标题： 多输入多输出系统的迭代切向插值模型降阶框架 显示英文标题

标题： An iterative tangential interpolation framework for model reduction of MIMO systems

摘要： 我们考虑利用频域切向插值对大规模MIMO系统进行模型降阶。 我们的方法与最近开发的自适应Antoulas--Anderson（AAA）算法有关，该算法是一种迭代算法，使用了Loewner框架的概念。 我们的算法采用低秩插值，并根据多个准则（包括最小化最大误差）迭代地添加插值点。 我们证明了在插值点选择方法上存在自由度，这导致了多种具有计算复杂性和近似性能之间权衡的算法。 我们证明了一个代表性误差系统的加权\(H_2\)范数在添加插值点时单调递减。 最后，我们提供了计算结果，并与先前的工作进行了比较，展示了与标准模型降阶方法相当的性能。 显示英文摘要

摘要： We consider model reduction of large-scale MIMO systems using tangential interpolation in the frequency domain. Our scheme is related to the recently-developed Adaptive Antoulas--Anderson (AAA) algorithm, which is an iterative algorithm that uses concepts from the Loewner framework. Our algorithm uses low-rank interpolation and iteratively adds interpolation points based on several criteria including minimizing maximum errors. We show there is freedom in the interpolation point selection method, leading to multiple algorithms that have trade-offs between computational complexity and approximation performance. We prove that a weighted \(H_2\) norm of a representative error system is monotonically decreasing as interpolation points are added. Finally, we provide computational results and some comparisons with prior works, demonstrating performance on par with standard model reduction methods.