Pre-images of extreme points of the numerical range, and applications
作者： Ilya M. Spitkovsky , Stephan Weis
DOI: 10.7153/OAM-10-58
关键词:
摘要: We extend the pre-image representation of exposed points numerical range a matrix to all extreme points. With that we characterize which are multiply generated, having at least two linearly independent pre-images, as Hausdorff limits flat boundary portions on ranges sequence converging given matrix. These studies address inverse map and maximum-entropy inference continuous functions except possibly certain generated This work also allows us describe closures subsets 3-by-3 matrices same shape range.
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