activity
20182023
most citedOn the Polyak momentum variants of the greedy deterministic single and multiple row-action methods

11 citations · 33 across the 7 of their papers we have counts for

collaborators

7 papers

math.NA2023

On the relaxed greedy randomized Kaczmarz methods with momentum acceleration for solving matrix equation AXB=C

Nian-Ci Wu, Yang Zhou, Zhaolu Tian

With the growth of data, it is more important than ever to develop an efficient and robust method for solving the consistent matrix equation AXB=C. The randomized Kaczmarz (RK) met…

math.NA2022★ 5 cited

Randomized progressive iterative approximation for B-spline curve and surface fittings

Nian-Ci Wu, Chengzhi Liu

For large-scale data fitting, the least-squares progressive iterative approximation is a widely used method in many applied domains because of its intuitive geometric meaning and e…

math.NA2022★ 11 cited

On the Polyak momentum variants of the greedy deterministic single and multiple row-action methods

Nian-Ci Wu, Qian Zuo, Yatian Wang

For solving a consistent system of linear equations, the classical row-action (also known as Kaczmarz) method is a simple while really effective iteration solver. Based on the gree…

math.NA2022★ 8 cited

Asynchronous progressive iterative approximation method for least-squares fitting

Nian-Ci Wu, Cheng-Zhi Liu

For large-scale data fitting, the least-squares progressive-iterative approximation (LSPIA) methods were proposed by Lin et al. (SIAM Journal on Scientific Computing, 2013, 35(6):A…

math.NA2022★ 3 cited

On the extended randomized multiple row method for solving linear least-squares problems

Nian-Ci Wu, Chengzhi Liu, Yatian Wang +1

The randomized row method is a popular representative of the iterative algorithm because of its efficiency in solving the overdetermined and consistent systems of linear equations.…

math.NA2022★ 6 cited

On the relaxed greedy deterministic row and column iterative methods

Nian-Ci Wu, Ling-Xia Cui, Qian Zuo

For solving the large-scale linear system by iteration methods, we utilize the Petrov-Galerkin conditions and relaxed greedy index selection technique and provide two relaxed greed…

math.NA2018

Randomized QLP algorithm and error analysis

Nianci Wu, Hua Xiang

In this paper, we describe the randomized QLP (RQLP) algorithm and its enhanced version (ERQLP) for computing the low rank approximation to of size efficiently such…