ILL-CONDITIONED

作品数：18被引量：44H指数：5
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相关领域：理学更多>>
相关作者：黄心渊万耀青更多>>
相关机构：北京理工大学更多>>
相关期刊：《Applied Mathematics》《Science China(Technological Sciences)》《Computer Modeling in Engineering & Sciences》《Journal of Computational Mathematics》更多>>
相关基金：国家自然科学基金中国航空科学基金Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry国家重点基础研究发展计划更多>>
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Location method of ill-conditioned microseismic source and its engineering application
《Deep Resources Engineering》2024年第3期30-42,共13页Bing-Rui Chen Tao Li Xinhao Zhu Xu Wang Qing Wang Canxun Du Sanlin Du 
the financial support from the National Natural Science Foundation of China(Grant no.42077263).
Microseismic event location is one of the core parameters in microseismic monitoring,and the accuracy of localization will directly affect the effectiveness of engineering applications.However,limited by spatial facto...
关键词：Microseismic Location method III-conditioned problem Condition number singular value REGULARIZATION Newton downhill method 
A ROBUST INTERIOR POINT METHOD FOR COMPUTING THE ANALYTIC CENTER OF AN ILL-CONDITIONED POLYTOPE WITH ERRORS
《Journal of Computational Mathematics》2019年第6期843-865,共23页Zhouhong Wang Yuhong Dai Fengmin Xu 
The authors would like to thank two anonymous referees for their valuable comments and suggestions.The author Yu-hong Dai is supported by the Chinese Natural Science Foundation(Nos.11631013,71331001 and 11331012);the National 973 Program of China(No.2015CB856002);The author Fengmin Xu is supported by the Chinese NSF grants(Nos.11571271,11631013 and 11605139).
In this paper we propose an efficient and robust method for computing the analytic center of the polyhedral set P={x€R^n|Ax=b,x>0},where the matrix A€ Rm×n is ill-conditioned,and there are errors in A and b.Besides o...
关键词：ANALYTIC center ILL-CONDITIONING Unboundedness PRIMAL-DUAL INTERIOR point algorithm Convergence Polynomial complexity 
A convex relaxation approach for power flow problem
《Journal of Modern Power Systems and Clean Energy》2019年第6期1399-1410,共12页Saeed D.MANSHADI Guangyi LIU Mohammad E.KHODAYAR Jianhui WANG Renchang DAI 
supported by Technology Project of State Grid Corporation of China(No.SGRIJSKJ(2016)800).
A solution to the power flow problem is imperative for many power system applications and several iterative approaches are employed to achieve this objective.However,the chance of finding a solution is dependent on th...
关键词：CONVEX RELAXATION ILL-CONDITIONED POWER FLOW POWER FLOW Network RECONFIGURATION 
Some Remarks on the Method of Fundamental Solutions for Two- Dimensional Elasticity被引量：1
《Computer Modeling in Engineering & Sciences》2019年第11期661-686,共26页M.R.Hematiyan M.Arezou N.Koochak Dezfouli M.Khoshroo 
In this paper,some remarks for more efficient analysis of two-dimensional elastostatic problems using the method of fundamental solutions are made.First,the effects of the distance between pseudo and main boundaries o...
关键词：Method of fundamental solutions elastostatic location parameter configuration of source POINTS ILL-CONDITIONED system of equations shear MODULUS NORMALIZING 
An iterative algorithm for solving ill-conditioned linear least squares problems被引量：8
《Geodesy and Geodynamics》2015年第6期453-459,共7页Deng Xingsheng Yin Liangbo Peng Sichun Ding Meiqing 
supported by Open Fund of Engineering Laboratory of Spatial Information Technology of Highway Geological Disaster Early Warning in Hunan Province(Changsha University of Science&Technology,kfj150602);Hunan Province Science and Technology Program Funded Projects,China(2015NK3035);the Land and Resources Department Scientific Research Project of Hunan Province,China(2013-27);the Education Department Scientific Research Project of Hunan Province,China(13C1011)
Linear Least Squares（LLS） problems are particularly difficult to solve because they are frequently ill-conditioned, and involve large quantities of data. Ill-conditioned LLS problems are commonly seen in mathematics...
关键词：Severe ill-conditioned matrix Linear least squares problems Self-adaptive Iterative scheme Cholesky decomposition Regularization parameter Tikhonov solution Truncated SVD solution 
Computing the Smallest Eigenvalue of Large Ill-Conditioned Hankel Matrices被引量：1
《Communications in Computational Physics》2015年第6期104-124,共21页Niall Emmart Yang Chen Charles C.Weems 
This work is supported in part by the National Science Foundation under Award No.CCF-1217590 and NFS grant#CNS-0619337 and by FDCT 077/2012/A3.Any opinions,findings conclusions or recommendations expressed here are the authors and do not necessarily reflect those of the sponsors.
This paper presents a parallel algorithm for finding the smallest eigenvalue of a family of Hankel matrices that are ill-conditioned.Such matrices arise in random matrix theory and require the use of extremely high pr...
关键词：Parallel eigensolver Hankel matrices extremely ill-conditioned matrices 
An Alternating Direction Approximate Newton Algorithm for Ill-Conditioned Inverse Problems with Application to Parallel MRI
《Journal of the Operations Research Society of China》2015年第2期139-162,共24页William Hager Cuong Ngo Maryam Yashtini Hong-Chao Zhang 
This research was partly supported by National Science Foundation(Nos.1115568 and 1016204);by Office of Naval Research Grants(Nos.N00014-11-1-0068 and N00014-15-1-2048).
Analternating direction approximateNewton(ADAN)method is developed for solving inverse problems of the form min{φ(Bu)+(1/2)||Au−f||^(2)_(2)},whereφis convex and possibly nonsmooth,and A and B arematrices.Problems of...
关键词：Convex optimization Total variation regularization Nonsmooth optimization Global convergence Parallel MRI 
Optimal Static State Estimation Using hybrid Particle Swarm-Differential Evolution Based Optimization
《Energy and Power Engineering》2013年第4期670-676,共7页Sourav Mallick S. P. Ghoshal P. Acharjee S. S. Thakur 
In this paper, swarm optimization hybridized with differential evolution (PSO-DE) technique is proposed to solve static state estimation (SE) problem as a minimization problem. The proposed hybrid method is tested on ...
关键词：DIFFERENTIAL Evolution ILL-CONDITIONED System PARTICLE SWARM OPTIMIZATION State ESTIMATION 
A Modified Augemented Lagrangian Method for a Class of Nonlinear Ill-Posed Problems
《Open Journal of Applied Sciences》2013年第1期70-73,共4页Mhbm Shariff 
A class of nonlinear problems with real parameters is defined. Generally, in this class of problems, when the parametric values are very large, the problems become ill-posed and numerical difficulties are encountered ...
关键词：ITERATIVE Method Nonlinear ILL-CONDITIONED Large PARAMETER VALUES LARGE-SCALE 
Robust Sensor Bias Estimation for Ill-Conditioned Scenarios被引量：7
《Tsinghua Science and Technology》2012年第3期319-323,共5页Xiongjie Du Yue Wang Xiuming Shan 
Sensor bias estimation is an inherent problem in multi-sensor data fusion systems. Classical methods such as the Generalized Least Squares （GLS） method can have numerical problems with ill-conditioned sets which are...
关键词：data fusion sensor bias estimation ILL-CONDITIONING 
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