Almost strictly sign regular matrices are sign regular matrices with a special zero pattern and whose nontrivial minors are nonzero. In this paper we provide several properties of almost strictly sign regular rectangular matrices of maximal rank and analyze their $QR$ factorization.

中文翻译：

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几乎严格签名正则矩形矩阵

几乎严格符号正则矩阵是具有特殊零模式且非平凡次要非零的符号正则矩阵。在本文中，我们提供了具有最大秩的几乎严格符号正则矩形矩阵的几个属性，并对其进行了分析。$问\mathrm{[R}$ 因式分解。