@ARTICLE{1,
	AUTHOR =  {واحدی, مصطفی},
	TITLE =  {موضوعی جدید در هندسه محاسباتی},
	JOURNAL =  {مجله فارسی نمونه},
	VOLUME =  {1},
	YEAR =  {1387},
	NUMBER =  {2},
	MONTH =  {آبان},
	PAGES =  {22-30},
	LANGUAGE =   {Persian}
}


@BOOK{2,
	AUTHOR =       {استالینگ, ویلیام},
	EDITOR =       {برنجکوب, محمود},
	translator =   { صدیقی‌ مشکنانی, محسن and پدرام,حسین },
	TITLE =        {اصول طراحی و ویژگیهای داخلی سیستم‌های عامل},
	PUBLISHER =    {نشر شیخ بهایی},
	YEAR =         {۱۳۸۰},
	ADDRESS =      {اصفهان},
	edition =      {سوم},
	MONTH =        {بهار},
	LANGUAGE =     {Persian}
}

@CONFERENCE{3,
	AUTHOR =       {امین‌طوسی,محمود and مزینی,ناصر and  فتحی,محمود},
	TITLE =        {افزایش وضوح ناحیه‌ای},
	BOOKTITLE =    {چهاردهمین کنفرانس ملی سالانه انجمن کامپیوتر ایران},
	YEAR =         {1387},
	ORGANIZATION = {دانشگاه امیرکبیر},
	ADDRESS =      {تهران، ایران},
	month = 		 {اسفند},
	pages = {101--108},
	LANGUAGE =     {Persian},  
	url = {http://www.civilica.com/Paper-ACCSI14-ACCSI14_107.htm}
}


@MASTERSTHESIS{4,
	AUTHOR =       {پورموسی , امیرمسعود},
	TITLE =        {یک موضوع فیزیک},
	SCHOOL =       {دانشکده فیزیک، دانشگاه صنعتی‌شریف},
	YEAR =         {۱۳۸۸},
	MONTH =        {مرداد},
	NOTE = 		 {(در حال انجام)},
	LANGUAGE =     {Persian}
}




@PHDTHESIS{5,
	AUTHOR =       {امیدعلی, مهدی},
	TITLE =        {تابع هیلبرت},
	SCHOOL =       {دانشکده ریاضی، دانشگاه امیرکبیر},
	YEAR =         {1382},
	MONTH =        {تیر},
	LANGUAGE =     {Persian}
}




@MISC{6,
	AUTHOR =      {خلیقی,وفا},
	TITLE =        {زی‌پرشین (\lr{\XePersian}): بسته فارسی برای حروف‌چینی در \lr{\LaTeX2e}},
	YEAR =         {۱۳۸۷},
	LANGUAGE =     {Persian}
}


@ARTICLE{7,
	AUTHOR =       {M. Amintoosi and M. Fathy and N. Mozayani},
	authorfa =     {م. امین‌طوسی and م. فتحی and م.مزینی},
	TITLE =        {Precise Image Registration with Structural Similarity Error Measurement Applied to Super-Resolution},
	JOURNAL =      {{EURASIP} {J}ournal on {A}pplied {S}ignal {P}rocessing},
	Volume =         {2009},
	YEAR =         {2009},
	pages =        {7 pages},
	note =         {{A}rticle ID 305479},
	url = {http://www.hindawi.com/journals/asp/2009/305479.html}
}

@article{8,
	author = {Baker,, Simon and Kanade,, Takeo},
	authorfa = {ر. گنزالس and ر. وودس },
	title = {Limits on Super-Resolution and How to Break Them},
	journal = {IEEE Trans. Pattern Anal. Mach. Intell.},
	volume = {24},
	number = {9},
	year = {2002},
	issn = {0162-8828},
	pages = {1167--1183},
	publisher = {IEEE Computer Society},
	address = {Washington, DC, USA}
}

@BOOK{9,
	AUTHOR =      {Gonzalez,, Rafael C. and Woods,, Richard E.},
	authorfa = {ر. گنزالس and ر. وودس },
	TITLE =       {Digital Image Processing},
	PUBLISHER =   {Prentice-Hall, Inc.},
	YEAR =        {2006},
	ISBN = 		{013168728X},
	EDITION = 	{3rd},
	ADDRESS = {Upper Saddle River, NJ, USA},
}

