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A great deal of elegant work has been witnessed for normal matrices. The goal of this chapter is to present basic results and methods about normal matrices. Sect. 9.1 gives conditions equivalent to the normality of matrices, Sect. 9.2 focuses on a special type of normal matrix with entries consisting of zeros and ones, Sect. 9.3 studies the positive semidefinite matrix (A∗A)1/2 associated with a matrix A (see also Sect. 8.6), and finally Sect. 9.4 compares two normal matrices in terms of norms.

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Normal Matrices

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  • 发表日期：

    2026年

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  • Fuzhen Zhang

摘要

A great deal of elegant work has been witnessed for normal matrices. The goal of this chapter is to present basic results and methods about normal matrices. Sect. 9.1 gives conditions equivalent to the normality of matrices, Sect. 9.2 focuses on a special type of normal matrix with entries consisting of zeros and ones, Sect. 9.3 studies the positive semidefinite matrix (A∗A)1/2 associated with a matrix A (see also Sect. 8.6), and finally Sect. 9.4 compares two normal matrices in terms of norms.