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在 线性代数 与 矩阵论 中，一个 矩阵 的 子矩阵 之 舒尔补 是一个与其 余子阵 同样大小的矩阵，定义如下：假设一个 (p + q)× (p + q)的矩阵 m 被分为 a, b, c, d 四个部分，分. 命题（schur补条件）：设 a ∈ r (m + n) × (m + n) a\in r^ { (m+n) \times (m+n)} 是一个对称矩阵，将 a 写成分块形式 [y m × m x x t z n × n] \left [ \begin {array} {cc} y_ {m. 控制中的 lmi / pages / schur 补 schur 补是证明许多 lmi 定理的重要工具。 它经常被用作 lmi 线性化的一个方法。
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Schur补是一种用于分析矩阵块结构的工具，在优化和控制理论中有着广泛应用。 schur补条件： 假设a是一个分块对称矩阵，可以表示为 [a11, a12;
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