Results 1 to 10 of about 180,050 (282)

A recursive condition for the symmetric nonnegative inverse eigenvalue problem

open access: yesRevista Integración, 2017
In this paper we present a sufficient ondition and a necessary condition for Symmetri Nonnegative Inverse Eigenvalue Problem. This condition is independent of the existing realizability criteria.
Elvis Ronald Valero   +2 more
doaj   +1 more source

Inverse eigenvalue problems

open access: yesLinear Algebra and its Applications, 1977
In this paper the author describes two general methods to solve various inverse eigenvalue problems (i.e.p.). The first method is to state an i.e.p. as a system of polynomial equations. By rediscovering the non-linear alternative due to \textit{E. Noether} and \textit{B. L. van der Waerden} [Nachrichten der Gesellschaft der Wissenschaften zu Göttingen,
openaire   +2 more sources

Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator

open access: yesAdvances in Mathematical Physics, 2021
This paper is concerned with the inverse eigenvalue problem for singular rank one perturbations of a Sturm-Liouville operator. We determine uniquely the potential function from the spectra of the Sturm-Liouville operator and its rank one perturbations.
Xuewen Wu
doaj   +1 more source

Solution of the Dirichlet boundary value problem for the Sine-Gordon equation [PDF]

open access: yes, 2002
The sine-Gordon equation in light cone coordinates is solved when Dirichlet conditions on the L-shape boundaries of the strip [0,T]X[0,infinity) are prescribed in a class of functions that vanish (mod 2 pi) for large x at initial time.
Ablowitz   +15 more
core   +3 more sources

Perron Spectratopes and the Real Nonnegative Inverse Eigenvalue Problem

open access: yes, 2015
Call an $n$-by-$n$ invertible matrix $S$ a \emph{Perron similarity} if there is a real non-scalar diagonal matrix $D$ such that $S D S^{-1}$ is entrywise nonnegative.
Johnson, Charles R., Paparella, Pietro
core   +1 more source

The inverse eigenvalue problem for quantum channels [PDF]

open access: yes, 2010
Given a list of n complex numbers, when can it be the spectrum of a quantum channel, i.e., a completely positive trace preserving map? We provide an explicit solution for the n=4 case and show that in general the characterization of the non-zero part of ...
Perez-Garcia, David, Wolf, Michael M.
core   +2 more sources

Bethe ansatz for the SU(4) extension of the Hubbard Model

open access: yes, 1999
We apply the nested algebraic Bethe ansatz method to solve the eigenvalue problem for the SU(4) extension of the Hubbard model. The Hamiltonian is equivalent to the SU(4) graded permutation operator. The graded Yang-Baxter equation and the graded Quantum
Anderson P. W.   +16 more
core   +1 more source

Solving inverse cone-constrained eigenvalue problems

open access: yesNumerische Mathematik, 2012
We compare various algorithms for constructing a matrix of order n whose Pareto spectrum contains a prescribed set = {λ 1 ,. .. , λ p } of reals. In order to avoid overdetermination one assumes that p does not exceed n 2. The inverse Pareto eigenvalue problem under consideration is formulated as an underdetermined system of nonlinear equations. We also
Gajardo, Pedro, Seeger, Alberto
openaire   +7 more sources

Explicit solution for an infinite dimensional generalized inverse eigenvalue problem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We study a generalized inverse eigenvalue problem (GIEP), Ax=λBx, in which A is a semi-infinite Jacobi matrix with positive off-diagonal entries ci>0, and B= diag (b0,b1,…), where bi≠0 for i=0,1,….
Kazem Ghanbari
doaj   +1 more source

An efficient finite element method and error analysis for eigenvalue problem of Schrödinger equation with an inverse square potential on spherical domain

open access: yesAdvances in Difference Equations, 2020
We provide an effective finite element method to solve the Schrödinger eigenvalue problem with an inverse potential on a spherical domain. To overcome the difficulties caused by the singularities of coefficients, we introduce spherical coordinate ...
Yubing Sui   +3 more
doaj   +1 more source

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