Results 11 to 20 of about 204 (48)
Polynomial birth--death processes and the second conjecture of Valent [PDF]
, 2019 The conjecture of Valent about the type of Jacobi matrices with polynomially growing weights is proved.Comment: 11 ...
Bochkov, Ivan
core +3 more sources
Global algorithms for maximal eigenpair
, 2017 This paper is a continuation of \ct{cmf16} where an efficient algorithm for computing the maximal eigenpair was introduced first for tridiagonal matrices and then extended to the irreducible matrices with nonnegative off-diagonal elements.
Chen, Mu-Fa
core +1 more source
Direct and inverse spectral problems for discrete Sturm-Liouville problem with generalized function potential [PDF]
, 2016 In this work, we study the inverse problem for difference equations which are constructed by the Sturm-Liouville equations with generalized function potential from the generalized spectral function (GSF).
Abdullah Kablan +2 more
core +1 more source
Summation formula inequalities for eigenvalues of the perturbed harmonic oscillator
, 2016 We derive explicit inequalities for sums of eigenvalues of one-dimensional Schr\"{o}dinger operators on the whole line. In the case of the perturbed harmonic oscillator, these bounds converge to the corresponding trace formula in the limit as the number ...
Freitas, Pedro, Kennedy, James B.
core +1 more source
On the asymptotics of eigenvalues for a Sturm-Liouville problem with symmetric single-well potential
Demonstratio MathematicaIn this article, Sturm-Liouville problem with one boundary condition including an eigenparameter is considered, and the asymptotic expansion of its eigenparameter is calculated.
Başkaya Elif
doaj +1 more source
Special MatricesLet Tn=tridiag(−1,b,−1){T}_{n}={\rm{tridiag}}\left(-1,b,-1), an n×nn\times n symmetric, strictly diagonally dominant tridiagonal matrix (∣b∣>2| b| \gt 2). This article investigates tridiagonal near-Toeplitz matrices T˜n≔[t˜i,j]{\widetilde{T}}_{n}:= \left[
Kurmanbek Bakytzhan +2 more
doaj +1 more source
The optimal constant in Hardy-type inequalities
, 2014 To estimate the optimal constant in Hardy-type inequalities, some variational formulas and approximating procedures are introduced. The known basic estimates are improved considerably. The results are illustrated by typical examples. It is shown that the
Chen, Mu-Fa
core +1 more source
Spectral properties of higher order anharmonic oscillators [PDF]
, 2009 We discuss spectral properties of the self-adjoint operator \[ -d^2/dt^2 + (t^{k+1}/(k+1)-\alpha)^2 \] in $L^2(\mathbb{R})$ for odd integers $k$. We prove that the minimum over $\alpha$ of the ground state energy of this operator is attained at a unique ...
Helffer, Bernard, Persson, Mikael
core
Relatively bounded perturbations of J-non-negative operators
, 2022 We improve known perturbation results for self-adjoint operators in Hilbert spaces and prove spectral enclosures for diagonally dominant $J$-self-adjoint operator matrices. These are used in the proof of the central result, a perturbation theorem for $J$-
Philipp, Friedrich
core
A quantitative version of Gordon's Theorem for Jacobi and Sturm-Liouville operators [PDF]
, 2014 We prove a quantitative version of Gordon's Theorem concerning absence of eigenvalues for Jacobi matrices and Sturm-Liouville operators with complex coefficients.Comment: 22 ...
Seifert, Christian
core