SEMIDEFINITE

作品数:25被引量:21H指数:3
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相关领域:理学更多>>
相关机构:喀什大学南开大学更多>>
相关期刊:《Journal of Applied Mathematics and Physics》《Science China Mathematics》《高等学校计算数学学报》《Journal of Computational Mathematics》更多>>
相关基金:国家自然科学基金国家科技支撑计划更多>>
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An Augmented Lagrangian Uzawa IterativeMethod for Solving Double Saddle-Point Systems with Semidefinite(2,2)Block and its Application to DLM/FDMethod for Elliptic Interface Problems被引量:2
《Communications in Computational Physics》2021年第6期124-143,共20页Cheng Wang Pengtao Sun 
supported by the 10 plus 10 project of Tongji University(No.4260141304/004/010).
.In this paper,an augmented Lagrangian Uzawa iterative method is developed and analyzed for solving a class of double saddle-point systems with semidefinite(2,2)block.Convergence of the iterativemethod is proved under...
关键词:Double saddle-point problem augmented Lagrangian Uzawa method elliptic interface problem distributed Lagrange multiplier/fictitious domain(DLM/FD)method 
Semidefinite relaxation aided noncoherent detection in two-way relay transmission被引量:2
《Frontiers of Information Technology & Electronic Engineering》2019年第9期1259-1265,共7页Chan-fei WANG Ji-ai HE Wei-fang WANG Ya-mei XU 
the Hongliu Excellent Youth Talent Support Program of Lanzhou University of Technology and the National Natural Science Foundation of China(Nos.61561031 and 61562058)。
A high-performance noncoherent transmission scheme is proposed in the broadcasting phase of a twoway relay transmission(TWRT),where multiple-symbol differential detection(MSDD)is performed because of its excellent det...
关键词:Multiple-symbol differential detection Generalized LIKELIHOOD ratio test SEMIDEFINITE RELAXATION Two-way RELAY TRANSMISSION 
A Modified Full-NT-Step Infeasible Interior-Point Algorithm for SDP Based on a Specific Kernel Function
《Journal of Harbin Institute of Technology(New Series)》2019年第2期41-47,共7页Yadan Wang Hongwei Liu Zexian Liu 
Sponsored by the National Natural Science Foundation of China(Grant No.11461021);the Natural Science Basic Research Plan in Shaanxi Province of China(Grant No.2017JM1014);Scientific Research Project of Hezhou University(Grant Nos.2014YBZK06 and 2016HZXYSX03)
This paper proposes a new full Nesterov-Todd(NT) step infeasible interior-point algorithm for semidefinite programming. Our algorithm uses a specific kernel function, which is adopted by Liu and Sun, to deduce the fea...
关键词:SEMIDEFINITE programming infeasible INTERIOR-POINT methods full Nesterov-Todd STEPS KERNEL functions POLYNOMIAL complexity 
关于二次约束二次规划问题强对偶性的几个结果(英文)
《高等学校计算数学学报》2019年第1期54-79,共26页杨庆之 乐航睿 
Supported by the Notional Natural Science Foundation of China(Grant No.11671217);Natural Science Foundation of Xinjiang(Grant No.2017DO1A14)
In this paper, we revisit the strong duality of the quadratically constrained quadratic programming(QCQP) problem. We first generalize a known result for the rank-one decomposition of matrices and then apply it to con...
关键词:QCQP rank-one decomposition of matrix SLATER condition STRONG DUALITY SEMIDEFINITE PROGRAMMING 
Distribution system state estimation: an overview of recent developments被引量:5
《Frontiers of Information Technology & Electronic Engineering》2019年第1期4-17,共14页Gang WANG Georgios B.GIANNAKIS Jie CHEN Jian SUN 
Wang G and Giannakis GB were supported by the National Natural Science Foundation of China(NSFC)(Nos.1514056,1505970,and 1711471);Chen J and Sun J were supported by the NSFC(Nos.61621063 and 61522303);the NSFC-Zhejiang Joint Fund for the Integration of Industrialization and Informatization(No.61720106011);the Projects of Major International(Regional)Joint Research Program NSFC(No.61720106011);the Program for Changjiang Scholars and Innovative Research Team in University(No.IRT1208)
In the envisioned smart grid, high penetration of uncertain renewables, unpredictable participation of(industrial) customers, and purposeful manipulation of smart meter readings, all highlight the need for accurate,fa...