@CONFERENCE{10,
	author =       {M. Amintoosi and M. Fathy and N. Mozayani},
	authorfa =     {م. امین‌طوسی and م. فتحی and م.مزینی},
	title =        {Regional Varying Image Super-Resolution},
	booktitle =    {IEEE International Joint Conference on Computational Sciences and Optimization},
	year =         {2009},
	month =        {April 23-26},
	address =      {Sanya, China},
	volume =       {1},
	pages =        {913-917}
}




@MASTERSTHESIS{11,
	AUTHOR =       {Vafa Khalighi},
	AUTHORFA = {خلیقی,وفا},
	TITLE =        {Category Theory},
	SCHOOL =       {Sydny Univ.},
	YEAR =         {2007},
	MONTH =        {April}
}


@PhdThesis{12,
	author =   {Sean Borman},
	authorfa = {بورمن,سین},
	title =    {Topics in Multiframe Superresolution Restoration},
	school =   {University of Notre Dame},
	year =     {2004},
	address =  {Notre Dame, IN},
	month =    may,
}




@PROCEEDINGS {13,
	editor    = {Farhad Shokoohi},
	authorfa = {فرهاد شکوهی},
	title     = {Proceedings of the Xth Conference on XYZ},
	booktitle = {Proceedings of the Xth Conference on XYZ},
	year      = {2006},
	month     = {October}
}



 
 
 

 
 


  
 
@Article{bai101999,
title={A class of modified block  {SSOR} preconditioners for symmetric positive definite systems of linear equations},
author={Bai, Zhong-Zhi},
journal={Advances in Computational Mathematics},
volume={10},
number={2},
pages={169--186},
year={1999},
publisher={Springer}
}

@Article{bai192012,
	title={Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models},
	author={Bai, Zhong-Zhi},
	journal={Numerical Linear Algebra with Applications},
	volume={19},
	number={6},
	pages={914--936},
	year={2012},
	publisher={Wiley Online Library}
}
@Article{bai1032001,
	title={Modified block  {SSOR} preconditioners for symmetric positive definite linear systems},
	author={Bai, Zhong-Zhi},
	journal={Annals of Operations Research},
	volume={103},
	number={1-4},
	pages={263--282},
	year={2001},
	publisher={Springer}
}
@Article{bai162009,
	title={Optimal parameters in the  {HSS}-like methods for saddle-point problems},
	author={Bai, Zhong-Zhi},
	journal={Numerical Linear Algebra with Applications},
	volume={16},
	number={6},
	pages={447--479},
	year={2009},
	publisher={Wiley Online Library}
}

 @Article{fan2582015,
 title={A generalized relaxed positive-definite and skew-{Hermitian} splitting preconditioner for non-{Hermitian} saddle point problems},
 author={Fan, Hong-tao and Zhu, Xin-yun},
 journal={Applied Mathematics and Computation},
 volume={258},
 pages={36--48},
 year={2015},
 publisher={Elsevier}
}	


