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\begin{thebibliography}{10}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{7}
\textsc{ Amintoosi, M., Fathy, M., and Mozayani, N.}
\newblock Precise image registration with structural similarity error
  measurement applied to super-resolution.
\newblock {\em {EURASIP} {J}ournal on {A}pplied {S}ignal {P}rocessing 2009\/}
  (2009), 7 pages.
\newblock {A}rticle ID 305479.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{10}
\textsc{ Amintoosi, M., Fathy, M., and Mozayani, N.}
\newblock Regional varying image super-resolution.
\newblock  in {\em IEEE International Joint Conference on Computational
  Sciences and Optimization\/} (Sanya, China, April 23-26 2009), volume~1,  pp.
  913--917.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{arioli182002}
\textsc{ Arioli, M., and Manzini, G.}
\newblock A null space algorithm for mixed finite-element approximations of
  {Darcy's} equation.
\newblock {\em Communications in numerical methods in engineering 18}, 9
  (2002), 645--657.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{bai752006}
\textsc{ Bai, Z.-Z.}
\newblock Structured preconditioners for nonsingular matrices of block
  two-by-two structures.
\newblock {\em Mathematics of Computation 75}, 254 (2006), 791--815.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{bai162009}
\textsc{ Bai, Z.-Z.}
\newblock Optimal parameters in the {HSS}-like methods for saddle-point
  problems.
\newblock {\em Numerical Linear Algebra with Applications 16}, 6 (2009),
  447--479.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{bai572017}
\textsc{ Bai, Z.-Z., and Benzi, M.}
\newblock Regularized {HSS} iteration methods for saddle-point linear systems.
\newblock {\em BIT Numerical Mathematics 57}, 2 (2017), 287--311.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{bai562011}
\textsc{ Bai, Z.-Z., Benzi, M., and Chen, F.}
\newblock On preconditioned {MHSS} iteration methods for complex symmetric
  linear systems.
\newblock {\em Numerical Algorithms 56}, 2 (2011), 297--317.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{bai762007}
\textsc{ Bai, Z.-Z., Golub, G., and Li, C.-K.}
\newblock Convergence properties of preconditioned {Hermitian} and
  skew-{Hermitian} splitting methods for non-{Hermitian} positive semidefinite
  matrices.
\newblock {\em Mathematics of Computation 76}, 257 (2007), 287--298.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{bai272007}
\textsc{ Bai, Z.-Z., and Golub, G.~H.}
\newblock Accelerated {Hermitian} and skew-{Hermitian} splitting iteration
  methods for saddle-point problems.
\newblock {\em IMA Journal of Numerical Analysis 27}, 1 (2007), 1--23.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{bai262005}
\textsc{ Bai, Z.-Z., Golub, G.~H., Lu, L.-Z., and Yin, J.-F.}
\newblock Block triangular and skew-{Hermitian} splitting methods for
  positive-definite linear systems.
\newblock {\em {SIAM} Journal on Scientific Computing 26}, 3 (2005), 844--863.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{bai242003}
\textsc{ Bai, Z.-Z., Golub, G.~H., and Ng, M.~K.}
\newblock {Hermitian} and skew-{Hermitian} splitting methods for
  non-{Hermitian} positive definite linear systems.
\newblock {\em SIAM Journal on Matrix Analysis and Applications 24}, 3 (2003),
  603--626.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{bai142007}
\textsc{ Bai, Z.-Z., Golub, G.~H., and Ng, M.~K.}
\newblock On successive-overrelaxation acceleration of the {Hermitian} and
  skew-{Hermitian} splitting iterations.
\newblock {\em Numerical Linear Algebra with Applications 14}, 4 (2007),
  319--335.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{bai982004}
\textsc{ Bai, Z.-Z., Golub, G.~H., and Pan, J.-Y.}
\newblock Preconditioned {Hermitian} and skew-{Hermitian} splitting methods for
  non-{Hermitian} positive semidefinite linear systems.
\newblock {\em Numerische Mathematik 98}, 1 (2004), 1--32.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{bai312009}
\textsc{ Bai, Z.-Z., Ng, M.~K., and Wang, Z.-Q.}
\newblock Constraint preconditioners for symmetric indefinite matrices.
\newblock {\em SIAM Journal on Matrix Analysis and Applications 31}, 2 (2009),
  410--433.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{bai1022005}
\textsc{ Bai, Z.-Z., Parlett, B.~N., and Wang, Z.-Q.}
\newblock On generalized successive overrelaxation methods for augmented linear
  systems.
\newblock {\em Numerische Mathematik 102}, 1 (2005), 1--38.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{bai4282008}
\textsc{ Bai, Z.-Z., and Wang, Z.-Q.}
\newblock On parameterized inexact {Uzawa} methods for generalized saddle point
  problems.
\newblock {\em Linear Algebra and its Applications 428}, 11-12 (2008),
  2900--2932.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{bai242006}
\textsc{ Bai, Z.-z., Yin, J.-f., and Su, Y.-f.}
\newblock A shift-splitting preconditioner for non-{Hermitian} positive
  definite matrices.
