Corners of normal matrices
Rajendra Bhatia, Man-Duen Choi
TL;DR
This paper investigates conditions on matrices B and C that allow them to form the off-diagonal blocks of a partitioned normal matrix, advancing understanding of matrix block structures.
Contribution
It introduces new criteria for when matrices B and C can be embedded as off-diagonal blocks in a normal matrix, expanding theoretical knowledge.
Findings
Derived necessary and sufficient conditions for block matrices to be part of a normal matrix
Characterized the structure of off-diagonal blocks in partitioned normal matrices
Provided examples illustrating the applicability of the conditions
Abstract
We study various conditions on matrices and under which they can be the off-diagonal blocks of a partitioned normal matrix.
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Taxonomy
Topicsgraph theory and CDMA systems · Matrix Theory and Algorithms · Advanced Topics in Algebra