关键词:State estimation Cramér-Rao BOUND Feasible point PURSUIT SEMIDEFINITE relaxation PROXIMAL linear algorithm Composite optimization Cyber attack BAD data detection 
Optimization of a robust collaborative-relay beamforming design for simultaneous wireless information and power transfer
《Frontiers of Information Technology & Electronic Engineering》2018年第11期1432-1443,共12页Lu-lu ZHAO Xing-long JIANG Li-min LI Guo-qiang ZENG Hui-jie LIU 
supported by the National Natural Science Foundation of China(No.61601295);the Zhejiang Provincial Natural Science Foundation of China(No.LY18F030015)
We investigate a collaborative-relay beamforming design for simultaneous wireless information and power transfer. A non-robust beamforming design that assumes availability of perfect channel state information(CSI) in ...
关键词:SIMULTANEOUS WIRELESS INFORMATION and power transfer Channel state INFORMATION ROBUST BEAMFORMING SEMIDEFINITE relaxation Iterative sub-gradient 
Some Properties of Solution to Semidefinite Complementarity Problem
《Journal of Applied Mathematics and Physics》2018年第1期122-129,共8页Yu Chen Cuiling Chen Caihong Han 
In this paper, we discuss the nonemptyness and boundedness of the solution set for P*-semidefinite complementarity problem by using the concept of exceptional family of elements for complementarity problems over the c...
关键词:SEMIDEFINITE Complementarity PROBLEM P*-Mapping Nonemptyness BOUNDEDNESS 
An Effective Algorithm for Quadratic Optimization with Non-Convex Inhomogeneous Quadratic Constraints
《Advances in Pure Mathematics》2017年第4期314-323,共10页Kaiyao Lou 
This paper considers the NP (Non-deterministic Polynomial)-hard problem of finding a minimum value of a quadratic program (QP), subject to m non-convex inhomogeneous quadratic constraints. One effective algorithm is p...
关键词:NONCONVEX INHOMOGENEOUS QUADRATIC Constrained QUADRATIC Optimization SEMIDEFINITE Programming RELAXATION NP-HARD 
Efficient and robust strain limiting and treatment of simultaneous collisions with semidefinite programming
《Computational Visual Media》2016年第2期119-130,共12页Zhendong Wang Tongtong Wang Min Tang Ruofeng Tong 
supported in part by the National High-tech R&D Program of China (No. 2013AA013903);National Natural Science Foundation of China (No. 61572423);Zhejiang Provincial NSFC (No. LZ16F020003);the National Key Technology R&D Program of China (No. 2012BAD35B01);the DoctoralFund of Ministry of Education of China (No. 20130101110133);Ruofeng Tong is partly supported by National Natural Science Foundation of China (No. 61572424)
We present an efficient and robust method which performs well for both strain limiting and treatment of simultaneous collisions. Our method formulates strain constraints and collision constraints as a serial of linear...
关键词:STRAIN LIMITING COLLISION response linear matrix INEQUALITY (LMI) SEMIDEFINITE programming 
Partially positive matrices
《Science China Mathematics》2015年第10期2245-2254,共10页ZHOU AnWa FAN JinYan 
supported by National Natural Science Foundation of China(Grant No.11171217)
A real n × n symmetric matrix P is partially positive(PP) for a given index set I ? {1,..., n} if there exists a matrix V such that V(I, :) 0 and P = V VT. We give a characterization of PP-matrices. A semidefinite al...
关键词:partially positive matrices completely positive matrices A-truncated K-moment problem semidefinite algorithm 
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