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A Modified PRP-HS Hybrid Conjugate Gradient Algorithm for Solving Unconstrained Optimization Problems
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作者 LI Xiangli WANG Zhiling LI Binglan 《应用数学》 北大核心 2025年第2期553-564,共12页
In this paper,we propose a three-term conjugate gradient method for solving unconstrained optimization problems based on the Hestenes-Stiefel(HS)conjugate gradient method and Polak-Ribiere-Polyak(PRP)conjugate gradien... In this paper,we propose a three-term conjugate gradient method for solving unconstrained optimization problems based on the Hestenes-Stiefel(HS)conjugate gradient method and Polak-Ribiere-Polyak(PRP)conjugate gradient method.Under the condition of standard Wolfe line search,the proposed search direction is the descent direction.For general nonlinear functions,the method is globally convergent.Finally,numerical results show that the proposed method is efficient. 展开更多
关键词 Conjugate gradient method Unconstrained optimization Sufficient descent condition Global convergence
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On the stability criteria for constrained switched linear systems with multiple faults
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作者 Tianyu Tan Kunwu Zhang +2 位作者 Keyong Shao Songlin Zhuang Yang Shi 《Journal of Automation and Intelligence》 2025年第3期185-197,共13页
Switched systems play an imperative role in modeling many real industrial systems with abrupt changes.Due to possible exposure to unreliable and complex physical environments,switching dynamics may simultaneously face... Switched systems play an imperative role in modeling many real industrial systems with abrupt changes.Due to possible exposure to unreliable and complex physical environments,switching dynamics may simultaneously face multiple faults,including the unexpected controller disconnect,the temporary mismatch between subsystems and desired corresponding controllers,and the intermittent disordering of mode transitions.These commonly arising faults may result in severe and detrimental impacts on the reliability and convergence of the closed-loop solution,thereby bringing significant yet challenging issues to be tackled.This paper provides the first attempt to investigate the stabilization problem for a class of constrained switched linear systems with multiple faults under mode-dependent dwell time(MDT).From a set-theory perspective,we demonstrate a critical necessary and sufficient stability condition for switched systems without uncertainties.Moreover,the non-conservative stability criterion is further extended to the perturbed switched systems with rigorous proof.A switching communication network example verifies the validity of the theoretical result and demonstrates their advantages. 展开更多
关键词 Necessary and sufficient stability Constrained switched systems Fault-tolerant control Set invariance Robustness Mode-dependent dwell time
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Utilisation of green urban space for food sufficiency and the realisation of the sustainable development goals-UK stakeholders perspective 被引量:1
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作者 Alex Opoku Anna Duff +1 位作者 Moohammed Wasim Yahia Samuel Ekung 《Geography and Sustainability》 CSCD 2024年第1期13-18,共6页
The exponential growth of food demand due to the increasing global population has the potential to seriously threaten the quality and quantity of food supplies due to climate change.This study explores the utilisation... The exponential growth of food demand due to the increasing global population has the potential to seriously threaten the quality and quantity of food supplies due to climate change.This study explores the utilisation of green urban spaces for achieving food self-sufficiency by investigating the extent to which sustainable urban farms could be used to reduce the consumption of imported produce in the UK.It also examines urban farming stakeholders'perspective on how food self-sufficiency can help realise the SDGs especially SDG 2(Zero hunger)and SDG 13(Climate action).The study adopts a mixed method approach through a survey with 115 respondents and semi-structured interviews conducted with 12 respondents from 4 different urban farming stakeholder groups.The findings of this study presented a strong correlation between stakeholders who had concerns about where their food came from and the carbon footprint of imported produce.The research shows that,urban farms will no doubt play a vital role in the future of food security in our cities/communities and that the SDGs could be realised through sustainable urban farms implemented within the relevant planning regulations/policies. 展开更多
关键词 Cities Food sufficiency Green urban space Urban farms SDGS
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Some Properties for a New Generalized Subclass of Close-to-Convex Harmonic Functions
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作者 Shuhai LI Li-na MA +1 位作者 Huo TANG En AO 《Journal of Mathematical Research with Applications》 CSCD 2024年第6期769-781,共13页
