3 papers
math.OC2024
Existence of Solutions for the Continuous Algebraic Riccati Equation via Polynomial Optimization
Juan Zhang, Wenjie Zhao
This paper studies the solution existence of the continuous-time algebraic Riccati equation (CARE). We formulate the CARE as two constrained polynomial optimization problems, and t…
math.NA2024
A preconditioned iteration method for solving saddle point problems
Juan Zhang, Yiyi Luo
This paper introduces a preconditioned method designed to comprehensively address the saddle point system with the aim of improving convergence efficiency. In the preprocessor cons…
math.NA2024
Preprocessed GMRES for fast solution of linear equations
Juan Zhang, Yiyi Luo
The article mainly introduces preprocessing algorithms for solving linear equation systems. This algorithm uses three algorithms as inner iterations, namely RPCG algorithm, ADI alg…