\newblock {\em Journal of Computational Mathematics 24}, 4 (2006), 539--552.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{8}
\textsc{ Baker, S., and Kanade, T.}
\newblock Limits on super-resolution and how to break them.
\newblock {\em IEEE Trans. Pattern Anal. Mach. Intell. 24}, 9 (2002),
  1167--1183.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{benzi131993}
\textsc{ Benzi, M.}
\newblock Solution of equality-constrained quadratic programming problems by a
  projection iterative method.
\newblock {\em Rendiconti di Matematica 13\/} (1993), 275--296.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{benzi1822002}
\textsc{ Benzi, M.}
\newblock Preconditioning techniques for large linear systems: a survey.
\newblock {\em Journal of computational Physics 182}, 2 (2002), 418--477.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{benzi312009}
\textsc{ Benzi, M.}
\newblock A generalization of the {Hermitian} and skew-{Hermitian} splitting
  iteration.
\newblock {\em SIAM Journal on Matrix Analysis and Applications 31}, 2 (2009),
  360--374.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{benzi262004}
\textsc{ Benzi, M., and Golub, G.~H.}
\newblock A preconditioner for generalized saddle point problems.
\newblock {\em SIAM Journal on Matrix Analysis and Applications 26}, 1 (2004),
  20--41.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{benzi612011}
\textsc{ Benzi, M., and Guo, X.-P.}
\newblock A dimensional split preconditioner for {Stokes} and linearized
  {Navier}--{Stokes} equations.
\newblock {\em Applied Numerical Mathematics 61}, 1 (2011), 66--76.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{benzi2302011}
\textsc{ Benzi, M., Ng, M., Niu, Q., and Wang, Z.}
\newblock A relaxed dimensional factorization preconditioner for the
  incompressible {Navier}--{Stokes} equations.
\newblock {\em Journal of Computational Physics 230}, 16 (2011), 6185--6202.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{betts2002}
\textsc{ Betts, J., and Kolmanovsky, I.}
\newblock Practical methods for optimal control using nonlinear programming.
\newblock {\em Applied Mechanics Reviews 55\/} (2002), B68.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{bjorck1996}
\textsc{ Bjorck, A.}
\newblock {\em Numerical methods for least squares problems}, volume~51.
\newblock SIAM, 1996.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{12}
\textsc{ Borman, S.}
\newblock {\em Topics in Multiframe Superresolution Restoration}.
\newblock  Ph.D. thesis, University of Notre Dame, Notre Dame, IN, May 2004.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{bramble341997}
\textsc{ Bramble, J.~H., Pasciak, J.~E., and Vassilev, A.~T.}
\newblock Analysis of the inexact {Uzawa} algorithm for saddle point problems.
\newblock {\em SIAM Journal on Numerical Analysis 34}, 3 (1997), 1072--1092.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{brezzi2012}
\textsc{ Brezzi, F., and Fortin, M.}
\newblock {\em Mixed and hybrid finite element methods}, volume~15.
\newblock Springer Science \& Business Media, 2012.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{brown181997}
\textsc{ Brown, P.~N., and Walker, H.~F.}
\newblock {GMRES} on (nearly) singular systems.
\newblock {\em SIAM Journal on Matrix Analysis and Applications 18}, 1 (1997),
  37--51.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{cao842018}
\textsc{ Cao, Y.}
\newblock Regularized {DPSS} preconditioners for non-{Hermitian} saddle point
  problems.
\newblock {\em Applied Mathematics Letters 84\/} (2018), 96--102.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{cao2722014}
\textsc{ Cao, Y., Du, J., and Niu, Q.}
\newblock Shift-splitting preconditioners for saddle point problems.
\newblock {\em Journal of Computational and Applied Mathematics 272\/} (2014),
  239--250.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{cao492015}
\textsc{ Cao, Y., Li, S., and Yao, L.-Q.}
\newblock A class of generalized shift-splitting preconditioners for
  nonsymmetric saddle point problems.
\newblock {\em Applied Mathematics Letters 49\/} (2015), 20--27.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{cao712016}
\textsc{ Cao, Y., and Miao, S.-X.}
\newblock On semi-convergence of the generalized shift-splitting iteration
  method for singular nonsymmetric saddle point problems.
\newblock {\em Computers \& Mathematics with Applications 71}, 7 (2016),
  1503--1511.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{cao22012}
\textsc{ Cao, Y., Tan, W.-W., and Jiang, M.-Q.}
\newblock A generalization of the positive-definite and skew-{Hermitian}
  splitting iteration.
\newblock {\em Numerical Algebra, Control \& Optimization 2}, 4 (2012),
  811--821.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{cao572007}
\textsc{ Cao, Z.-H.}
\newblock Positive stable block triangular preconditioners for symmetric saddle
  point problems.
\newblock {\em Applied numerical mathematics 57}, 8 (2007), 899--910.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{chao762018}
\textsc{ Chao, Z., Chen, G., and Guo, Y.}
