论文标题
复杂矩阵的Quaternionic数值范围
Quaternionic numerical range of complex matrices
论文作者
论文摘要
该论文进一步探讨了复杂矩阵的Quaternion数值范围的计算。我们证明了So和Tompson的猜想的修改版。具体而言，我们表明，复杂矩阵的Quaternionic数值范围的形状取决于复杂的数值范围和两个实际值。我们在哪个条件下确定复杂矩阵的复合物的复杂数值范围以及Quaternionic数值范围是凸的。
The paper explores further the computation of the quaternionic numerical range of a complex matrix. We prove a modified version of a conjecture by So and Tompson. Specifically, we show that the shape of the quaternionic numerical range for a complex matrix depends on the complex numerical range and two real values. We establish under which conditions the bild of a complex matrix coincides with its complex numerical range and when the quaternionic numerical range is convex.
