作者:\n\t孟姗姗，计东海\n

Authors:\n\tMENG Shanshan,JI Donghai\n
摘要:\n\t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。\n

Abstract:\n\tIn 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.\n


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