@Article{bai752006,
	title={Structured preconditioners for nonsingular matrices of block two-by-two structures},
	author={Bai, Zhong-Zhi},
	journal={Mathematics of Computation},
	volume={75},
	number={254},
	pages={791--815},
	year={2006}
}
@Article{bai572017,
	title={Regularized  {HSS} iteration methods for saddle-point linear systems},
	author={Bai, Zhong-Zhi and Benzi, Michele},
	journal={BIT Numerical Mathematics},
	volume={57},
	number={2},
	pages={287--311},
	year={2017},
	publisher={Springer}
}
@Article{bai272007,
	title={Accelerated  {Hermitian} and skew-{Hermitian} splitting iteration methods for saddle-point problems},
	author={Bai, Zhong-Zhi and Golub, Gene H},
	journal={IMA Journal of Numerical Analysis},
	volume={27},
	number={1},
	pages={1--23},
	year={2007},
	publisher={Oxford University Press}
}
@Article{bai762007,
	title={Convergence properties of preconditioned  {Hermitian} and skew-{Hermitian} splitting methods for non-{Hermitian} positive semidefinite matrices},
	author={Bai, Zhong-Zhi and Golub, Gene and Li, Chi-Kwong},
	journal={Mathematics of Computation},
	volume={76},
	number={257},
	pages={287--298},
	year={2007}
}
@Article{bai262005,
	title={Block triangular and skew-{Hermitian} splitting methods for positive-definite linear systems},
	author={Bai, Zhong-Zhi and Golub, Gene H and Lu, Lin-Zhang and Yin, Jun-Feng},
	journal={{SIAM} Journal on Scientific Computing},
	volume={26},
	number={3},
	pages={844--863},
	year={2005},
	publisher={SIAM}
}
@Article{bai242003,
	 title={ {Hermitian} and skew-{Hermitian} splitting methods for non-{Hermitian} positive definite linear systems},
	author={Bai, Zhong-Zhi and Golub, Gene H and Ng, Michael K},
	journal={SIAM Journal on Matrix Analysis and Applications},
	volume={24},
	number={3},
	pages={603--626},
	year={2003},
	publisher={SIAM}
}
@Article{bai982004,
	title={Preconditioned  {Hermitian} and skew-{Hermitian} splitting methods for non-{Hermitian} positive semidefinite linear systems},
	author={Bai, Zhong-Zhi and Golub, Gene H and Pan, Jian-Yu},
	journal={Numerische Mathematik},
	volume={98},
	number={1},
	pages={1--32},
	year={2004},
	publisher={Springer}
}
@Article{bai312009,
	title={Constraint preconditioners for symmetric indefinite matrices},
	author={Bai, Zhong-Zhi and Ng, Michael K and Wang, Zeng-Qi},
	journal={SIAM Journal on Matrix Analysis and Applications},
	volume={31},
	number={2},
	pages={410--433},
	year={2009},
	publisher={SIAM}
}
@Article{bai1022005,
	title={On generalized successive overrelaxation methods for augmented linear systems},
	author={Bai, Zhong-Zhi and Parlett, Beresford N and Wang, Zeng-Qi},
	journal={Numerische Mathematik},
	volume={102},
	number={1},
	pages={1--38},
	year={2005},
	publisher={Springer}
}

@Article{bai4282008,
title={On parameterized inexact  {Uzawa} methods for generalized saddle point problems},
author={Bai, Zhong-Zhi and Wang, Zeng-Qi},
journal={Linear Algebra and its Applications},
volume={428},
number={11-12},
pages={2900--2932},
year={2008},
publisher={Elsevier}
}
@Article{benzi1822002,
	title={Preconditioning techniques for large linear systems: a survey},
	author={Benzi, Michele},
	journal={Journal of computational Physics},
	volume={182},
	number={2},
	pages={418--477},
	year={2002},
	publisher={Elsevier}
}
@Article{benzi432003,
	title={Optimization of the  {Hermitian} and skew-{Hermitian} splitting iteration for saddle-point problems},
	author={Benzi, Michele and Gander, Martin J and Golub, Gene H},
	journal={BIT Numerical Mathematics},
	volume={43},
	number={5},
	pages={881--900},
	year={2003},
	publisher={Springer}
}
@Article{benzi262004,
	title={A preconditioner for generalized saddle point problems},
	author={Benzi, Michele and Golub, Gene H},
	journal={SIAM Journal on Matrix Analysis and Applications},
	volume={26},
	number={1},
	pages={20--41},
	year={2004},
	publisher={SIAM}
}
@Article{benzi142005,
	title={Numerical solution of saddle point problems},
	author={Benzi, Michele and Golub, Gene H and Liesen, J{\"o}rg},
	journal={Acta numerica},
	volume={14},
	pages={1--137},
	year={2005},
	publisher={Cambridge University Press}
}
@Article{benzi612011,
        title={A dimensional split preconditioner for  {Stokes} and linearized  {Navier}--{Stokes} equations},
  author={Benzi, Michele and Guo, Xue-Ping},
  journal={Applied Numerical Mathematics},
  volume={61},
  number={1},
  pages={66--76},
  year={2011},
  publisher={Elsevier}
}

