Results 1 to 10 of about 30,879 (264)
Simplification of the Gram Matrix Eigenvalue Problem for Quadrature Amplitude Modulation Signals [PDF]
Entropy, 2022 In quantum information science, it is very important to solve the eigenvalue problem of the Gram matrix for quantum signals. This allows various quantities to be calculated, such as the error probability, mutual information, channel capacity, and the ...
Ryusuke Miyazaki +2 more
doaj +2 more sources
Multiple-rank modification of symmetric eigenvalue problem [PDF]
MethodsX, 2018 Rank-1 modifications applied k-times (k > 1) often are performed to achieve a rank-k modification. We propose a rank- k modification for enhancing computational efficiency. As the first step toward a rank- k modification, an algorithm to perform a rank-2
HyungSeon Oh, Zhe Hu
doaj +2 more sources
THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM [PDF]
Forum of Mathematics, Sigma, 2015 The hyperbolic quadratic eigenvalue problem (HQEP) was shown to admit Courant–Fischer type min–max principles in 1955 by Duffin and Cauchy type interlacing inequalities in 2010 by Veselić.
XIN LIANG, REN-CANG LI
doaj +3 more sources
Nonlinear Analysis, 2022 In this paper, we are concerned with the eigenvalue problem of Hadamard-type singular fractional differential equations with multi-point boundary conditions.
Xinguang Zhang +4 more
doaj +1 more source
Three spectra inverse Sturm–Liouville problems with overlapping eigenvalues
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In the paper we show that the Dirichlet spectra of three Sturm–Liouville differential operators defined on the intervals $[0,1]$, $[0,a]$ and $[a,1]$ for some $a\in (0,1)$ fixed, together with the knowledge of the normalizing constants corresponding to ...
Shouzhong Fu, Zhong Wang, Guangsheng Wei
doaj +1 more source
On the spectrum structure for one difference eigenvalue problem with nonlocal boundary conditions
Mathematical Modelling and Analysis, 2023 The difference eigenvalue problem approximating the one-dimensional differential equation with the variable weight coefficients in an integral conditions is considered.
Mifodijus Sapagovas +3 more
doaj +1 more source
MATEC Web of Conferences, 2017 The problem of finding the minimal eigenvalue corresponding to a positive eigenfunction of the nonlinear eigenvalue problem for the ordinary differential equation with coefficients depending on a spectral parameter is investigated. This problem arises in
Solov´ev Sergey I. +2 more
doaj +1 more source
Eigenvalue problems for anisotropic equations involving a potential on Orlicz-Sobolev type spaces [PDF]
Opuscula Mathematica, 2016 In this paper we consider an eigenvalue problem that involves a nonhomogeneous elliptic operator, variable growth conditions and a potential \(V\) on a bounded domain in \(\mathbb{R}^N\) (\(N\geq 3\)) with a smooth boundary.
Ionela-Loredana Stăncuţ +1 more
doaj +1 more source
Fractional eigenvalue problems on $\mathbb{R}^N$
Electronic Journal of Qualitative Theory of Differential Equations, 2020 Let $N\geq 2$ be an integer. For each real number $s\in(0,1)$ we denote by $(-\Delta)^s$ the corresponding fractional Laplace operator. First, we investigate the eigenvalue problem $(-\Delta)^s u=\lambda V(x)u$ on $\mathbb{R}^N$, where $V:\mathbb{R}^N ...
Andrei Grecu
doaj +1 more source
Open Mathematics, 2022 In this article, an effective finite element method based on dimension reduction scheme is proposed for a fourth-order Steklov eigenvalue problem in a circular domain.
Zhang Hui, Liu Zixin, Zhang Jun
doaj +1 more source