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Iterative Methods for Total Variation Denoising
SIAM Journal on Scientific Computing, 1996The paper is concerned with computing the minimization of the total variation (TV)-penalized least squares functional. A fixed point algorithm is presented and compared with other minimization schemes. This is an alternative approach to minimizing the functional considered in the paper, called ``lagged diffusivity fixed point iteration'' and denoted by
Curtis R. Vogel, Mary E. Oman
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A new iterative method for variational inequalities
Applied Mathematics and Computation, 2006The paper presents a new iterative method for variational inequalities. The solution of the elliptic variational inequality (by the projection technique) is equivalent to a fixed point problem. This alternative formulation has played a fundamental and significant part in developing several numerical methods for solving variational inequalities and ...
Abdellah Bnouhachem, Muhammad Aslam Noor
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Iterative methods for variational and complementarity problems
Mathematical Programming, 1982In this paper, we study both the local and global convergence of various iterative methods for solving the variational inequality and the nonlinear complementarity problems. Included among such methods are the Newton and several successive overrelaxation algorithms.
Jong-Shi Pang, Donald Chan
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On the variational iteration method
Physics Letters A, 2007In this Letter, we will consider He's variational iteration method with considering Adomian's polynomials for finding approximate and exact solutions of some nonlinear equations. Two models of interest in mathematical physics are considered and solved by means of variational iteration method.
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Variations of the GMRES iterative method
Applied Numerical Mathematics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kincaid, David R. +2 more
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Relaxed extragradient iterative methods for variational inequalities
Applied Mathematics and Computation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu-Chuan Ceng +2 more
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Modified variational iteration method
Physics Letters A, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Direct iteration-variation method for scattering problems
Physical Review A, 1986We propose a direct iterative-variational scheme to solve the large sets of coupled integro-differential equations that arise in a variety of atomic and molecular scattering problems. The method, which is similar to direct configuration-interaction schemes of quantum chemistry, is applied within the linear algebraic (LA) prescription and involves the ...
, Schneider, , Collins
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The Optimal Variational Iteration Method
2011The variational iteration method was proposed by J. H. He in 1999 [153–155]. The method introduces a reliable and efficient process for a wide variety of scientific and engineering applications, linear and nonlinear, homogeneous or inhomogeneous, equations and systems of equations as well.
Vasile Marinca, Nicolae Herisanu
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