The Least Eigenvalue of the Graphs Whose Complements Are Connected and Have Pendent Paths [PDF]
The adjacency matrix of a graph is a matrix which represents adjacent relation between the vertices of the graph. Its minimum eigenvalue is defined as the least eigenvalue of the graph.
Cao, J. +7 more
core +1 more source
Inequalities for the Minimum Eigenvalue of Doubly Strictly Diagonally Dominant M-Matrices
Let A be a doubly strictly diagonally dominant M-matrix. Inequalities on upper and lower bounds for the entries of the inverse of A are given. And some new inequalities on the lower bound for the minimal eigenvalue of A and the corresponding eigenvector ...
Ming Xu, Suhua Li, Chaoqian Li
doaj +1 more source
Dynamic Channelized Subband Detection Algorithm Based on Double Characteristic Ratio [PDF]
In the dynamic digital channelized reception architecture, subband detection provides positional information to the synthesis filter bank for signal reconstruction.
Cao Ruilong, Si Weijian, Han Shunli, Zhou You
doaj +1 more source
Phase Diagrams and Piezoelectric Properties of Wurtzite Al1−x−yScxGdyN Heterostructural Alloys
This study demonstrates ferroelectricity and piezoelectric properties improvement of quaternary wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films, guided by density functional theory calculations. Wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films have a high optical bandgap, enhanced piezoelectric ...
Julia L. Martin +11 more
wiley +1 more source
On the lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse M-matrix [PDF]
: In this study, for the minimum eigenvalue 1()AAτ− of the Hadamard product 1AA− of an M-matrix A and its inverse1A− are considered. Some new lower bounds on 1()AAτ− for the Hadamard product of A and 1A− are derived.
Özel, Mustafa
core
A nanoparticle‐cluster‐on‐mirror (NPcoM) serves as a functionally deterministic sub‐nanocavity that emulates picocavities, enabling extreme light–matter interactions and polaritonic phenomena. ABSTRACT Pushing nanoscale optical confinement to its ultimate limits defines the regime of nano‐cavity quantum electrodynamics (nano‐cQED), where light‐matter ...
Huatian Hu +10 more
wiley +1 more source
An innovative algorithm for estimating the minimum eigenvalue of M-matrices
For a general M-matrix, we construct a specialized matrix to derive monotonically increasing lower bounds and monotonically decreasing upper bounds for its minimum eigenvalue.
Qin Zhong, Ling Li, Gufang Mou
doaj +1 more source
Minimum higher eigenvalues of Laplacians on graphs
If \(G\) is an undirected graph, let \(A\) be the adjacency matrix of \(G\), \(D\) be the diagonal matrix whose \((v,v)\) entry is the degree of \(v\), and \(\Delta=D-A\) be the Laplacian of \(G\). If \(G\) is a connected graph, it is known that the eigenvalues of \(\Delta\) satisfy the condition \(0 ...
openaire +3 more sources
On the eigenvalue-based spectrum sensing and secondary user throughput [PDF]
In this paper, we study the tradeoff between sensing time and achievable throughput of the secondary user that employs robust eigenvalue-based spectrum sensing techniques in the presence of noise uncertainty.
Sellathurai, Mathini; id_orcid +4 more
core +1 more source
Diverse Landscape of Tunable Magnetic, Topological, and Ferroelectric States in 2D Ti3Se3Te2
Ti3Se3Te2 emerges as a multifunctional 2D van der Waals platform. The monolayer is a dynamically stable ferromagnetic quantum anomalous Hall insulator. In bilayers, two stacking configurations yield distinct phases: AA‐stacking hosts an altermagnetic quantum spin Hall insulator, while AA′‐stacking exhibits three‐state in‐plane ferroelectricity ...
Jiangtao Yu +5 more
wiley +1 more source

