
TL;DR
This paper introduces the concept of SDR-matrices, explores their properties, and presents conjectures about their behavior, including the potential preservation of the SDR property under matrix inversion.
Contribution
It proposes the new concept of SDR-matrices, discusses their fundamental properties, and formulates conjectures about their structural characteristics and behavior.
Findings
Defined the concept of SDR-matrices
Analyzed basic properties of SDR-matrices
Proposed conjectures on SDR-matrices and their inverses
Abstract
In this note, a new concept called {\em -matrix} is proposed, which is an infinite lower triangular matrix obeying the generalized rule of David star. Some basic properties of -matrices are discussed and two conjectures on -matrices are presented, one of which states that if a matrix is a -matrix, then so is its matrix inverse (if exists).
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Taxonomy
TopicsMatrix Theory and Algorithms · graph theory and CDMA systems · Advanced Mathematical Theories and Applications
