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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

On Polar Decomposition of Tensors with Einstein Product and a Novel Iterative Parametric Method: 《Numerical Mathematics(Theory,Methods and Applications)》2024年第1期69-92,共24页Raziyeh Erfanifar Masoud Hajarian Khosro Sayevand; funded by Iran National Science Foundation(INSF)under project No.4013447.; This study aims to investigate the polar decomposition of tensors with the Einstein product for theﬁrst time.The polar decomposition of tensors can be computed using the singular value decomposition of the tensors wit...; 关键词：Iterative methods Einstein product polar decomposition of a tensor polar factor order of convergence

Stochastic Gradient Descent for Linear Systems with Missing Data: 《Numerical Mathematics(Theory,Methods and Applications)》2019年第1期1-20,共20页Anna Ma Deanna Needell; Needell was partially supported by NSF CAREER Grant No.1348721,NSF BIGDATA 1740325;the Alfred P.Sloan Fellowship.Ma was supported in part by NSF CAREER Grant No.1348721,the CSRC Intellisis Fellowship;the Edison Interna-tional Scholarship.; Traditional methods for solving linear systems have quickly become imprac-tical due to an increase in the size of available data.Utilizing massive amounts of data is further complicated when the data is incomplete or ...; 关键词：Linear systems missing data iterative methods least squares problems

Iterative Methods of Richardson-Lucy-Type for Image Deblurring被引量：1: 《Numerical Mathematics(Theory,Methods and Applications)》2013年第1期262-275,共14页M.K.Khan S.Morigi L.Reichel F.Sgallari; We would like to thank the referees for comments.This work was supported by PRIN-MIUR-Cofin 2008 project,GNCS-INDAM,an OBR Research Challenge Grant,and NSF grant DMS-1115385.; Image deconvolution problems with a symmetric point-spread function arisein many areas of science and engineering. These problems often are solved by theRichardson-Lucy method, a nonlinear iterative method. We first s...; 关键词：Constrained ill-posed problem NONNEGATIVITY active set method image restoration

Quadrature Based Optimal Iterative Methods with Applications in High-Precision Computing: 《Numerical Mathematics(Theory,Methods and Applications)》2012年第4期592-601,共10页Sanjay Kumar Khattri; We present a simple yet effective and applicable scheme,based on quadrature,for constructing optimal iterative methods.According to the,still unproved,Kung-Traub conjecture an optimal iterative method based on n+1 eva...; 关键词：Iterative methods fourth order eighth order QUADRATURE NEWTON convergence nonlinear OPTIMAL

ML(n)BiCGStab: Reformulation, Analysis and Implementation: 《Numerical Mathematics(Theory,Methods and Applications)》2012年第3期447-492,共46页Man-Chung Yeung; supported by 2008 Flittie Sabbatical Augmentation Award,University of Wyoming.; With the aid of index functions,we re-derive the ML(n)BiCGStab algorithm in[Yeung and Chan,SIAM J.Sci.Comput.,21(1999),pp.1263-1290]systematically.There are n ways to define the ML(n)BiCGStab residual vector.Each defi...; 关键词：CGS BiCGStab ML(n)BiCGStab multiple starting Lanczos Krylov subspace iterative methods linear systems

Fast Solvers of Fredholm Optimal Control Problems: 《Numerical Mathematics(Theory,Methods and Applications)》2010年第4期431-448,共18页Mario Annunziato Alfio Borzi; The formulation of optimal control problems governed by Fredholm integral equations of second kind and an efficient computational framework for solving these control problems is presented. Existence and uniqueness of ...; 关键词：Optimal control theory Fredholm integral equations of second kind iterative methods

Preconditioners for Incompressible Navier-Stokes Solvers被引量：2: 《Numerical Mathematics(Theory,Methods and Applications)》2010年第3期245-275,共31页A.Segal M.ur Rehman C.Vuik; In this paper we give an overview of the present state of fast solvers for the solution of the incompressible Navier-Stokes equations discretized by the finite element method and linearized by Newton or Picard's metho...; 关键词：Navier-Stokes equations finite element method block preconditioners SIMPLE-typeschemes iterative methods incompressible fluids.

Spectral Analysis for HSS Preconditioners被引量：3: 《Numerical Mathematics(Theory,Methods and Applications)》2008年第1期57-77,共21页Lung Chak Chan Michael K. Ng Nam Kiu Tsing; In this paper,we are interested in HSS preconditioners for saddle point lin- ear systems with a nonzero(2,2)-th block.We study an approximation of the spectra of HSS preconditioned matrices and use these results to il...; 关键词：Saddle point problems iterative methods PRECONDITIONING EIGENVALUES

PARALLEL SEMI ITERATIVE AND ITERATIVE METHODS FOR SINGULAR M-MATRICES: 《Numerical Mathematics A Journal of Chinese Universities(English Series)》1996年第1期20-30,共11页王川龙游兆永; This paper praidrs a theurvtheal hasts for establishing the congergente of paraled interative and itratiee techaigues,for computing nmtrfied solution of Ar three A is a singal M-matrix,These results do not assuine A t...; 关键词：SINGULAR M matrie PARALLEL multis pluting METHOD SEMI iterutive METHOD

ITERATIVE_METHODS