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中文摘要：
利用有关Hermite阵、斜Hermite阵的几个表达式的秩与分块矩阵的性质,研究了分块Hermite阵[ABB＊X]在无其他约束条件和满足约束条件BXB＊=A（A=A＊）下的最大秩与最小秩,与分块斜Hermite阵[ABB＊X]在无约束条件和满足约束条件BXB＊=A（A=-A＊）下的最大秩与最小秩。
英文摘要：
In this paper,by using the ranks of several expressions about Hermitian matrices and skew-Hermitian matrices and the characters of block matrices,the maximal ranks and minimal ranks of the block Hermitian matrix（ABBX） with respect to X are investigated,where X is an arbitrary Hermitian matrices or X is the Hermitian solutions to the matrix equation BXB=A（A=A）.And the maximal ranks and minimal ranks of the block skew-Hermitian matrix （AB-BX） with respect to X are investigated,where X is an arbitrary skew-Hermitian matrix or X is the skew-Hermitian solutions to the matrix equation BXB=A（A=-A）.
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