论文标题
在带的toeplitz结构距离上，到对称正面半足以
On the banded Toeplitz structured distance to symmetric positive semidefiniteness
论文作者
论文摘要
本文涉及确定Frobenius Norm中的紧密带子的正面确定的toeplitz矩阵，以确定给定的正方形真实带状矩阵。虽然确定最接近给定的正方形矩阵的最接带的toeplitz矩阵是很简单的，但正面确定性的附加要求使问题很难。我们回顾可用的理论结果，并提供了一种简单的方法来确定带状的确定toeplitz矩阵。
This paper is concerned with the determination of a close real banded positive definite Toeplitz matrix in the Frobenius norm to a given square real banded matrix. While it is straightforward to determine the closest banded Toeplitz matrix to a given square matrix, the additional requirement of positive definiteness makes the problem difficult. We review available theoretical results and provide a simple approach to determine a banded positive definite Toeplitz matrix.
