论文标题
增生矩阵的数值半径
Numerical radii of accretive matrices
论文作者
论文摘要
矩阵的数值半径是标量数量，在矩阵分析研究中具有许多应用。由于难以计算数值半径，因此在文献中，它受到了极大的关注。在本文中，我们为增生矩阵的数值半径介绍了许多新的界限。这项研究的重要性是一种新方法的存在，该方法可以治疗特定类别的矩阵，即增生矩阵。新的界限提供了一组新的不平等，其中有些可以被视为其他现有的不平等，而另一些则可以将新的见解对一些正面矩阵的一些已知结果呈现出来。
The numerical radius of a matrix is a scalar quantity that has many applications in the study of matrix analysis. Due to the difficulty in computing the numerical radius, inequalities bounding it have received a considerable attention in the literature. In this article, we present many new bounds for the numerical radius of accretive matrices. The importance of this study is the presence of a new approach that treats a specific class of matrices, namely the accretive ones. The new bounds provide a new set of inequalities, some of which can be considered as refinements of other existing ones, while others present new insight to some known results for positive matrices.
