Results 11 to 20 of about 2,374 (146)
Eigenvalue Localization Inequalities for Complex Matrices With Order n≥3
Advances in Mathematical PhysicsMSC2020 Classification: 15A18, 15A60 ...
Rong Ma, Feng Zhang
doaj +2 more sources
On the Randić energy of caterpillar graphs [PDF]
Match-communications in Mathematical and in Computer Chemistry, 2021 A caterpillar graph T (p1, . . . , pr) of order n = r + ∑r i=1 pi, r ≥ 2, is a tree such that removing all its pendent vertices gives rise to a path of order r.
D. Cardoso +3 more
semanticscholar +1 more source
On Join Operation of Graphs by Obtained Monogenic Semigroups
Turkish journal of mathematics & computer science, 2021 For each commutative ring R we associate a simple graph Γ(R). This relationship presents a link between algebra and graph theory. Our main scope in this study is to extend this study over the special algebraic graphs to join graph operations.
Yasar Nacaroglu
semanticscholar +1 more source
Graph complement conjecture for classes of shadow graphs
Operators and Matrices, 2021 The real minimum semidefinite rank of a graph G , denoted mrR+(G) , is defined to be the minimum rank among all real symmetric positive semidefinite matrices whose zero/nonzero pattern corresponds to the graph G .
Monsikarn Jansrang, S. Narayan
semanticscholar +1 more source
On the location of eigenvalues of matrix polynomials [PDF]
Operators and Matrices, 2017 A number λ ∈ C is called an eigenvalue of the matrix polynomial P(z) if there exists a nonzero vector x ∈ Cn such that P(λ)x = 0 . Note that each finite eigenvalue of P(z) is a zero of the characteristic polynomial det(P(z)) .
C. Lê, Thị-Hòa-Bình Dư, T. Nguyen
semanticscholar +1 more source
A New $C$-Eigenvalue Localisation Set for Piezoelectric-Type Tensors
, 2020 A new inclusion set for localisation of the C-eigenvalues of piezoelectric tensors is established. Numerical experiments show that it is better or comparable to the methods known in literature.
L. Liu
semanticscholar +1 more source
Generalization of Mirsky's theorem on diagonals and eigenvalues of matrices [PDF]
, 2012 Mirsky proved that, for the existence of a complex matrix with given eigenvalues and diagonal entries, the obvious necessary condition is also sufficient. We generalize this theorem to matrices over any field and provide a short proof.
Djokovic, Dragomir Z.
core +2 more sources
A note on eigenvalues location for trace zero doubly stochastic matrices [PDF]
, 2015 Some results on the location of the eigenvalues of trace zero doubly stochastic matrices are provided. A result similar to that provided in [H. Perfect and L. Mirsky. Spectral properties of doubly–stochastic matrices.
BENVENUTI, Luca
core +2 more sources
The inverse eigenvalue problem for symmetric anti-bidiagonal matrices [PDF]
, 2005 The inverse eigenvalue problem for real symmetric matrices of the form 0 0 0 . 0 0 * 0 0 0 . 0 * * 0 0 0 . * * 0 . . . . . . . 0 0 * . 0 0 0 0 * * . 0 0 0 * * 0 . 0 0 0 is solved. The solution is shown to be unique.
Andrews +6 more
core +2 more sources
Determinants of Block Tridiagonal Matrices [PDF]
, 2008 An identity is proven that evaluates the determinant of a block tridiagonal matrix with (or without) corners as the determinant of the associated transfer matrix (or a submatrix of it).Comment: 8 pages, final form.
Molinari, Luca G.
core +3 more sources