\newblock On the semi-convergence of regularized {HSS} iteration methods for
  singular saddle point problems.
\newblock {\em Computers \& Mathematics with Applications 76}, 2 (2018),
  438--450.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{chen2692015}
\textsc{ Chen, C.-R., and Ma, C.-F.}
\newblock A generalized shift-splitting preconditioner for singular saddle
  point problems.
\newblock {\em Applied Mathematics and Computation 269\/} (2015), 947--955.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{chen432015}
\textsc{ Chen, C., and Ma, C.}
\newblock A generalized shift-splitting preconditioner for saddle point
  problems.
\newblock {\em Applied Mathematics Letters 43\/} (2015), 49--55.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{chen2712015}
\textsc{ Chen, F.}
\newblock On choices of iteration parameter in {HSS} method.
\newblock {\em Applied Mathematics and Computation 271\/} (2015), 832--837.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{datta2010}
\textsc{ Datta, B.~N.}
\newblock {\em Numerical linear algebra and applications}, volume 116.
\newblock SIAM, 2010.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{sturler262005}
\textsc{ de~Sturler, E., and Liesen, J.}
\newblock Block-diagonal and constraint preconditioners for nonsymmetric
  indefinite linear systems. {Part} {I}: {Theory}.
\newblock {\em SIAM Journal on Scientific Computing 26}, 5 (2005), 1598--1619.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{elman432002}
\textsc{ Elman, H.~C.}
\newblock Preconditioners for saddle point problems arising in computational
  fluid dynamics.
\newblock {\em Applied Numerical Mathematics 43}, 1-2 (2002), 75--89.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{elman902002}
\textsc{ Elman, H.~C., Silvester, D.~J., and Wathen, A.~J.}
\newblock Performance and analysis of saddle point preconditioners for the
  discrete steady--state {Navier}-{Stokes} equations.
\newblock {\em Numerische Mathematik 90}, 4 (2002), 665--688.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{fan2582015}
\textsc{ Fan, H.-t., and Zhu, X.-y.}
\newblock A generalized relaxed positive-definite and skew-{Hermitian}
  splitting preconditioner for non-{Hermitian} saddle point problems.
\newblock {\em Applied Mathematics and Computation 258\/} (2015), 36--48.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{fortin152000}
\textsc{ Fortin, M., and Glowinski, R.}
\newblock {\em Augmented Lagrangian methods: applications to the numerical
  solution of boundary-value problems}, volume~15.
\newblock Elsevier, 2000.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{gill131992}
\textsc{ Gill, P.~E., Murray, W., Poncele{\'o}n, D.~B., and Saunders, M.~A.}
\newblock Preconditioners for indefinite systems arising in optimization.
\newblock {\em SIAM journal on matrix analysis and applications 13}, 1 (1992),
  292--311.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{gill1981}
\textsc{ Gill, P.~E., Murray, W., and Wright, M.~H.}
\newblock {\em Practical optimization}.
\newblock Academic press, 1981.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{golub412001}
\textsc{ Golub, G.~H., Wu, X., and Yuan, J.-Y.}
\newblock {SOR}-like methods for augmented systems.
\newblock {\em BIT Numerical Mathematics 41}, 1 (2001), 71--85.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{9}
\textsc{ Gonzalez, R.~C., and Woods, R.~E.}
\newblock {\em Digital Image Processing}, 3rd ed. .
\newblock Prentice-Hall, Inc., Upper Saddle River, NJ, USA, 2006.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{gould232001}
\textsc{ Gould, N.~I., Hribar, M.~E., and Nocedal, J.}
\newblock On the solution of equality constrained quadratic programming
  problems arising in optimization.
\newblock {\em SIAM Journal on Scientific Computing 23}, 4 (2001), 1376--1395.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{horn1990}
\textsc{ Horn, R.~A., Horn, R.~A., and Johnson, C.~R.}
\newblock {\em Matrix analysis}.
\newblock Cambridge university press, 1990.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{huang2552014}
\textsc{ Huang, Y.-M.}
\newblock A practical formula for computing optimal parameters in the {HSS}
  iteration methods.
\newblock {\em Journal of Computational and Applied Mathematics 255\/} (2014),
  142--149.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{huang752017}
\textsc{ Huang, Z.-G., Wang, L.-G., Xu, Z., and Cui, J.-J.}
\newblock A generalized variant of the deteriorated {PSS} preconditioner for
  nonsymmetric saddle point problems.
\newblock {\em Numerical Algorithms 75}, 4 (2017), 1161--1191.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{jiang2162010}
\textsc{ Jiang, M.-Q., Cao, Y., and Yao, L.-Q.}
\newblock On parameterized block triangular preconditioners for generalized
  saddle point problems.
\newblock {\em Applied Mathematics and Computation 216}, 6 (2010), 1777--1789.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{keller212000}
\textsc{ Keller, C., Gould, N.~I., and Wathen, A.~J.}
