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Projection Algorithms for Variational Inclusions [PDF]
Journal of Applied Mathematics, 2012 We present a projection algorithm for finding a solution of a variational inclusion problem in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a solution of the variational inclusion problem which ...
Youli Yu +2 more
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Coordinate Descent Iterations in Pseudo Affine Projection Algorithm [PDF]
2005 IEEE International Symposium on Circuits and Systems, 2005 This paper introduces a new affine projection algorithm based on the dichotomous coordinate descent algorithm. A generalization for simplified Volterra filters is also made and its stability is improved by using a voice activity detector. The performance of the proposed algorithms for acoustic echo cancellation is assessed.
F. Albu, C. Kotropoulos
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Projection regularization algorithm for solving linear algebraic system of large dimension
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010 The iterative projection algorithm for solving ill-posed systems of linear algebraic equations is examined. This algorithm is based on transforming the regularized normal equations to the equivalent augmented regularized normal system of equations.
Alexander I Zhdanov, Audrey A Ivanov
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Abstract and Applied Analysis, 2014 We first introduce and analyze one multistep iterative algorithm by hybrid shrinking projection method for finding a solution of the system of generalized equilibria with constraints of several problems: the generalized mixed equilibrium problem ...
Lu-Chuan Ceng +3 more
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Advances in Difference Equations, 2020 Iterative algorithms are widely applied to solve convex optimization problems under a suitable set of constraints. In this paper, we develop an iterative algorithm whose architecture comprises a modified version of the forward-backward splitting ...
Yasir Arfat +3 more
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A Convergent Solution to Matrix Bidirectional Projection Based Feature Extraction with Application to Face Recognition [PDF]
International Journal of Computational Intelligence Systems, 2011 Recently, many feature extraction methods, which are based on the matrix representation of image and matrix bidirectional projection technique, are proposed.
Yubin Zhan, Jianping Yin, Xinwang Liu
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Journal of Applied Mathematics, 2014 We introduce and analyze one iterative algorithm by hybrid shrinking projection method for finding a solution of the minimization problem for a convex and continuously Fréchet differentiable functional, with constraints of several problems: finitely many
Lu-Chuan Ceng +3 more
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Sensors, 2020 Low dose computed tomography (CT) has drawn much attention in the medical imaging field because of its ability to reduce the radiation dose. Recently, statistical iterative reconstruction (SIR) with total variation (TV) penalty has been developed to low ...
Junfeng Wu +4 more
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Journal of Inequalities and Applications, 2021 In this paper, we propose a new iterative algorithm for solving the multiple-sets split feasibility problem (MSSFP for short) and the split equality fixed point problem (SEFPP for short) with firmly quasi-nonexpansive operators or nonexpansive operators ...
Tongxin Xu, Luoyi Shi
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Projected iterative algorithms with application to multicomponent transport
Linear Algebra and its Applications, 1997 Projected iterative algorithms for solving constrained symmetric singular linear systems are examined. The symmetry of generalized inverses, the projected standard iterative methods as well as projected conjugate gradient algorithms are investigated.
Ern, Alexandre, Giovangigli, Vincent
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