DIAGONALIZATION

作品数:36被引量:18H指数:2
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相关领域:理学电子电信更多>>
相关作者:陈育森郭学军宋光天王芳李晋华更多>>
相关机构:福建师范大学中国科学技术大学山西省光电信息与仪器工程技术研究中心更多>>
相关期刊:《Communications in Computational Physics》《Chinese Journal of Electronics》《Science Bulletin》《Applied Mathematics》更多>>
相关基金:国家自然科学基金国家重点基础研究发展计划福建省自然科学基金山西省自然科学基金更多>>
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Weakly Approximate Diagonalization of Homomorphisms into Finite von Neumann Algebras
《Acta Mathematica Sinica,English Series》2024年第9期2187-2194,共8页Wen Hua QIAN Jun Hao SHEN Wen Ming WU 
supported by the Natural Science Foundation of Chongqing Science and Technology Commission(Grant No.cstc2020jcyj-msxmX0723);the Research Foundation of Chongqing Educational Committee(Grant No.KJQN2021000529);supported by the National Natural Science Foundation of China(Grant Nos.11871127,11971463)。
Let A be a unital C^(∗)-algebra and B a unital C^(∗)-algebra with a faithful traceτ.Let n be a positive integer.We give the definition of weakly approximate diagonalization(with respect toτ)of a unital homomorphism...
关键词:Weakly approximately diagonalizable McDuff factors NUCLEAR hyperfinite 
The Infinity Tree: Representing Infinities of Real Numbers with Countably Infinite Tree Structures
《Advances in Pure Mathematics》2023年第4期198-205,共8页Philip C. Jackson 
This paper discusses how the infinite set of real numbers between 0 and 1 could be represented by a countably infinite tree structure which would avoid Cantor’s diagonalization argument that the set of real numbers i...
关键词:INFINITY Countable DIAGONALIZATION Real Numbers Tree Structure Infinity Tree Continuum Hypothesis 
A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques
《Communications in Computational Physics》2023年第2期511-537,共27页Jiachuan Zhang Ran Zhang Xiaoshen Wang 
the Natural Science Foundation of Jiangsu Province(No.BK20210540);the Natural Science Foundation of The Jiangsu Higher Education Institutions of China(No.21KJB110015);the National Key Research and Development Program of China(grant no.2020YFA0713601).
Based on the auxiliary subspace techniques,a posteriori error estimator of nonconforming weak Galerkin finite element method(WGFEM)for Stokes problem in two and three dimensions is presented.Without saturation assumpt...
关键词:Auxiliary subspace techniques diagonalization techniques weak Galerkin A posteriori error estimate Stokes problem. 
State of Charge Estimation for Lithium-Ion Battery Based on Improved Cubature Kalman Filter Algorithm被引量:1
《Automotive Innovation》2021年第2期189-200,共12页Guochun Li Chang Liu Enlong Wang Limei Wang 
the National Natural Science Foundation of China(52072155,51707084);the Six Talent Peaks Project in Jiangsu Province(2018-XNYQC-004);the Open Research Subject of Key Laboratory of Automotive Measurement and Control and Safety(QCCK2020-009);the Natural Science Research Project of Jiangsu Higher Education Institutions(19KJB470013);the Young Talent Cultivation Project of Jiangsu University.
An improved cubature Kalman filter(CKF)algorithm for estimating the state of charge of lithium-ion batteries is proposed.This improved algorithm implements the diagonalization decomposition of the covariance matrix an...
关键词:Lithium-ion battery State of charge Cubature Kalman filter Strong tracking filter Covariance matrix diagonalization decomposition 
Delta-Davidson method for interior eigenproblem in many-spin systems
《Chinese Physics B》2021年第3期140-150,共11页Haoyu Guan Wenxian Zhang 
Project supported by the National Natural Science Foundation of China(Grant Nos.91836101,U1930201,and 11574239).
Many numerical methods,such as tensor network approaches including density matrix renormalization group calculations,have been developed to calculate the extreme/ground states of quantum many-body systems.However,litt...
关键词:numerical exact method interior eigenvalue delta function filter subspace diagonalization 
Analysis of a Composition Operator’s Eigenvalue Equation on Unitary Spaces by the Krein-Rutman Theorem
《Applied Mathematics》2020年第2期76-83,共8页A.N.M.Rezaul Karim 
The Krein-Rutman theorem is vital in partial differential equations that are non-linear and provides evidence of the presence of several significant eigenvalues useful in topological degree calculations, stability ana...
关键词:Krein-Rutman Theorem Unitary Space Bounded Solutions DIAGONALIZATION Schroder Equation 
Some Applications of Lawvere’s Fixpoint Theorem
《Frontiers of Philosophy in China》2019年第3期490-510,共21页LI Xi 
The famous diagonal argument plays a prominent role in set the ory as well as in the proof of undecidability results in computability the ory and incompleteness results in metamathematics.Lawvere(1969)brings to light ...
关键词:PARADOX FIXPOINT DIAGONALIZATION combinator 
Block Decompositions and Applications of Generalized Reflexive Matrices
《Advances in Linear Algebra & Matrix Theory》2018年第3期122-133,共12页Hsin-Chu Chen 
Generalize reflexive matrices are a special class of matrices ?that have the relation where? and ?are some generalized reflection matrices. The nontrivial cases ( or ) of this class of matrices occur very often in man...
关键词:GENERALIZED REFLEXIVE MATRICES REFLEXIVE MATRICES CENTROSYMMETRIC MATRICES GENERALIZED SIMULTANEOUS DIAGONALIZATION SIMULTANEOUS DIAGONALIZATION Linear Least-Square Problems 
Comparison of Two Simulation Methods in Electron Crystallography: BW Method and a Modified Direct Product Method of Scattering Matrix
《Journal of Materials Science & Technology》2017年第2期210-214,共5页Yi Yang Canying Cai Qibin Yang 
supported by the National Natural Science Foundation of China (Grant Nos. 11274263 and 11274264)
In this paper, a modified direct product method of scattering matrix (DPSM) was presented and the cal- culation formulawas derived as follows: φ(z)=∑n1/n!(Mz)nφ(O)and φ(z+εj)=∑n1/n!(Mεj)nφ(z),...
关键词:Electron crystallography Image simulation Bethe potential method Matrix diagonalization 
Identification of indoor multi-component pollution gas aliasing peak based on JADE
《Journal of Measurement Science and Instrumentation》2016年第1期24-29,共6页王芳 李晋华 
National Natural Science Foundation of China(No.61127015)
Monitoring indoor harmful gas can obtain the infrared spectra of mixed harmful gases.Since the absorption bands of mixed gases overlap and their qualitative and quantitative analyses are not easy,feature extraction me...
关键词:aliasing peak identification joint approximative diagonalization of eigenmatrix(JADE) quantitative analysis sup-port vector machine(SVM) 
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