\newblock Constraint preconditioning for indefinite linear systems.
\newblock {\em SIAM Journal on Matrix Analysis and Applications 21}, 4 (2000),
  1300--1317.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{11}
\textsc{ Khalighi, V.}
\newblock Category theory.
\newblock  Master's thesis, Sydny Univ., April 2007.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{li2342014}
\textsc{ Li, W.-W., and Wang, X.}
\newblock A modified {GPSS} method for non-positive definite linear systems.
\newblock {\em Applied Mathematics and Computation 234\/} (2014), 253--259.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{liang782018}
\textsc{ Liang, Z.-Z., and Zhang, G.-F.}
\newblock Semi-convergence analysis of preconditioned deteriorated {PSS}
  iteration method for singular saddle point problems.
\newblock {\em Numerical Algorithms 78}, 2 (2018), 379--404.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{lukvsan51998}
\textsc{ Luk{\v{s}}an, L., and Vl{\v{c}}ek, J.}
\newblock Indefinitely preconditioned inexact {Newton} method for large sparse
  equality constrained non-linear programming problems.
\newblock {\em Numerical linear algebra with applications 5}, 3 (1998),
  219--247.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{murphy212000}
\textsc{ Murphy, M.~F., Golub, G.~H., and Wathen, A.~J.}
\newblock A note on preconditioning for indefinite linear systems.
\newblock {\em SIAM Journal on Scientific Computing 21}, 6 (2000), 1969--1972.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{pan1722006}
\textsc{ Pan, J.-Y., Ng, M.~K., and Bai, Z.-Z.}
\newblock New preconditioners for saddle point problems.
\newblock {\em Applied Mathematics and Computation 172}, 2 (2006), 762--771.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{perugia72000}
\textsc{ Perugia, I., and Simoncini, V.}
\newblock Block-diagonal and indefinite symmetric preconditioners for mixed
  finite element formulations.
\newblock {\em Numerical linear algebra with applications 7}, 7-8 (2000),
  585--616.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{ren3112017}
\textsc{ Ren, Z.-R., Cao, Y., and Niu, Q.}
\newblock Spectral analysis of the generalized shift-splitting preconditioned
  saddle point problem.
\newblock {\em Journal of Computational and Applied Mathematics 311\/} (2017),
  539--550.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{saad71986}
\textsc{ Saad, Y., and Schultz, M.~H.}
\newblock {GMRES}: A generalized minimal residual algorithm for solving
  nonsymmetric linear systems.
\newblock {\em SIAM Journal on scientific and statistical computing 7}, 3
  (1986), 856--869.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{saad822003}
\textsc{ Saad, Y.}
\newblock {\em Iterative methods for sparse linear systems}, volume~82.
\newblock {SIAM}, 2003.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{salkuyeh82014}
\textsc{ Salkuyeh, D.~K.}
\newblock The {Picard--HSS} iteration method for absolute value equations.
\newblock {\em Optimization Letters 8}, 8 (2014), 2191--2202.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{salkuyeh482015}
\textsc{ Salkuyeh, D.~K., Masoudi, M., and Hezari, D.}
\newblock On the generalized shift-splitting preconditioner for saddle point
  problems.
\newblock {\em Applied Mathematics Letters 48\/} (2015), 55--61.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{conferyazd}
\textsc{ Salkuyeh, D.~K., Masoudi, M., and Hezari, D.}
\newblock A preconditioner based on the shift-splitting method for generalized
  saddle point problems.
\newblock  in {\em 46th Annual Iranian Mathematics Conference\/} (Yazd,Iran,
  Aug. 2015), volume~1, Yazd University,  pp. 1061--1064.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{salkuyeh7420172}
\textsc{ Salkuyeh, D.~K., and Rahimian, M.}
\newblock A modification of the generalized shift-splitting method for singular
  saddle point problems.
\newblock {\em Computers \& Mathematics with Applications 74}, 12 (2017),
  2940--2949.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{shen722016}
\textsc{ Shen, Q.-Q., and Shi, Q.}
\newblock Generalized shift-splitting preconditioners for nonsingular and
  singular generalized saddle point problems.
\newblock {\em Computers \& Mathematics with Applications 72}, 3 (2016),
  632--641.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{shen2372014}
\textsc{ Shen, S.-Q.}
\newblock A note on {PSS} preconditioners for generalized saddle point
  problems.
\newblock {\em Applied Mathematics and Computation 237\/} (2014), 723--729.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{shi2692015}
\textsc{ Shi, Q., Shen, Q.-Q., and Yao, L.-Q.}
\newblock Eigenvalue bounds of the shift-splitting preconditioned singular
  nonsymmetric saddle-point matrices.
\newblock {\em Journal of Inequalities and Applications 269\/} (2015),
  947--955.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{13}
\textsc{ Shokoohi, F.},  ed. .
\newblock {\em Proceedings of the Xth Conference on XYZ\/} (October 2006).

