Eigenvalue Estimates for Preconditioned Nonsymmetric Saddle Point Matrices

DOI10.1137/100783509zbMath1210.65082OpenAlexW1965080817MaRDI QIDQ3079754

Shu-Qian Shen, Juan Yu, Ting-Zhu Huang

Publication date: 2 March 2011

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100783509

zbMATH Keywords

preconditionereigenvalue estimateHermitian and skew-Hermitian splittingSaddle point problem

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Inequalities involving eigenvalues and eigenvectors (15A42) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items (10)

A note on PSS preconditioners for generalized saddle point problems ⋮ Semi-global exponential stability of augmented primal-dual gradient dynamics for constrained convex optimization ⋮ Some new estimates on the complex eigenvalues of the HSS preconditioned matrix ⋮ Spectral analysis, properties and nonsingular preconditioners for singular saddle point problems ⋮ Eigenvalue bounds of the shift-splitting preconditioned singular nonsymmetric saddle-point matrices ⋮ A modified generalized shift-splitting method for nonsymmetric saddle point problems ⋮ On eigenvalue perturbation bounds for Hermitian block tridiagonal matrices ⋮ Two new variants of the HSS preconditioner for regularized saddle point problems ⋮ A class of modified DPSS preconditioners for generalized saddle-point linear systems ⋮ On the eigenvalue distribution of preconditioned nonsymmetric saddle point matrices

Uses Software

• IFISS

This page was built for publication: Eigenvalue Estimates for Preconditioned Nonsymmetric Saddle Point Matrices