In this paper,a new subclass of close-to-convex harmonic functions defined by differential operators is introduced.Some properties for functions belonging to that,such as,representation theorem,sufficient conditions,i... In this paper,a new subclass of close-to-convex harmonic functions defined by differential operators is introduced.Some properties for functions belonging to that,such as,representation theorem,sufficient conditions,inclusion relations,coefficient inequalities,growth and convex combination problems are obtained.In addition,the radius of starlike,the radius of convexity and convolution properties of this class are obtained. 展开更多
关键词 close-to-convex harmonic function inclusion relation coefficient estimate sufficient condition differential operator
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The Hyers-Ulam Stability and Hyers-Ulam Instability for Some Nonhomogeneous Ordinary Differential Equations
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作者 DENG Jing-tao 《Chinese Quarterly Journal of Mathematics》 2024年第4期420-430,共11页
In this paper,we get a necessary and sufficient condition such that a class of differential inequalities hold.Using this necessary and sufficient condition,we prove that a class of first order nonhomogeneous ordinary ... In this paper,we get a necessary and sufficient condition such that a class of differential inequalities hold.Using this necessary and sufficient condition,we prove that a class of first order nonhomogeneous ordinary differential equations have the Hyers-Ulam stability.And then,we prove that some first order nonhomogeneous ordinary differential equations and some second order nonhomogeneous ordinary differential equations do not have the Hyers-Ulam instability under some suitable conditions. 展开更多
关键词 Hyers-Ulam stability Hyers-Ulam instability Ordinary differential equations Necessary and sufficient condition
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Solution of the Matrix Second Semi-Tensor Product Equation A ∘ l X ∘ l B=C
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作者 Hao Zhang 《Journal of Applied Mathematics and Physics》 2024年第10期3261-3280,共20页
In this paper, the solution of the matrix second semi-tensor product equation A∘lX∘lB=Cis studied. Firstly, the solvability of the matrix-vector second semi-tensor product equation is investigated. At the same time,... In this paper, the solution of the matrix second semi-tensor product equation A∘lX∘lB=Cis studied. Firstly, the solvability of the matrix-vector second semi-tensor product equation is investigated. At the same time, the compatibility conditions, the sufficient and necessary conditions and the specific solution methods for the matrix solution are given. Secondly, we further consider the solvability of the second semi-tensor product equation of the matrix. For each part, several examples are given to illustrate the validity of the results. 展开更多
关键词 Matrix Equation The Second Semi-Tensor Product Compatibility Condition Sufficient and Necessary Conditions VECTORIZATION
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Necessary and Sufficient Conditions in Smooth Programming with Generalized Convexity 被引量:1
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作者 孙清滢 叶留青 《Chinese Quarterly Journal of Mathematics》 CSCD 2000年第4期33-37,共5页
Hanson and Mond have grven sets of necessary and sufficient conditions for optimality in constrained optimization by introducing classes of generalized functions, called type Ⅰ functions. Recently, Bector definded un... Hanson and Mond have grven sets of necessary and sufficient conditions for optimality in constrained optimization by introducing classes of generalized functions, called type Ⅰ functions. Recently, Bector definded univex functions, a new class of functions that unifies several concepts of generalized convexity. In this paper, additional conditions are attached to the Kuhn Tucker conditions giving a set of conditions which are both necessary and sufficient for optimality in constrained optimization, under appropriate constraint qualifications. 展开更多
关键词 necessary and sufficient conditions generalized convexity nonlinear programming multiobjective programming type functions
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Evaluation of Burden Descent Model for Burden Distribution in Blast Furnace 被引量:5
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作者 Ping ZHOU Peng-yu SHI +3 位作者 Yan-po SONG Kai-le TANG Dong FU Chenn Q.ZHOU 《Journal of Iron and Steel Research International》 SCIE EI CAS CSCD 2016年第8期765-771,共7页
Mathematical models for burden descending process have been applied to obtain whole burden structures in blast furnace,whereas the accuracy of those burden descent models has not been sufficiently investigated.Special... Mathematical models for burden descending process have been applied to obtain whole burden structures in blast furnace,whereas the accuracy of those burden descent models has not been sufficiently investigated.Special evaluation method based on timeline burden profiles was established to quantitatively evaluate the error between experimental and modeled burden structures.Four existing burden descent models were utilized to describe the burden structure of a 1/20 scaled warm blast furnace.Input modeling conditions including initial burden profile,descending volumes in each time interval,and normalized descending velocity distribution were determined via special image processing technology.Modeled burden structures were evaluated combined with the published experimental data.It is found that all the models caught the main profile of the burden structure.Furthermore,the improved nonuniform descent model(Model IV)shows the highest level of precision especially when burden descends with unstable velocity distribution tendency.Meanwhile,the traditional nonuniform descent model(Model III)may also be desirable to model the burden descending process when the burden descending velocity presents a linear tendency.Finally,the uniform descent model(Model I)might be the first option for roughly predicting burden structure. 展开更多
