Results 11 to 20 of about 210,059 (263)
The truncated matrix trigonometric moment problem with an open gap
Concrete Operators, 2014 This paper is a continuation of our previous investigations on the truncated matrix trigonometric moment problem in Ukrainian Math. J., 2011, 63, no. 6, 786-797, and Ukrainian Math. J., 2013, 64, no. 8, 1199- 1214.
Zagorodnyuk Sergey
doaj +1 more source
On bounded complex Jacobi matrices and related moment problems in the complex plane [PDF]
Surveys in Mathematics and its Applications, 2023 In this paper we consider the following moment problem: find a positive Borel measure μ on ℂ subject to conditions ∫ zn dμ = sn, n∈ℤ+, where sn are prescribed complex numbers (moments).
Sergey M. Zagorodnyuk
doaj
Gravity as an ensemble and the moment problem
Journal of High Energy Physics, 2021 If a bulk gravitational path integral can be identified with an average of partition functions over an ensemble of boundary quantum theories, then a corresponding moment problem can be solved. We review existence and uniqueness criteria for the Stieltjes
Oliver Janssen +2 more
doaj +1 more source
The Phase Transition Analysis for Random Regular Exact (s, c, k)—SAT Problem
IEEE Access, 2021 The length of each clause in a regular $(s, c, k)-CNF$ formula is $k$ . Each argument occurrences $s$ times, among them, positive occurrences $(c * s)$ times and negative occurrences $(s-c*s)$ times, where $0 < c < 1$ . A regular exact $(
Xiaoling Mo, Daoyun Xu, Xi Wang
doaj +1 more source
On unbounded commuting Jacobi operators and some related issues
Concrete Operators, 2019 We consider the situations, when two unbounded operators generated by infinite Jacobi matrices, are self-adjoint and commute. It is found that if two Jacobi matrices formally commute, then two corresponding operators are either self-adjoint and commute ...
Osipov Andrey
doaj +1 more source
The Hausdorff Moment Problem [PDF]
Canadian Mathematical Bulletin, 1978 Suppose throughout thatand that {μn}(n≥ 0) is a sequence of real numbers. The (generalized) Hausdorff moment problem is to determine necessary and sufficient conditions for there to be a function x in some specified class satisfying.
openaire +1 more source
A Maximum Entropy Approach to the Realizability of Spin Correlation Matrices
Entropy, 2013 Deriving the form of the optimal solution of a maximum entropy problem, we obtain an infinite family of linear inequalities characterizing the polytope of spin correlation matrices.
Michele Pavon +2 more
doaj +1 more source
On certain non-unique solutions of the Stieltjes moment problem [PDF]
Discrete Mathematics & Theoretical Computer Science, 2010 We construct explicit solutions of a number of Stieltjes moment problems based on moments of the form ${\rho}_{1}^{(r)}(n)=(2rn)!$ and ${\rho}_{2}^{(r)}(n)=[(rn)!]^{2}$, $r=1,2,\dots$, $n=0,1,2,\dots$, \textit{i.e.} we find functions $W^{(r)}_{1,2}(x)>0$
K. A. Penson +4 more
doaj +1 more source
On two resolvent matrices of the truncated Hausdorff matrix moment problem
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022 We consider the truncated Hausdorff matrix moment problem (THMM) in case of a finite number of even moments to be called non degenerate if two block Hankel matrices constructed via the moments are both positive definite matrices.
A. E. Choque-Rivero +1 more
doaj +1 more source
Darboux transformation of symmetric Jacobi matrices and Toda lattices
Frontiers in Applied Mathematics and StatisticsLet J be a symmetric Jacobi matrix associated with some Toda lattice. We find conditions for Jacobi matrix J to admit factorization J = LU (or J = 𝔘𝔏) with L (or 𝔏) and U (or 𝔘) being lower and upper triangular two-diagonal matrices, respectively.
Ivan Kovalyov, Oleksandra Levina
doaj +1 more source