Eigenvalues and Diagonal Elements
Rajendra Bhatia, Rajesh Sharma
TL;DR
This paper explores the mathematical relationships between the eigenvalues and diagonal entries of Hermitian matrices, providing insights into their properties and potential applications.
Contribution
It presents new theoretical results linking eigenvalues and diagonal elements of Hermitian matrices, enhancing understanding of their structure.
Findings
Derived inequalities relating eigenvalues and diagonal entries
Established conditions for eigenvalue-diagonal element correspondence
Provided proofs for key properties of Hermitian matrices
Abstract
In this paper we discuss some relations between the eigenvalues and the diagonal entries of Hermitian matrices.
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Taxonomy
TopicsMatrix Theory and Algorithms · graph theory and CDMA systems · Graph theory and applications