论文标题
矩形GLT序列
Rectangular GLT Sequences
论文作者
论文摘要
广义局部toeplitz（GLT）序列的理论是计算正方矩阵$ a_n $的渐近光谱分布的强大设备，这是由于差异问题的离散化而产生的。确实，随着网格细度参数$ n $增加到$ \ infty $，序列$ \ {a_n \} _ n $通常是GLT序列。在本文中，在最近的应用中，我们通过开发完整的矩形GLT序列理论来进一步增强GLT设备，作为经典方形GLT序列理论的扩展。我们还详细介绍了应用程序的示例，以说明本文提出的理论的潜在影响。
The theory of generalized locally Toeplitz (GLT) sequences is a powerful apparatus for computing the asymptotic spectral distribution of square matrices $A_n$ arising from the discretization of differential problems. Indeed, as the mesh fineness parameter $n$ increases to $\infty$, the sequence $\{A_n\}_n$ often turns out to be a GLT sequence. In this paper, motivated by recent applications, we further enhance the GLT apparatus by developing a full theory of rectangular GLT sequences as an extension of the theory of classical square GLT sequences. We also detail an example of application as an illustration of the potential impact of the theory presented herein.