@Article{benzi2302011,
	title={A relaxed dimensional factorization preconditioner for the incompressible  {Navier}--{Stokes} equations},
	author={Benzi, Michele and Ng, Michael and Niu, Qiang and Wang, Zhen},
	journal={Journal of Computational Physics},
	volume={230},
	number={16},
	pages={6185--6202},
	year={2011},
	publisher={Elsevier}
}
@Article{bramble341997,
	title={Analysis of the inexact  {Uzawa} algorithm for saddle point problems},
	author={Bramble, James H and Pasciak, Joseph E and Vassilev, Apostol T},
	journal={SIAM Journal on Numerical Analysis},
	volume={34},
	number={3},
	pages={1072--1092},
	year={1997},
	publisher={SIAM}
}
@Article{cao572007,
	title={Positive stable block triangular preconditioners for symmetric saddle point problems},
	author={Cao, Zhi-Hao},
	journal={Applied numerical mathematics},
	volume={57},
	number={8},
	pages={899--910},
	year={2007},
	publisher={Elsevier}
}
@Article{cao2722014,
  title={Shift-splitting preconditioners for saddle point problems},
author={Cao, Yang and Du, Jun and Niu, Qiang},
journal={Journal of Computational and Applied Mathematics},
volume={272},
pages={239--250},
year={2014},
publisher={Elsevier}
}
@Article{cao492015,
title={A class of generalized shift-splitting preconditioners for nonsymmetric saddle point problems},
author={Cao, Yang and Li, Sen and Yao, Lin-Quan},
journal={Applied Mathematics Letters},
volume={49},
pages={20--27},
year={2015},
publisher={Elsevier}
}
@Article{cao22012,
title={A generalization of the positive-definite and skew-{Hermitian} splitting iteration},
author={Cao, Yang and Tan, Wei-Wei and Jiang, Mei-Qun},
journal={Numerical Algebra, Control \& Optimization},
volume={2},
number={4},
pages={811--821},
year={2012}
}
@Article{chen432015,
	title={A generalized shift-splitting preconditioner for saddle point problems},
	author={Chen, Cairong and Ma, Changfeng},
	journal={Applied Mathematics Letters},
	volume={43},
	pages={49--55},
	year={2015},
	publisher={Elsevier}
}
@misc{elman332007,
	title={Algorithm 866:  {IFISS}, a  {Matlab} toolbox for modelling incompressible flow},
	author={Elman, Howard C and Ramage, Alison and Silvester, David J},
	journal={ACM Transactions on Mathematical Software (TOMS)},
	volume={33},
	number={2},
	pages={14},
	year={2007},
	publisher={ACM}
}
@Article{fan322014,
title={The generalized local {Hermitian} and skew-{Hermitian} splitting iteration methods for the non-{Hermitian} generalized saddle point problems},
author={Fan, HT and Zheng, Bing},
journal={J. Comput. Math},
volume={32},
pages={312--331},
year={2014}
}
@Article{golub412001,
	title={ {SOR}-like methods for augmented systems},
	author={Golub, Gene H and Wu, X and Yuan, Jin-Yun},
	journal={BIT Numerical Mathematics},
	volume={41},
	number={1},
	pages={71--85},
	year={2001},
	publisher={Springer}
}
@Article{jiang2312009,
	title={On local  {Hermitian} and skew-{Hermitian} splitting iteration methods for generalized saddle point problems},
	author={Jiang, Mei-Qun and Cao, Yang},
	journal={Journal of Computational and Applied Mathematics},
	volume={231},
	number={2},
	pages={973--982},
	year={2009},
	publisher={Elsevier}
}
@Article{jiang2162010,
	title={On parameterized block triangular preconditioners for generalized saddle point problems},
	author={Jiang, Mei-Qun and Cao, Yang and Yao, Lin-Quan},
	journal={Applied Mathematics and Computation},
	volume={216},
	number={6},
	pages={1777--1789},
	year={2010},
	publisher={Elsevier}
}
@Article{keller212000,
	title={Constraint preconditioning for indefinite linear systems},
	author={Keller, Carsten and Gould, Nicholas IM and Wathen, Andrew J},
	journal={SIAM Journal on Matrix Analysis and Applications},
	volume={21},
	number={4},
	pages={1300--1317},
	year={2000},
	publisher={SIAM}
}
@Article{murphy212000,
	title={A note on preconditioning for indefinite linear systems},
	author={Murphy, Malcolm F and Golub, Gene H and Wathen, Andrew J},
	journal={SIAM Journal on Scientific Computing},
	volume={21},
	number={6},
	pages={1969--1972},
	year={2000},
	publisher={SIAM}
}
@Article{pan1722006,
	title={New preconditioners for saddle point problems},
	author={Pan, Jian-Yu and Ng, Michael K and Bai, Zhong-Zhi},
	journal={Applied Mathematics and Computation},
	volume={172},
	number={2},
	pages={762--771},
	year={2006},
	publisher={Elsevier}
}
@Book{saad822003,
	title={Iterative methods for sparse linear systems},
	author={Saad, Yousef},
	volume={82},
	year={2003},
	publisher={{SIAM}}
}
@Article{saad71986,
	title={ {GMRES}: A generalized minimal residual algorithm for solving nonsymmetric linear systems},
	author={Saad, Youcef and Schultz, Martin H},
	journal={SIAM Journal on scientific and statistical computing},
	volume={7},
	number={3},
	pages={856--869},
	year={1986},
	publisher={SIAM}
}