关键词 burden descending descent normalized utilized scaled sufficiently modeled desirable quantitatively
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The Belt and Road: A Path to Community of Shared Future for Mankind 被引量:1
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作者 ZHAO KEJIN 《Contemporary World》 2016年第3期2-7,共6页
The Belt and Road is a concept that goes beyond the century.Whither will it take China?What kind of international order will it create?Such issues are less than sufficiently discussed by the Chinese academic circle an... The Belt and Road is a concept that goes beyond the century.Whither will it take China?What kind of international order will it create?Such issues are less than sufficiently discussed by the Chinese academic circle and can be quite confusing to the international community.Particularly,well-established American think tanks like the Centre for Strategic and International 展开更多
关键词 mankind THINK circle STRATEGIC MODERNIZATION COOPERATION sufficiently mutual institutions beyond
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EXTENDING POMPEIU OPERATOR AND THE COMPACTNESS OF SOLUTION SET FOR A CLASS OF HIGHER ORDER PARTIAL DIFFERENTIAL EQUATIONS
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作者 陈冬贵 《四川师范大学学报(自然科学版)》 CAS CSCD 1991年第1期3-4,共2页
This paper discusses chiefly the compactness of solution set of following equationswhere △ is the Laplacian in Sobolev’s sense, a;(x),i= 0,1,…n, n≥ 3, are real square matrices of dimen-sion N×V , bounded an... This paper discusses chiefly the compactness of solution set of following equationswhere △ is the Laplacian in Sobolev’s sense, a;(x),i= 0,1,…n, n≥ 3, are real square matrices of dimen-sion N×V , bounded and measurable in a bounded multiply connected domain Ω, the boundary S is as-sumed to be sufficiently smooth, u(x) is unknown vector, z = (x<sub>1</sub>,x<sub>2</sub>,…,x<sub>n</sub>) Ω R<sup>z</sup>,m≥1,|S<sub>1</sub>|issuperficial measure of the unit sphere of R<sup>Z</sup>, |i|=i<sub>1</sub>+ i<sub>2</sub> +… + i., △<sup>m</sup>=△(△<sup>m-1</sup>). ,(Ω), ,(Ω), … denote the classes of vectors or matrices whose elements belong to L,(Ω),W,(Ω),…. A vector or a matrix is said to be continuous differentiable, bounded and measurable if so are its ele- 展开更多
关键词 measurable LAPLACIAN matrices DIFFERENTIABLE CLASS connected COMPACTNESS multiply sufficiently 子一
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A CLASS OF BOUNDARY VALUE PROBLEMS OF SINGULARLY PERTURBED EQUATION WITH TURNING POINT
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作者 茹学萍 《四川师范大学学报(自然科学版)》 CAS CSCD 1991年第1期54-54,共1页
We consider the existence and asymptotic behavior of singularly perturbed boundary value problem;εX″= b(X,t)X′,t ∈(0, 1)(1)X(0) =α, X(1) =β, (2)where, ε】0, is a sufficiently small parameter, b(X,t... We consider the existence and asymptotic behavior of singularly perturbed boundary value problem;εX″= b(X,t)X′,t ∈(0, 1)(1)X(0) =α, X(1) =β, (2)where, ε】0, is a sufficiently small parameter, b(X,t) is continuous in R×[0,1 ],α,βare prescribedboundary condition, and there is a function X<sub>0</sub>(t) satisfying the implicit equation b[X<sub>0</sub>(t),t] 0t∈[0,1 ].Boundary value problem in this case is rarely studied by other mathematician, the auther has ever dis-cussed the autonomous equation corresponding the boundary value problem (1),(2). Generally speaking,the solution of the corresponding problem has boundary layer at each end of the time interval [0 ,1] , itsinner solution is commposed by one or several constant function, these constant is the zero point of the au- 展开更多
关键词 MATHEMATICIAN satisfying SPEAKING autonomous CLASS asymptotic PERTURBED sufficiently implicit singularly
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Particle-in-Cell Simulations of Fast Magnetic Reconnection in Laser-Plasma Interaction
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作者 ZHANG Ze-Chen LU Quan-Ming +6 位作者 DONG Quan-Li LU San HUANG Can WU Ming-Yu SHENG Zheng-Ming WANG Shui ZHANG Jie 《Chinese Physics Letters》 SCIE CAS CSCD 2013年第4期122-125,共4页
Recent experiments have observed magnetic reconnection in laser-produced high-energy-density(HED)plasma bubbles.We perform two-dimensional(2-D)particle-in-cell(PIC)simulations to investigate magnetic reconnection betw... Recent experiments have observed magnetic reconnection in laser-produced high-energy-density(HED)plasma bubbles.We perform two-dimensional(2-D)particle-in-cell(PIC)simulations to investigate magnetic reconnection between two approaching HED plasma bubbles.It is found that the expanding velocity of the bubbles has a great influence on the process of magnetic reconnection.When the expanding velocity is small,a single X line reconnection is formed.However,when the expanding velocity is sufficiently large,we can observe a plasmoid in the vicinity of the X line.At the same time,the structures of the electromagnetic field in HED plasma reconnection are similar to that in Harris current sheet reconnection. 展开更多
