The principle of minimized iterations in the solution of the matrix eigenvalue 619 problem, Quart. Appl. Math, vol.9, pp.17-29, 1951. ,
A regularized factorization-free method for equality-constrained 621 optimization, SIAM J. Optim, vol.28, issue.2, pp.1613-1639, 2018. ,
Numerical solution of saddle point problems, Acta, vol.623 ,
, , vol.14, pp.1-137, 2005.
The N-step iteration procedures, J. Math. and Physics, vol.34, issue.1, pp.64-73, 1955. ,
The university of Florida sparse matrix collection ,
, , vol.38, 2011.
LSMR: An iterative algorithm for sparse least-squares 629 problems, SIAM J. Sci. Comput, vol.33, issue.5, pp.2950-2971, 2011. ,
Calculating the singular values and pseudo-inverse of a matrix ,
, Numer. Anal, vol.2, issue.2, pp.205-224, 1965.
Approximation of the scattering amplitude and linear 633 systems, Electron. Trans. Numer. Anal, vol.31, pp.178-203, 2008. ,
, , p.635
, Testing Environment with safe threads for Mathematical Optimization. Computational 636 Optimization and Applications, vol.60, pp.545-557, 2015.
Methods of conjugate gradients for solving linear systems, J ,
, Res. Nat. Bur. Standards, vol.49, issue.6, pp.409-436, 1952.
Solution of systems of linear equations by minimized iterations, J. Res. Nat ,
, Bur. Standards, vol.49, issue.1, pp.33-53, 1952.
A collection of linear systems arising from interior-point methods for quadratic 642 optimization. Cahier du GERAD G-2015-117, 2015. ,
A collection of linear systems arising from interior-point methods for quadratic 644 optimization. Online data set, 2015. ,
Iterative Solution of Symmetric Quasi-Definite Linear Systems, Spotlights. SIAM, vol.646, 2017. ,
Bidiagonalization of matrices and solution of linear equations, SIAM J. Numer. 648 Anal, vol.11, issue.1, pp.197-209, 1974. ,
Solution of sparse indefinite systems of linear equations ,
, Numer. Anal, vol.12, issue.4, pp.617-629, 1975.
LSQR: An algorithm for sparse linear equations and sparse 652 least squares, ACM Trans. Math. Software, vol.8, issue.1, pp.43-71, 1982. ,
A generalized LSQR algorithm, Numer. Linear Algebra Appl, vol.15, issue.7, pp.654-643, 2008. ,
On the compatibility of a given solution with the data of a linear 656 system, J. ACM, vol.14, issue.3, pp.543-548, 1967. ,
Two conjugate-gradient-type methods for unsymmetric 659 linear equations, SIAM J. Numer. Anal, vol.25, issue.4, pp.927-940, 1988. ,
Structured backward errors for KKT systems, Linear Algebra Appl, vol.288, pp.75-88, 1999. ,
On normwise structured backward errors for saddle point systems ,
, Matrix Anal. Appl, vol.29, issue.3, pp.838-849, 2007.