论文标题

Kreiss矩阵定理中的分解估计值的改进

An Improvement of the Resolvent Estimate in the Kreiss Matrix Theorem

论文作者

Jin, Zeyu

论文摘要

我们改善了一组产生均匀界限的矩阵的矩阵的kreiss矩阵定理中的分解估计值。事实证明,新的分解估计值等于克里斯的分解状况,它更好地描述了无限分解的行为。

We improve the resolvent estimate in the Kreiss matrix theorem for a set of matrices that generate uniformly bounded semigroups. The new resolvent estimate is proved to be equivalent to Kreiss's resolvent condition, and it better describes the behavior of the resolvents at infinity.

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