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Towards an optimal condition number of certain augmented Lagrangian-type saddle-point matrices

  • Published:2016-04-13 Issue:4 Volume:23 Page:693-705
  • ISSN:1070-5325
  • Container-title:Numerical Linear Algebra with Applications
  • language:en
  • Short-container-title:Numer. Linear Algebra Appl.

Author:

Estrin R.1,Greif C.1

Affiliation:

1. The University of British Columbia; Department of Computer Science; 2366 Main Mall Vancouver V6T 1Z4 BC Canada

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

Wiley

Subject

Applied Mathematics,Algebra and Number Theory

Reference17 articles.

1. On nonsingular saddle-point systems with a maximally rank deficient leading block;Estrin;SIAM Journal on Matrix Analysis and Applications,2015

2. On solving block-structured indefinite linear systems;Golub;SIAM Journal on Scientific Computing,2003

3. Numerical solution of saddle point problems;Benzi;Acta Numerica,2005

4. Eigenvalue estimates for preconditioned saddle point matrices;Axelsson;Numerical Linear Algebra with Applications,2006

5. Numerical Mathematics and Scientific Computation;Elman,2014

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1. On the homogeneous torsion problem for heterogeneous and orthotropic cross-sections: Theoretical and numerical aspects;Applied Numerical Mathematics;2024-07

2. Eigenvalue bounds for saddle-point systems with singular leading blocks;Journal of Computational and Applied Mathematics;2023-05

3. A block triangular preconditioner for a class of three-by-three block saddle point problems;Japan Journal of Industrial and Applied Mathematics;2023-01-07

4. Two-Level Iterative Methods for Solving the Saddle Point Problems;Journal of Physics: Conference Series;2021-01-01

5. SPMR: A Family of Saddle-Point Minimum Residual Solvers;SIAM Journal on Scientific Computing;2018-01
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