Euclidean-Norm Error Bounds for SYMMLQ and CG. Ron Estrin, Dominique Orban and Michael Saunders. SIAM Journal on Matrix Analysis and Applications, 40(1), 235–253, 2019. [pdf]
LSLQ: An Iterative Method for Linear Least-Squares with an Error Minimization Property. Ron Estrin, Dominique Orban and Michael Saunders. SIAM Journal on Matrix Analysis and Applications, 40(1), 254–275, 2019. [pdf]
SPMR: A Family of Saddle-Point Minimum Residual Solvers. Ron Estrin and Chen Greif. SIAM Journal on Scientific Computing. 40(3):A1884-A1914, 2018. [pdf][bibtex]
Towards an Optimal Condition Number of Certain Augmented Lagrangian-type Saddle-Point Matrices. Ron Estrin and Chen Greif. Numerical Linear Algebra with Applications, 23(4):693-705, 2016. [pdf][bibtex]
On Nonsingular Saddle-Point Systems with a Maximally Rank-Deficient Leading Block. Ron Estrin and Chen Greif. SIAM Journal on Matrix Analysis and Applications, 36(2):367-384, 2015. [pdf][bibtex]
Technical Reports
Implementing a Smooth Exact Penalty Function for Equality-Constrained Nonlinear Optimization. Ron Estrin, Michael Friedlander, Dominique Orban, and Michael Saunders. 2018. [pdf]
A Perturbation View of Level-Set Methods for Convex Optimization. Ron Estrin and Michael Friedlander. 2018. [pdf]
LNLQ: An Iterative Method for Least-Norm Problems with an Error Minimization Property. Ron Estrin, Dominique Orban and Michael Saunders. 2018. [pdf]
Presentations
SIAM Computational Science and Engineering.
A Perturbation View of Level-Set Methods.
Feb 2019.
[pdf]
Pacific Northwest Numerical Analysis Seminar.
The Merits of Keeping it Smooth: Implementing a Smooth Exact Penalty Function for Nonlinear Optimization.
Oct 2018.
UBC SCAIM Seminar.
The Merits of Keeping it Smooth: Implementing a Smooth Exact Penalty Function for Nonlinear Optimization.
Sept 2018. [pdf]
SIAM Annual Meeting.
**LQ: Iterative Methods for Linear Systems with Error Minimization and Estimation Properties.
July 2018.
SIAM Applied Linear Algebra Poster Session.
SPMR: A Family of Saddle-Point Minimum Residual Solvers.
May 2018.
[pdf]
High-Performance Scientific Computing Conference.
LSLQ: An Iterative Method for Linear-Least Squares wiht an Error Minimization Property.
Mar 2018.
Sandia National Labs.
A Smooth Exact Penalty Function for Nonlinear Optimization.
Feb 2018. [pdf]
Stanford LA/Opt Seminar.
SPMR: A Family of Saddle-Point Minimum Residual Solvers.
Oct 2017.
SIAM Computational Science and Engineering.
Estimating the 2-Norm Forward Error for SYMMLQ and CG.
Feb 2017.
SIAM Annual Meeting Poster Session.
High-Performance Right-Looking Householder-Based LLL and BKZ (2.0).
July 2016.
[pdf]
ICME Student Seminar.
Estimating the 2-Norm Error of SYMMLQ and CG.
Oct 2016.