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Normal Matrices Subordinate to a Graph
Turnansky, Morrison
Turnansky, Morrison
Abstract
Hence, we explore how the normality of a complex matrix relates to its graph. In particular, our focus is upon how the graph structure can simplify the relations among entries that characterize normality. We begin by observing what it means to be normal for a matrix subordinate to a tree, and then generalize the results to 34 - graphs. A key issue is the relation between absolute symmetry and normality. Real normal matrices are also considered.
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2016-05-01
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Mathematics