关键词 EXPANDING APPROACHING sufficiently
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Analysis and Control of Two-Layer Frenkel–Kontorova Model
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作者 TANG Wen-Yan QU Zhi-Hua GUO Yi 《Chinese Physics Letters》 SCIE CAS CSCD 2011年第11期12-15,共4页
A one-dimensional two-layer Frenkel–Kontorova model is studied.Firstly,a feedback tracking control law is given.Then,the boundedness result for the error states of single particles of the model is derived using the L... A one-dimensional two-layer Frenkel–Kontorova model is studied.Firstly,a feedback tracking control law is given.Then,the boundedness result for the error states of single particles of the model is derived using the Lyapunov Method.Especially,the motion of single particles can be approximated analytically for the case of sufficiently large targeted velocity.Simulations illustrate the accuracy of the derived results. 展开更多
关键词 METHOD BOUNDEDNESS sufficiently
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Optimizing the Roadmap to Carbon Neutrality with a New Paradigm
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作者 Wen Lai Huang Jinghai Li 《Engineering》 SCIE EI 2021年第12期1678-1679,共2页
1.Introduction Formulating an optimal roadmap to realizing the goals of peak carbon dioxide emissions and carbon neutrality calls for a systemic analysis of mesoscale structures at multiple levels and of their governi... 1.Introduction Formulating an optimal roadmap to realizing the goals of peak carbon dioxide emissions and carbon neutrality calls for a systemic analysis of mesoscale structures at multiple levels and of their governing multiobjective mechanisms within different sectors and fields.However,the analyses currently available are mostly based on traditional approaches,which have not considered different levels of complexity and heterogeneity sufficiently,or have not accounted for multiple objectives sufficiently reasonably.In this perspective article,we attempt to figure out a new framework for dealing with this challenging issue within a totally different paradigm for multiscale complex systems,in which such a global challenge and the paradigm shift in science need to be addressed jointly. 展开更多
关键词 sufficiently totally dealing
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When 2D Materials Encounter Disorder
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作者 刘磊 《Chinese Physics Letters》 SCIE EI CAS CSCD 2023年第5期58-58,共1页
Back to the 1950s,Anderson revealed the absence of wave diffusion,i.e.,Anderson localization,in a sufficiently disordered media,marking the start of electron transport research in non-periodic lattices.[1]In a simplif... Back to the 1950s,Anderson revealed the absence of wave diffusion,i.e.,Anderson localization,in a sufficiently disordered media,marking the start of electron transport research in non-periodic lattices.[1]In a simplified theoretical model,one critical order parameter was proposed to determine the boundary of electron delocalization。 展开更多
关键词 simplified sufficiently ABSENCE
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The Taylor Moon
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作者 Wei-dong Sun 《Acta Geochimica》 EI CAS CSCD 2016年第1期14-14,共1页
The formation of the Moon remains obscure after*400 years since Galileo saw that the Moon was mountainous in 1609.The current hypothesis is that the Moon formed through a low-angle collision between the Earth and Mar... The formation of the Moon remains obscure after*400 years since Galileo saw that the Moon was mountainous in 1609.The current hypothesis is that the Moon formed through a low-angle collision between the Earth and Mar-size impactor,which is known as the Giant Impact model(e.g.Benz et al.1989).The giant impact should be sufficiently 展开更多
关键词 Galileo collision obscure Giant hypothesis mountainous sufficiently giant likely volatile
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最新测井专利·(外国专利)
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《国外测井技术》 2020年第1期13-13,22,79,共3页
专利名称:Collocation of radiation generator components for limited-space devices1(中文译名:有限空间装置用辐射发生器部件的配置1)专利申请号:US201514975640申请日:2015.12.18公开号:US10116232B2公开日:2018.10.30申请人:SCHLU... 专利名称:Collocation of radiation generator components for limited-space devices1(中文译名:有限空间装置用辐射发生器部件的配置1)专利申请号:US201514975640申请日:2015.12.18公开号:US10116232B2公开日:2018.10.30申请人:SCHLUMBERGER TECHNOLOGY CORP;A compact radiation generator for use in a downhole well-logging tool is disclosed.The compact radiation generator comprises a housing with a cavity,a linear acceleration tube in the cavity that generates radiation when supplied with a sufficiently high voltage,and a first voltage multiplier ladder in the cavity configured to supply the sufficiently high voltage to the acceleration tube.The first voltage multiplier ladder is folded into two linear parts that are collocated to each other. 展开更多
