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复矩阵的上三角化 被引量:1

Upper Triangulation of Complex Matrices
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摘要 本文主要研究复矩阵的上三角化问题。通过酉矩阵自身的定义以及矩阵的每个位置构造酉矩阵,再根据该矩阵的两个不同酉矩阵,构造出一列酉矩阵,使得任意复矩阵在这组酉矩阵下酉等价于不同的上三角矩阵。 In this paper, the problem of upper triangulation of complex matrices is studied. Through the definition of unitary matrix itself and each position of the unitary matrix, a series of unitary matrices are constructed according to two different unitary matrices of the unitary matrix, so that any complex matrix under these unitary matrices is unitarily equivalent to the upper triangular matrix.
机构地区 辽宁师范大学
出处 《理论数学》 2022年第4期532-539,共8页 Pure Mathematics
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