本文给出了一般非负广义幂等矩阵的充要条件。
In this paper, we study nonnegative generalized idempotent matrices in detail.
给出并证明了实幂等矩阵的九个等价条件，以及实对称幂等矩阵的一个等价条件。
Nine equivalent conditions of real idempotent matrix are given and proved, and one equivalent condition of real symmetric idempotent matrix is also given in this paper.
给出了两两互素多项式下线性变换的核的直和分解，并应用于幂等矩阵（对合矩阵）的秩的等式证明中。
The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given, and it was used in the proof of some equality about the rank of idempotent matrix.
本文主要研究了符号幂等矩阵和对称符号模式矩阵的性质及它们之间的关系，特别是符号幂等矩阵的负元素的个数。
In this paper, we mainly study the sign idempotent of sign patterns, symmetric sign patterns and their relations, especially the number of negative entries that occur in sign idempotent sign pattern.
讨论了一般符号模式矩阵的幂等性和广义逆。
I discuss idempotent, generalized inverses of general sign pattern matrix.
通过幂等的定义，给出了两种符号幂等模式矩阵的结构。
Meanwhile, we give two structures of the sign idempotent by the definition of idempotent.
通过幂等的定义，给出了两种符号幂等模式矩阵的结构。
Meanwhile, we give two structures of the sign idempotent by the definition of idempotent.
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