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INVERTIBILITY: 作品数：33被引量：28H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：陈建龙庄桂芬更多>>; 相关机构：东南大学更多>>; 相关期刊：《Computer Systems Science & Engineering》《Advances in Linear Algebra & Matrix Theory》《Journal of Computer Science & Technology》《Applied Mathematics》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金重庆市自然科学基金中国博士后科学基金更多>>

Generalized Invertibility of Operators through Spectral Sets: 《Advances in Linear Algebra & Matrix Theory》2023年第2期21-35,共15页E. Salgado-Matias S. V. Djordjević G. Kantún-Montiel; If an operator is not invertible, we are interested if there is a subspace such that the reduction of the operator to that subspace is invertible. In this paper we give a spectral approach to generalized inverses cons...; 关键词：Generalized Inverse Matrix Form Resolvent Function Spectral Projection

The Invertibility of Rational Univariate Representations被引量：1: 《Journal of Systems Science & Complexity》2022年第6期2430-2451,共22页XIAO Shuijing ZENG Guangxing; the National Natural Science Foundation of China under Grant No.12161057。; In this paper,the so-called invertibility is introduced for rational univariate representations,and a characterization of the invertibility is given.It is shown that the rational univariate representations,obtained by...; 关键词：INVERTIBILITY polynomial ideal rational univariate representation(RUR) Wu’s method ZERO-DIMENSIONAL

Characterizations for the Core Invertibility and EP-ness Involving Projections: 《Algebra Colloquium》2022年第3期385-404,共20页Honglin Zou Dragana Cvetković-Ilić Jianlong Chen Kezheng Zuo; supported by the National Natural Science Foundation of China(No.11771076,11961076);the Ministry of Science,Technology and Development,Republic of Serbia(No.174007);the China Postdoctoral Science Foundation(No.2020M671281);the Research Project of Hubei Provincial Departmentof Education(No.B2019128).; In this paper we obtain some equivalent conditions for the core invertibility and EP-ness of 1−pq,1−pqp,p−pq and p−q,where p,q are projections in different settings,such as∗-rings,∗-reducing rings and C∗-algebras.More...; 关键词：core inverse PROJECTION EP element RING

On Invertibility of Some Functional Operators with Shift: 《Applied Mathematics》2022年第8期651-657,共7页Aleksandr Karelin Anna Tarasenko Manuel Gonzalez-Hernandez; In this paper, we consider operators arising in the modeling of renewable systems with elements that can be in different states. These operators are functional operators with non-Carlemann shifts and they act in Holde...; 关键词：Operator with a Non-Carlemann Shift Inverse Operator Non-Linear Equation Factorization of Coefficient Equation with Unit Coefficient

The Table Auto-Regressive Moving-Average Model for (Categorical) Stationary Series: Mathematical Perspectives (Invertibility;Maximum Likelihood Estimation): 《Open Journal of Statistics》2022年第3期385-407,共23页Chrysoula Dimitriou-Fakalou; Once invertibility for a causal TARMA series is defined and accompanied by conditions on the probability parameters of the model, all focus concentrates on the maximum likelihood estimators. Under the coexistence of e...; 关键词：Asymptotic Normality CONSISTENCY Scores Efficiency Strict Stationarity

On the Paradox of the Duality of Autoregressive and Moving Average Processes: 《Journal of Applied Mathematics and Physics》2022年第2期589-609,共21页Elechi Onyemachi Iheanyi Sylvester Iwueze Eleazar Chukwunenye Nwogu; A widely held view in time series analysis is the concept of duality that a finite order stationary autoregressive process of order p (AR(p)) is equivalent to an infinite order moving average (MA) process and a finite...; 关键词：DUALITY Non-Duality Method of Moments Quadratic Inequality Stationarity Region Invertibility Region

Motion-Blurred Image Restoration Based on Joint Invertibility of PSFs被引量：1: 《Computer Systems Science & Engineering》2021年第2期407-416,共10页Yuye Zhang Jingli Huang Jiandong Liu Hakeel Ahmed Chohan; funding of Natural Science Foundation of Shandong Province(ZR2013F0025),www.sdnsf.gov.cn.; To implement restoration in a single motion blurred image,the PSF(Point Spread Function)is difficult to estimate and the image deconvolution is ill-posed as a result that a good recovery effect cannot be obtained.Cons...; 关键词：Motion-blurred image restoration PSF invertibility ill-posed problem computational photography

Invertibility of Bergman Toeplitz operators with harmonic polynomial symbols: 《Science China Mathematics》2020年第5期965-978,共14页Nanxing Guan Xianfeng Zhao; supported by the Yunnan Natural Science Foundation(Grant No.201601YA00004);supported by National Natural Science Foundation of China(Grant No.11701052);Chongqing Natural Science Foundation(Grant No.cstc2017jcyjAX0373);the Fundamental Research Funds for the Central Universities(Grant Nos.106112016CDJRC000080 and 106112017CDJXY100007)。; Let p be an analytic polynomial on the unit disk.We obtain a necessary and sufficient condition for Toeplitz operators with the symbol z+p to be invertible on the Bergman space when all coefficients of p are real numb...; 关键词：Bergman space Toeplitz operator harmonic polynomial symbol INVERTIBILITY

WEIGHTED COMPOSITION OPERATORS ON THE HILBERT SPACE OF DIRICHLET SERIES被引量：1: 《Acta Mathematica Scientia》2018年第4期1427-1440,共14页Maofa WANG Xingxing YAO Fangwen DENG; partially supported by NSFC(11771340,11701434,11431011,11471251,11771441); In this paper, we study weighted composition operators on the Hilbert space of Dirichlet series with square summable coefficients. The Hermitianness, Fredholmness and invertibility of such operators are characterized,...; 关键词：weighted composition operator Hermitianness FREDHOLMNESS INVERTIBILITY SPECTRUM

On the Use of Second and Third Moments for the Comparison of Linear Gaussian and Simple Bilinear White Noise Processes: 《Open Journal of Statistics》2018年第3期562-583,共22页Christopher Onyema Arimie Iheanyi Sylvester Iwueze Maxwell Azubuike Ijomah Elechi Onyemachi; The linear Gaussian white noise process (LGWNP) is an independent and identically distributed (iid) sequence with zero mean and finite variance with distribution . Some processes, such as the simple bilinear white noi...; 关键词：White Noise Process NORMALITY Stationarity INVERTIBILITY COVARIANCE Structure

INVERTIBILITY