关键词 GENERATOR ACCELERATION sufficiently
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Mechanical model of water inrush from coal seam floor based on triaxial seepage experiments 被引量:35
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作者 Yihui Pang Guofa Wang Ziwei Ding 《International Journal of Coal Science & Technology》 EI CAS 2014年第4期428-433,共6页
In order to study the mechanism of confined water inrush from coal seam floor,the main influences on permeability in the process of triaxial seepage experiments were analyzed with methods such as laboratory experiment... In order to study the mechanism of confined water inrush from coal seam floor,the main influences on permeability in the process of triaxial seepage experiments were analyzed with methods such as laboratory experiments,theoretical analysis and mechanical model calculation.The crack extension rule and the ultimate destruction form of the rock specimens were obtained.The mechanism of water inrush was explained reasonably from mechanical point of view.The practical criterion of water inrush was put forward.The results show that the rock permeability "mutation" phenomenon reflects the differences of stress state and cracks extension rate when the rock internal crack begins to extend in large-scale.The rock ultimate destruction form is related to the rock lithology and the angle between crack and principal stress.The necessary condition of floor water inrush is that the mining pressure leads to the extension and transfixion of the crack.The sufficient condition of floor water inrush is that the confined water’s expansionary stress in normal direction and shear stress in tangential direction must be larger than the internal stress in the crack.With the two conditions satisfied at the same time,the floor water inrush accident will occur. 展开更多
关键词 Triaxial permeability experiment Floor water innush model Floor water inrush mechanism Necessary and sufficient conditions of water inrush
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Optimal vector-valued intensity measure for seismic collapse assessment of structures 被引量:5
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作者 Masood Yakhchalian Ahmad Nicknam Gholamreza Ghodrati Amiri 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2015年第1期37-54,共18页
The present study is aimed to investigate the ability of different intensity measures (IMs), including response spectral acceleration at the fundamental period of the structure, Sa(T1), as a common scalar IM and t... The present study is aimed to investigate the ability of different intensity measures (IMs), including response spectral acceleration at the fundamental period of the structure, Sa(T1), as a common scalar IM and twelve vector-valued IMs for seismic collapse assessment of structures. The vector-valued IMs consist of two components, with S(T1) as the first component and different parameters that are ratios of scalar IMs, as well as the spectral shape proxies εSa and N, as the second component. After investigating the properties of an optimal IM, a new vector-valued IM that includes the ratio of Sa(T1) to the displacement spectrum intensity (DSI) as the second component is proposed. The new IM is more efficient than other IMs for predicting the collapse capacity of structures. It is also sufficient with respect to magnitude, source-to-site distance, and scale factor for collapse capacity prediction of structures. To satisfy the predictability criterion, a ground motion prediction equation (GMPE) is determined for Sa(T1)/DSI by using the existing GMPEs. Furthermore, an empirical equation is proposed for obtaining the correlation between the components of the proposed IM. The results of this study show that using the new vector-valued IM leads to a more reliable seismic collapse assessment of structures. 展开更多
关键词 intensity measure efficiency SUFFICIENCY displacement spectrum intensity collapse capacity fragility surface
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Near optimal condition of OMP algorithm in recovering sparse signal from noisy measurement 被引量:5
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作者 Jia Li Qiang Wang Yi Shen 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2014年第4期547-553,共7页
This paper analyzes the performance of the orthogonal matching pursuit (OMP) algorithm in recovering sparse signals from noisy measurement. Considering the fact that some matrices satisfy some restricted isometry pr... This paper analyzes the performance of the orthogonal matching pursuit (OMP) algorithm in recovering sparse signals from noisy measurement. Considering the fact that some matrices satisfy some restricted isometry properties (RIPs) but not the coherence condition, a superior RIP-based condition is proposed, which means that if the measurement matrix satisfies δk+1 〈 1/(2 + √k) and the minimum component signal-to-noise ratio (MCSNR) is bounded, the OMP algorithm can exactly identify the support of the original sparse signal within k iterations. Finally, the theoretical results are verified by numerical simulations con- cerning different values of MCSNR and noise levels. 展开更多
关键词 compressive sensing (CS) orthogonal matching pur-suit (OMP) measurement matrix sufficient condition.
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