Smoothing Strategy Along with Conjugate Gradient Algorithm for Signal Reconstruction

A New Smoothing Algorithm to Solve a System of Nonlinear Inequalities

“…, n} [1,2]. The SNI has been emerged in many real-world applications such as image restoration problems, data analysis, supply chain problems, computer aided design problems, compressive sensing problems and set separation problems [2][3][4]. In recent years, motion control involving two-joint planar robotic manipulator are modelled as SNI in [5] and it is faced a problem of SNI in process of designing parallel manipulator for aliquoting of biomaterials [6].…”

A class of improved conjugate gradient methods for nonconvex unconstrained optimization

“…In particular, the proposed method can be used to recover a sparse signal from an incomplete and contaminated sampling measurements. In recent years, many people are particularly interested in the three‐term conjugate gradient methods due to their nice properties 14‐28 . Very recently, Liu et al 29 constructed two three‐term conjugate gradient methods by extending the RMIL method and the MRMIL method.…”

“…In recent years, many people are particularly interested in the three-term conjugate gradient methods due to their nice properties. [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] Very recently, Liu et al 29 constructed two three-term conjugate gradient methods by extending the RMIL method and the MRMIL method. An attractive feature of the proposed methods is that the search direction always satisfies the sufficient descent condition without any line search.…”