85 Result(s)
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English
Mathematics
Rui-** **ao
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Article
A Sampling-Based Method to Estimate the Volume of Solution Space for Linear Arithmetic Constraints
The linear arithmetic constraints play important roles in many research fields. Estimating the volume of their solution spaces has specific applications, such as programming verification, linear programming, p...
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IPRSOCP: A Primal-Dual Interior-Point Relaxation Algorithm for Second-Order Cone Programming
Inspired by the smoothing barrier augmented Lagrangian function in Liu et al. (Math Methods Oper Res 96(3):351–382, 2022), we propose a primal-dual interior-point relaxation algorithm for second-order cone pro...
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Article
IPRSDP: a primal-dual interior-point relaxation algorithm for semidefinite programming
We propose an efficient primal-dual interior-point relaxation algorithm based on a smoothing barrier augmented Lagrangian, called IPRSDP, for solving semidefinite programming problems in this paper. The IPRSDP...
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Burning Numbers of Barbells
Motivated by a discrete-time process intended to measure the speed of the spread of contagion in a graph, the burning number b(G) of a graph G, is defined as the smallest integer k for which there are vertices x1
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\(H^1\) -analysis of H3N3-2 \(_\sigma \) -based difference method for fractional hyperbolic equations
A novel H3N3-2 \(_\sigma \) σ ...
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Article
Generalized Dual Hilbert–Schmidt Frames and Their Topological Properties
This paper addresses the Hilbert–Schmidt frame (HS-frame) theory. We introduce the concept of generalized dual HS-frame (g-dual HS-frame) which generalizes that of g-dual frame. We prove that two equivalent HS...
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Ground State Sign-Changing Solutions for a Schrödinger–Poisson System with Steep Potential Well and Critical Growth
In this article, we consider the existence of ground state sign-changing solutions to a class of Schrödinger–Poisson systems $$\begin{aligned}...
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Article
Novel spatial profiles of some diffusive SIS epidemic models
In this paper, we are concerned with two SIS epidemic reaction–diffusion models with mass action infection mechanism of the form SI, and study the spatial profile of population distribution as the movement rate o...
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IPRQP: a primal-dual interior-point relaxation algorithm for convex quadratic programming
We propose IPRQP, an enhanced primal-dual interior-point relaxation method (IPRM), for solving convex quadratic programming. This method is based on a smoothing barrier augmented Lagrangian function for convex...
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Article
Existence of Optical Vortex Solitons in Pair Plasmas
Optical vortices arise as phase dislocations of light fields and they are of importance in modern optical physics. In this study, we employ the calculus of variations method to develop an existence theory for ...
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Article
Portfolio-Consumption Choice with Information Cost
This paper studies an optimal portfolio-consumption choice with information cost. In financial market, investors collect market information to understand the market parameters, make reasonable investment and c...
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Approximation Algorithms for Multi-vehicle Stacker Crane Problems
We study a variety of multi-vehicle generalizations of the Stacker Crane Problem (SCP). The input consists of a mixed graph \(G=(V,E,A)\) ...
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Article
Noise-Induced Quasi-Heteroclinic Cycle in a Rock–Paper–Scissors Game with Random Payoffs
The rock–paper–scissors game is one of the main theoretical models in evolutionary game theory and has been used successfully to explain some observed phenomena in biology, economics and social science. In ord...
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Multiplicity and Calabi–Bernstein type asymptotic property of positive solutions for one-dimensional Minkowski-curvature problems
In this paper, we first consider the existence and multiplicity of positive solutions to a Minkowski-curvature problem when nonlinearity is sublinear. We then study the nonexistence and multiplicity of positiv...
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Correction to: On positive integers n with σl(2n + 1) < σl(2n)
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On the grou** effect of the l1−2 models
This paper aims to study the mathematical properties of the l1−2 models that employ measurement matrices with correlated columns. We first show that the l1−2 model satisfies the grou** effect which ensures that...
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Article
On positive integers n with \(\sigma _l (2n+1)<\sigma _l (2n)\)
For any integer l and any positive integer n, let \( \sigma _{l}(n)=\sum _{d\mid n}d^{l}\) ...
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Article
Lopsided shift-splitting preconditioner for saddle point problems with three-by-three structure
In this paper, a new preconditioner that combines the lopsided idea with the shift technique is proposed for the saddle point problem with three-by-three structure. The new preconditioner has computational adv...
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Article
Topological Complexity: Entropy Point, Metric Mean Dimension in Control Systems
We introduce two new notions to describe the topological complexity of control systems. We first introduce a notion called entropy point to characterize zero and positive outer invariance entropy systems, then...
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Article
Open AccessSubharmonic Bifurcation for a Non-smooth Double Pendulum with Unilateral Impact
A unilateral impact double pendulum model with hinge links is constructed to detect subharmonic bifurcation for the high dimensional non-smooth system. The non-smooth and nonlinear coupled factors lead a barri...