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{simoncini492004}
\textsc{ Simoncini, V.}
\newblock Block triangular preconditioners for symmetric saddle-point problems.
\newblock {\em Applied Numerical Mathematics 49}, 1 (2004), 63--80.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{simoncini262004}
\textsc{ Simoncini, V., and Benzi, M.}
\newblock Spectral properties of the {Hermitian} and skew-{Hermitian} splitting
  preconditioner for saddle point problems.
\newblock {\em SIAM Journal on Matrix Analysis and Applications 26}, 2 (2004),
  377--389.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{strang1986}
\textsc{ Strang, G., and Aarikka, K.}
\newblock {\em Introduction to applied mathematics}, volume~16.
\newblock Wellesley-Cambridge Press Wellesley, MA, 1986.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{wang2982016}
\textsc{ Wang, R.-R., Niu, Q., Ma, F., and Lu, L.-Z.}
\newblock Spectral properties of a class of matrix splitting preconditioners
  for saddle point problems.
\newblock {\em Journal of Computational and Applied Mathematics 298\/} (2016),
  138--151.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{warsa112004}
\textsc{ Warsa, J.~S., Benzi, M., Wareing, T.~A., and Morel, J.~E.}
\newblock Preconditioning a mixed discontinuous finite element method for
  radiation diffusion.
\newblock {\em Numerical Linear Algebra with Applications 11}, 8-9 (2004),
  795--811.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{wu482008}
\textsc{ Wu, X., Golub, G.~H., Cuminato, J.~A., and Yuan, J.~Y.}
\newblock Symmetric-triangular decomposition and its applications part ii:
  {Preconditioners} for indefinite systems.
\newblock {\em BIT Numerical Mathematics 48}, 1 (2008), 139--162.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{xie722016}
\textsc{ Xie, Y.-J., and Ma, C.-F.}
\newblock A modified positive-definite and skew-{Hermitian} splitting
  preconditioner for generalized saddle point problems from the {Navier-Stokes}
  equation.
\newblock {\em Numerical Algorithms 72}, 1 (2016), 243--258.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{zheng3132017}
\textsc{ Zheng, Q., and Lu, L.}
\newblock Extended shift-splitting preconditioners for saddle point problems.
\newblock {\em Journal of Computational and Applied Mathematics 313\/} (2017),
  70--81.

