关于矩阵分解为三个幂等元的线性组合
On decomposing any matrix as a linear combination of three idempotents
摘要：
在最近的一篇文章中，我们给出了一个矩阵的充分特征，它可以分解为两个具有指定系数的幂等元的线性组合。在本文中，我们使用这些结果来改进V.Rabanovich的一个最近定理：我们建立了每个方阵是三个幂等元的线性组合（对于任意系数域而不仅仅是特征为0的域）。
英文摘要：
In a recent article, we gave a full characterization of matrices that can be decomposed as a linear combination of two idempotents with prescribed coefficients. In this one, we use those results to improve on a recent theorem of V. Rabanovich: we establish that every square matrix is a linear combination of three idempotents (for an arbitrary coefficient field rather than just a field of characteristic 0).
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。
