Results 1 to 10 of about 1,186 (121)

α-Completely Regular and Almost α-Completely Regular Spaces

open access: yesMathematical Problems in Engineering, 2022
This work is aimed at studying some of the characterizations of α-completely regular and almost α-completely regular spaces through the new concept of α-zero sets and α-continuous functions.
A. Azzam, A. Nasef
semanticscholar   +1 more source

Recognition of matrices which are sign-regular of a given order and a generalization of oscillatory matrices

open access: yesOperators and Matrices, 2021
In this paper, rectangular matrices whose minors of a given order have the same strict sign are considered and sufficient conditions for their recognition are presented.
Rola Alseidi, J. Garloff
semanticscholar   +1 more source

Combined matrix of diagonally equipotent matrices

open access: yesSpecial Matrices, 2023
Let C(A)=A∘A−T{\mathcal{C}}\left(A)=A\circ {A}^{-T} be the combined matrix of an invertible matrix AA, where ∘\circ means the Hadamard product of matrices.
Bru Rafael   +4 more
doaj   +1 more source

Combinatorial properties of the enhanced principal rank characteristic sequence over finite fields

open access: yesSpecial Matrices, 2021
The enhanced principal rank characteristic sequence (epr-sequence) of a symmetric matrix B ∈ 𝔽n×n is defined as ℓ1ℓ2· · · ℓn, where ℓj ∈ {A, S, N} according to whether all, some but not all, or none of the principal minors of order j of B are nonzero ...
Dukes Peter J., Martínez-Rivera Xavier
doaj   +1 more source

Determinants of some Hessenberg matrices with generating functions

open access: yesSpecial Matrices, 2022
In this paper, we derive some relationships between the determinants of some special lower Hessenberg matrices whose entries are the terms of certain sequences and the generating functions of these sequences.
Leerawat Utsanee, Daowsud Katthaleeya
doaj   +1 more source

Schrödinger’s tridiagonal matrix

open access: yesSpecial Matrices, 2021
In the third part of his famous 1926 paper ‘Quantisierung als Eigenwertproblem’, Schrödinger came across a certain parametrized family of tridiagonal matrices whose eigenvalues he conjectured.
Kovačec Alexander
doaj   +1 more source

Disproving a conjecture of Thornton on Bohemian matrices

open access: yesOpen Mathematics, 2021
In this paper, we disprove a remaining conjecture about Bohemian matrices, in which the numbers of distinct determinants of a normalized Bohemian upper-Hessenberg matrix were conjectured.
Du Zhibin   +3 more
doaj   +1 more source

Graph isomorphism and Gaussian boson sampling

open access: yesSpecial Matrices, 2021
We introduce a connection between a near-term quantum computing device, specifically a Gaussian boson sampler, and the graph isomorphism problem. We propose a scheme where graphs are encoded into quantum states of light, whose properties are then probed ...
Brádler Kamil   +4 more
doaj   +1 more source

Bounds for the Z-eigenpair of general nonnegative tensors

open access: yesOpen Mathematics, 2016
In this paper, we consider the Z-eigenpair of a tensor. A lower bound and an upper bound for the Z-spectral radius of a weakly symmetric nonnegative irreducible tensor are presented.
Liu Qilong, Li Yaotang
doaj   +1 more source

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