349 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Chinese Academy of SciencesCN20 papers
- Shenzhen UniversityCN20 papers
- Texas A&M UniversityUS15 papers
- University of CambridgeGB13 papers
- Zhejiang UniversityCN12 papers
- Beihang UniversityCN11 papers
- Academy of Mathematics and Systems ScienceCN9 papers
- Korea Institute for Advanced StudyKR9 papers
- University of Science and Technology of ChinaCN8 papers
- Beijing Normal UniversityCN7 papers
- Peking UniversityCN7 papers
- Tsinghua UniversityCN7 papers
11 papers · 1 filter
Harnack inequalities for - stochastic Klein-Gordon type equations
Zhang Shao-Qin
By the coupling method, we establish the Harnack inequalities, derivative formula and Driver's integration by parts formula for the stochastic Klein-Gordon type equations in the in…
Analyticity for the (generalized) Navier-Stokes equations with rough initial data
Chunyan Huang, Baoxiang Wang
We study the Cauchy problem for the (generalized) incompressible Navier-Stokes equations \begin{align} u_t+(-Δ)^αu+u\cdot \nabla u +\nabla p=0, \ \ {\rm div} u=0, \ \ u(0,x)= u_0.…
Accuracy of generalized gradient approximation functionals for density functional perturbation theory calculations
Lianhua He, Fang Liu, Geoffroy Hautier +6
We assess the validity of various exchange-correlation functionals for computing the structural, vibrational, dielectric, and thermodynamical properties of materials in the framewo…
Overlapping Community Detection in Complex Networks using Symmetric Binary Matrix Factorization
Zhong-Yuan Zhang, Yong Wang, Yong-Yeol Ahn
Discovering overlapping community structures is a crucial step to understanding the structure and dynamics of many networks. In this paper we develop a symmetric binary matrix fact…
Light-tailed behavior of stationary distribution for state-dependent random walks on a strip
Wenming Hong, Meijuan Zhang, Yiqiang Q. Zhao
In this paper, we consider the state-dependent reflecting random walk on a half-strip. We provide explicit criteria for (positive) recurrence, and an explicit expression for the st…
How to solve three fundamental linear matrix inequalities in the Löwner partial ordering
Yongge Tian
This paper shows how to solve analytically the three fundamental linear matrix inequalities $$ AXB \succcurlyeq C \, (\succ C), \ \ AXA^*\succcurlyeq B \, (\succ B), \ \ AX +(AX)^{…
Solutions of the matrix inequalities in the minus partial ordering and in the Löwner partial ordering
Yongge Tian
Two matrices and of the same size are said to satisfy the minus partial ordering, denoted by , iff the rank subtractivity equality ${\rm rank}(\, A - B\,)…
Equalities and inequalities for Hermitian solutions and Hermitian definite solutions of the two matrix equations and
Yongge Tian
This paper studies algebraic properties of Hermitian solutions and Hermitian definite solutions of the two types of matrix equation and . We first establish a v…
Analytical formulas for calculating the extremal ranks of the matrix-valued function when the rank of is fixed
Yongge Tian
One of the simplest matrix-valued function with a single variable matrix is given by . In this this note, analytical formulas are established for calculating the maxim…
Formulas for calculating the extremal ranks and inertias of a matrix-valued function subject to matrix equation restrictions
Yongge Tian
Matrix rank and inertia optimization problems are a class of discontinuous optimization problems in which the decision variables are matrices running over certain matrix sets, whil…
Closed-form formulas for calculating the extremal ranks and inertias of a quadratic matrix-valued function and their applications
Yongge Tian
This paper presents a group of analytical formulas for calculating the global maximal and minimal ranks and inertias of the quadratic matrix-valued function $ϕ(X) = (\, AXB + C\,)M…