supported by the NSF grant DMS-2110780.Li Wang is partially supported by the NSF grant DMS-2009689.
There exist linear relations among tensor entries of low rank tensors.These linear relations can be expressed by multi-linear polynomials,which are called generating polynomials.We use generating polynomials to comput...
supported by the National Natural Science Foundation of China(No.11601371);the Guangdong Basic and Applied Basic Research Foundation(No.2021A1515010232).
In this paper,we propose a general algorithmic framework to solve a class of optimization problems on the product of complex Stiefel manifolds based on the matrix polar decomposition.We establish the weak convergence,...
supported by the Major Program of the National Natural Science Foundation of China(Nos.11991020,11991024);by the National Natural Science Foundation of China(No.12271071).
A new class of filled functions for escaping the current local minimizer of unconstrained global optimization is proposed.This kind of filled functions is continuously differentiable.And it has no exponential terms an...
Given a biobjective linear programming problem,we develop an affine scaling algorithm with min-max direction and demonstrate its convergence for an efficient solution.We implement the algorithm for some minor issues i...
supported in part by the National Natural Science Foundation of China(Nos.11901292,11631014).
Let l>r≥3.Given a 2-graph F,the expansion E^((r))of F is an r-graph obtained from F by adding r-2 new vertices into each edge.When F is a clique of order l,the Turán number ex(n,F^((r)))was first asymptotically dete...
supported by the National Natural Science Foundation of China(No.71701123).
The development of convergent technology makes the drone expected to become a commercial delivery method for terminal logistics distribution.Although the industry has begun to experiment with the coordinated transport...
supported by the National Natural Science Foundation of China(Nos.11861075 and 12101593);Project for Innovation Team(Cultivation)of Yunnan Province(No.202005AE160006);supported by Fundamental Research Funds for the Central Universities(No.buctrc202219);supported by Project of Yunling Scholars Training of Yunnan Province(No.K264202011820).
In this paper,we address the problem of constructing a Steiner tree in the Euclidean plane R^(2)using stock pieces of materials with fixed length,which is modelled as follows.Given a set X={r_(1),r_(2)…,r_(n)}of n te...
supported by the National Natural Science Foundation of China(No.12001286);the Project funded by China Postdoctoral Science Foundation(No.2022M711672).
This paper presents a general framework for addressing sparse portfolio optimization problems using the mean-CVaR(Conditional Value-at-Risk)model and regularization techniques.The framework incorporates a non-negative...
supported by the National Natural Science Foundation of China(No.11961006);Guangxi Natural Science Foundation(No.2020GXNSFAA159100).
The goal of this paper is to introduce and investigate a model called the stochastic tensor variational inequality(denoted by STVI),which is a natural extension of the stochastic linear complementarity problem and the...
supported by the National Natural Science Foundation of China(No.12071260).
For an integer t,where t≥2,letδ_(t)(G)denote the minimum degree sum of an independent set with t vertices in a graph G.We prove that for two integers k,t with k≥3,t≥4,every graph G with|V(G)|≥kt+1.5k+t andδ_(t)...