@Article{salkuyeh482015,
	title={On the generalized shift-splitting preconditioner for saddle point problems},
	author={Salkuyeh, Davod Khojasteh and Masoudi, Mohsen and Hezari, Davod},
	journal={Applied Mathematics Letters},
	volume={48},
	pages={55--61},
	year={2015},
	publisher={Elsevier}
}




@Article{salkuyeh742017,
title={A new relaxed  {HSS} preconditioner for saddle point problems},
author={Salkuyeh, Davod Khojasteh and Masoudi, Mohsen},
journal={Numerical Algorithms},
volume={74},
number={3},
pages={781--795},
year={2017},
publisher={Springer}
}
@Article{shen2372014,
title={A note on  {PSS} preconditioners for generalized saddle point problems},
author={Shen, Shu-Qian},
journal={Applied Mathematics and Computation},
volume={237},
pages={723--729},
year={2014},
publisher={Elsevier}
}
@Article{simoncini492004,
	title={Block triangular preconditioners for symmetric saddle-point problems},
	author={Simoncini, Valeria},
	journal={Applied Numerical Mathematics},
	volume={49},
	number={1},
	pages={63--80},
	year={2004},
	publisher={Elsevier}
}

@Article{simoncini262004,
title={Spectral properties of the  {Hermitian} and skew-{Hermitian} splitting preconditioner for saddle point problems},
author={Simoncini, Valeria and Benzi, Michele},
journal={SIAM Journal on Matrix Analysis and Applications},
volume={26},
number={2},
pages={377--389},
year={2004},
publisher={SIAM}
}

@Article{wu482008,
title={Symmetric-triangular decomposition and its applications part II:  {Preconditioners} for indefinite systems},
author={Wu, Xiaonan and Golub, Gene H and Cuminato, Jos{\'e} A and Yuan, Jin Yun},
journal={BIT Numerical Mathematics},
volume={48},
number={1},
pages={139--162},
year={2008},
publisher={Springer}
}

 @Article{zhang3082017,
	 title={A new relaxed  {PSS} preconditioner for nonsymmetric saddle point problems},
	author={Zhang, Ke and Zhang, Ju-Li and Gu, Chuan-Qing},
	journal={Applied Mathematics and Computation},
	volume={308},
	pages={115--129},
	year={2017},
	publisher={Elsevier}
}
@book{hansen32006,
title={Deblurring images: matrices, spectra, and filtering},
author={Hansen, Per Christian and Nagy, James G and O'leary, Dianne P},
volume={3},
year={2006},
publisher={SIAM}
}

