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自伴随矩阵的若干判据

Some Criterions on Self-adjoint Matrices

中文摘要英文摘要

本文从自伴随矩阵的定义出发,分析了自伴随矩阵的各种情形,给出了矩阵自伴随的充分必要条件,得到了自伴随矩阵的若干性质,最后证明了在伴随运算和转置运算共同作用下保持不变的可逆矩阵集合构成可逆矩阵群的子群。

From the definition of self-adjoint matrices, the author researched all about self-adjoint matrices such as the necessary and sufficient condition that a matrix become a self-adjoint matrix and properties about self-adjoint matrices. Finally the author proved that the set composed of matrices unchanged under the adjoint matrix and transposed matrix operations is a subgroup of general linear group.

许必才

数学

伴随矩阵自伴随矩阵子群

adjoint matricesself-adjoint matricesgroupssubgroupsfields

许必才.自伴随矩阵的若干判据[EB/OL].(2009-06-26)[2025-08-19].http://www.paper.edu.cn/releasepaper/content/200906-725.点此复制

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