\end{LTRbibitems}

\begin{LTRbibitems}
\resetlatinfont
\bibitem{zhou2712015}
\textsc{ Zhou, R., Wang, X., and Tang, X.-B.}
\newblock A generalization of the {Hermitian} and skew--{Hermitian} splitting
  iteration method for solving {Sylvester} equations.
\newblock {\em Applied Mathematics and Computation 271\/} (2015), 609--617.

\end{LTRbibitems}


\bibitem{2}
\textsc{ استالینگ, ویلیام}.
\newblock {\em اصول طراحی و ویژگیهای داخلی
  سیستم‌های عامل},  ویرایش سوم.
\newblock ترجمه‌ی صدیقی‌~مشکنانی, محسن, و
  پدرام, حسین,  ویراستار برنجکوب, محمود.
\newblock نشر شیخ بهایی, اصفهان, بهار ۱۳۸۰.


\bibitem{5}
\textsc{ امیدعلی, مهدی}.
\newblock {\em تابع هیلبرت}.
\newblock  پایان‌نامه دکترا, دانشکده ریاضی،
  دانشگاه امیرکبیر, تیر 1382.


\bibitem{3}
\textsc{ امین‌طوسی, محمود, مزینی, ناصر, و فتحی,
  محمود}.
\newblock افزایش وضوح ناحیه‌ای.
\newblock  در {\em چهاردهمین کنفرانس ملی سالانه
  انجمن کامپیوتر ایران\/} (تهران، ایران,
  اسفند 1387), دانشگاه امیرکبیر,  صفحات  101--108.


\bibitem{drkhojasteh2}
\textsc{ خجسته~سالکویه, داود}.
\newblock {\em جبر خطی عددی}.
\newblock انتشارات جهاد دانشگاهی, 1395.


\bibitem{drkhojasteh1}
\textsc{ خجسته~سالکویه, داود}.
\newblock {\em روش‌های عددی در جبر خطی}.
\newblock انتشارات دانشگاه گیلان, 1396.


\bibitem{6}
\textsc{ خلیقی, وفا}.
\newblock زی‌پرشین (\lr{\XePersian}): بسته فارسی برای
  حروف‌چینی در \lr{\LaTeX2e}, ۱۳۸۷.


\bibitem{1}
\textsc{ واحدی, مصطفی}.
\newblock موضوعی جدید در هندسه محاسباتی.
\newblock {\em مجله فارسی نمونه 1}, 2 (آبان 1387), 22--30.


\bibitem{4}
\textsc{ پورموسی, امیرمسعود}.
\newblock یک موضوع فیزیک.
\newblock  پایان‌نامه کارشناسی‌ارشد, دانشکده
  فیزیک، دانشگاه صنعتی‌شریف, مرداد ۱۳۸۸.
\newblock (در حال انجام).

\end{thebibliography}
