伪Schur补、伪主枢轴变换及其继承性质
Pseudo Schur Complements, Pseudo Principal Pivot Transforms and Their Inheritance Properties
摘要：
本文证明了分块矩阵的伪Schur补和伪主枢轴变换的一些基本结果。伪舒尔补和伪主枢轴变换分别是舒尔补和主枢轴变换的推广，其中通常的逆被Moore-Penrose逆所取代。目的是记录这些结果，供将来使用。
英文摘要：
In this short note, we prove some basic results on pseudo Schur complement and the pseudo principal pivot transform of a block matrix. Pseudo Schur complement and pseudo principal pivot ransform are extensions of the Schur complement and the principal pivot transform, respectively, where the usual inverse is replaced by the Moore-Penrose inverse. The objective is to record these results for use in future.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
