Preconditioners based on matrix splitting for the structured systems from elliptic PDE-constrained optimization problems

DOI10.1016/J.AMC.2023.128341MaRDI QIDQ6069364

Xin-yun Zhu, Yajing Li, Hongbing Zhang, Hong-tao Fan

Publication date: 14 November 2023

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

eigenvalue distributionpreconditionermatrix splittingpreconditioned GMRESelliptic PDE-constrained optimization problems

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Numerical methods for mathematical programming, optimization and variational techniques (65Kxx)

Cites Work

• Unnamed Item
• Block preconditioners for elliptic PDE-constrained optimization problems
• Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix
• A relaxed splitting preconditioner for generalized saddle point problems
• Preconditioning techniques for large linear systems: A survey
• Some preconditioners for elliptic PDE-constrained optimization problems
• Generalized conjugate direction algorithm for solving generalized coupled Sylvester transpose matrix equations over reflexive or anti-reflexive matrices
• A modified relaxed splitting preconditioner for generalized saddle point problems from the incompressible Navier-Stokes equations
• On the Solution of Equality Constrained Quadratic Programming Problems Arising in Optimization
• A new approximation of the Schur complement in preconditioners for PDE-constrained optimization
• A splitting preconditioner for saddle point problems
• Optimal Solvers for PDE-Constrained Optimization
• Block-triangular preconditioners for PDE-constrained optimization
• Solution of Sparse Indefinite Systems of Linear Equations
• On SOR-like iteration methods for solving weakly nonlinear systems

This page was built for publication: Preconditioners based on matrix splitting for the structured systems from elliptic PDE-constrained optimization problems