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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… Click to show full abstract
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.
Keywords:
complex matrix;
numerical range;
quaternionic numerical;
range complex;
range;
complex matrices
Journal Title: Linear Algebra and its Applications
Year Published: 2021
Link to full text (if available)
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Journal Title: Linear Algebra and its Applications
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!