ITERATIVE_METHOD

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A Novel Iterative Method to Find the Moore-Penrose Inverse of a Tensor with Einstein Product
《Numerical Mathematics(Theory,Methods and Applications)》2024年第1期37-68,共32页Raziyeh Erfanifar Masoud Hajarian Khosro Sayevand 
funded by Iran National Science Foundation(INSF)under Project No.4013447.
In this study,based on an iterative method to solve nonlinear equations,a third-order convergent iterative method to compute the Moore-Penrose inverse of a tensor with the Einstein product is presented and analyzed.Nu...
关键词：TENSOR iterative methods Moore-Penrose inverse Einstein product 
A Variant Modified Skew-Normal Splitting Iterative Method for Non-Hermitian Positive Definite Linear Systems
《Numerical Mathematics(Theory,Methods and Applications)》2022年第2期510-529,共20页Rui Li Jun-Feng Yin Zhi-Lin Li 
R.Li is funded by the China Scholarship Council(File No.201808330668);the National Natural Science Foundation of China(Grant No.11701221);J.-F.Yin is funded by the National Natural Science Foundation of China(Grant No.11971354);Z.Li is partially supported by a Simon’s grant 63372.
We propose a variant modified skew-normal splitting iterative method to solve a class of large sparse non-Hermitian positive definite linear systems.Applying the preconditioning technique we also construct the precond...
关键词：Non-Hermitian matrix skew-normal splitting PRECONDITION complex linear system 
A Nonlocal Total Variation Model for Image Decomposition: Illumination and Reflectance被引量：1
《Numerical Mathematics(Theory,Methods and Applications)》2014年第3期334-355,共22页Wei Wang Michael K.Ng 
supported by the National Natural Science Foundation of China(Grant No.11201341);China Postdoctoral Science Foundation funded project(No.2012M511126 and No.2013T60459);supported by RGC GRF Grant Number 202013;HKBU FRG Grant Number FRG/12-13/065.
In this paper,we study to use nonlocal bounded variation(NLBV)techniques to decompose an image intensity into the illumination and reflectance components.By considering spatial smoothness of the illumination component...
关键词：Image decomposition ILLUMINATION reflectance nonlocal total variation iterative method 
An Adaptive Strategy for the Restoration of Textured Images using Fractional Order Regularization被引量：1
《Numerical Mathematics(Theory,Methods and Applications)》2013年第1期276-296,共21页R.H.Chan A.Lanza S.Morigi F.Sgallari 
This work has been partially supported by MIUR-Prin 2008,ex60%project by University of Bologna"Funds for selected research topics"and by GNCS-INDAM.
Total variation regularization has good performance in noise removal and edge preservation but lacks in texture restoration.Here we present a texture-preserving strategy to restore images contaminated by blur and nois...
关键词：Ill-posed problem DEBLURRING fractional order derivatives regularizing iterative method 
New Estimates for the Rate of Convergence of the Method of Subspace Corrections被引量：1
《Numerical Mathematics(Theory,Methods and Applications)》2008年第1期44-56,共13页Durkbin Cho Jinchao Xu Ludmil Zikatanov 
We discuss estimates for the rate of convergence of the method of successive subspace corrections in terms of condition number estimate for the method of parallel subspace corrections.We provide upper bounds and in a ...
关键词：Method of subspace corrections preconditioning convergence rate of linear iterative method 
A NOTE ON COMPARISON THEOREM OF TWO-STAGE ITERATIVE METHOD FOR HERMITIAN POSITIVE DEFINITE LINEAR SYSTEMS被引量：1
《Numerical Mathematics A Journal of Chinese Universities(English Series)》2003年第1期59-65,共7页王川龙 王艳萍 
This work is supported by NSF of Shanxi province,20011041.
We discuss two-stage iterative methods for the solution of linear systemAx = b, and give a new proof of the comparison theorems of two-stage iterative methodfor an Hermitian positive definite matrix. Meanwhile, we put...
关键词：Hermitian正定线性系统 HERMITIAN矩阵 正定矩阵 二阶迭代法 比较定理 
AN ITERATIVE METHOD FOR THE MINIMAX PROBLEM
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1995年第2期237-239,共3页祁立群 孙文瑜 
In this paper a class of iterative methods for the minimax problem i; proposed.We present a sequence of the extented linear-quadratic programming (ELQP) problems as subproblems of the original minimal problem and solv...
关键词：MINIMAX problem MATHEMATICAL PROGRAMMING linear-quadratic PROGRAMMING CONVERGENCE 
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