix |
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