哈尔滨理工大学理学院,哈尔滨,150080
Published:2023
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MENG Shanshan, JI Donghai. Properties of Generalized Orthogonal Matrices[J]. 2023, 28(1): 154-158.
DOI:
MENG Shanshan, JI Donghai. Properties of Generalized Orthogonal Matrices[J]. 2023, 28(1): 154-158. DOI: 10.15938/j.jhust.2023.01.019.
为了推广正交矩阵理论,利用赋范线性空间中的广义正交性,引入了广义正交矩阵的概念,并对几类广义正交矩阵及其性质进行了讨论,给出了广义Birkhoff正交矩阵可逆的充分条件。
In order to generalize the orthogonal matrix theory
using the generalized orthogonality in normed linear space
the concept of generalized orthogonal matrix is introduced. Several kinds of generalized orthogonal matrices and their properties are discussed
and the sufficient conditions for the invertibility of generalized Birkhoff orthogonal matrices are given.
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