3 papers
math.NA2025
Mixed Precision General Alternating-Direction Implicit Method for Solving Large Sparse Linear Systems
Jifeng Ge, Bastien Vieublé, Juan Zhang
In this article, we introduce a three-precision formulation of the General Alternating-Direction Implicit method (GADI) designed to accelerate the solution of large-scale sparse li…
math.NA2025
Three-precision iterative refinement with parameter regularization and prediction for solving large sparse linear systems
Jifeng Ge, Juan Zhang
This study presents a novel mixed-precision iterative refinement algorithm, GADI-IR, within the general alternating-direction implicit (GADI) framework, designed for efficiently so…
math.NA2024
Optimization methods for solving matrix equations
Juan Zhang, Xiao Luo
In this paper, we focus on using optimization methods to solve matrix equations by transforming the problem of solving the Sylvester matrix equation or continuous algebraic Riccati…