@Article{zheng3132017,
	title={Extended shift-splitting preconditioners for saddle point problems},
	author={Zheng, Qingqing and Lu, Linzhang},
	journal={Journal of Computational and Applied Mathematics},
	volume={313},
	pages={70--81},
	year={2017},
	publisher={Elsevier}
	}
@Article{sturler262005,
	title={Block-diagonal and constraint preconditioners for nonsymmetric indefinite linear systems.  {Part}  {I}:  {Theory}},
	author={de Sturler, Eric and Liesen, J{\"o}rg},
	journal={SIAM Journal on Scientific Computing},
	volume={26},
	number={5},
	pages={1598--1619},
	year={2005},
	publisher={SIAM}
	}
@article{bai2372013,
	title={Eigenvalue estimates for saddle point matrices of  {Hermitian} and indefinite leading blocks},
	author={Bai, Zhong-Zhi},
	journal={Journal of Computational and Applied Mathematics},
	volume={237},
	number={1},
	pages={295--306},
	year={2013},
	publisher={Elsevier}
}
@article{benzi272006,
	title={Preconditioned iterative methods for weighted {Toeplitz} least squares problems},
	author={Benzi, Michele and Ng, Michael K},
	journal={SIAM Journal on Matrix Analysis and Applications},
	volume={27},
	number={4},
	pages={1106--1124},
	year={2006},
	publisher={SIAM}
}

@article{chao682015,
	title={A note on semi-convergence of generalized parameterized inexact {Uzawa} method for singular saddle point problems},
	author={Chao, Zhen and Chen, Guoliang},
	journal={Numerical Algorithms},
	volume={68},
	number={1},
	pages={95--105},
	year={2015},
	publisher={Springer}
}

@article{liang702015,
	title={Semi-convergence analysis of the {GPIU} method for singular nonsymmetric saddle-point problems},
	author={Liang, Zhao-Zheng and Zhang, Guo-Feng},
	journal={Numerical Algorithms},
	volume={70},
	number={1},
	pages={151--169},
	year={2015},
	publisher={Springer}
}

@article{li2442014,
	title={Modified accelerated parameterized inexact {Uzawa} method for singular and nonsingular saddle point problems},
	author={Li, Xu and Wu, Yu-Jiang and Yang, Ai-Li and Yuan, Jin-Yun},
	journal={Applied Mathematics and Computation},
	volume={244},
	pages={552--560},
	year={2014},
	publisher={Elsevier}
}


@article{zhang2552014,
	title={Semi-convergence analysis of {Uzawa} methods for singular saddle point problems},
	author={Zhang, Naimin and Lu, Tzon-Tzer and Wei, Yimin},
	journal={Journal of Computational and Applied Mathematics},
	volume={255},
	pages={334--345},
	year={2014},
	publisher={Elsevier}
}

@article{zhang2192013,
	title={A generalization of parameterized inexact {Uzawa} method for singular saddle point problems},
	author={Zhang, Guo-Feng and Wang, Shan-Shan},
	journal={Applied Mathematics and Computation},
	volume={219},
	number={9},
	pages={4225--4231},
	year={2013},
	publisher={Elsevier}
}





@article{chao662014,
	title={A generalized preconditioned {HSS} method for singular saddle point problems},
	author={Chao, Zhen and Zhang, Naimin},
	journal={Numerical Algorithms},
	volume={66},
	number={2},
	pages={203--221},
	year={2014},
	publisher={Springer}
}

@article{zhang2382013,
	title={Constraint preconditioners for solving singular saddle point problems},
	author={Zhang, Naimin and Shen, Pan},
	journal={Journal of Computational and Applied Mathematics},
	volume={238},
	pages={116--125},
	year={2013},
	publisher={Elsevier}
}

@article{wang632013,
	title={Preconditioned {AHSS} iteration method for singular saddle point problems},
	author={Wang, Shan-Shan and Zhang, Guo-Feng},
	journal={Numerical Algorithms},
	volume={63},
	number={3},
	pages={521--535},
	year={2013},
	publisher={Springer}
}

@article{chen2692015,
	title={A generalized shift-splitting preconditioner for singular saddle point problems},
	author={Chen, Cai-Rong and Ma, Chang-Feng},
	journal={Applied Mathematics and Computation},
	volume={269},
	pages={947--955},
	year={2015},
	publisher={Elsevier}
}
@article{cao712016,
	title={On semi-convergence of the generalized shift-splitting iteration method for singular nonsymmetric saddle point problems},
	author={Cao, Yang and Miao, Shu-Xin},
	journal={Computers \& Mathematics with Applications},
	volume={71},
	number={7},
	pages={1503--1511},
	year={2016},
	publisher={Elsevier}
}

@article{fan672014,
	title={A preconditioned {GLHSS} iteration method for non-{Hermitian} singular saddle point problems},
	author={Fan, Hong-Tao and Zheng, Bing},
	journal={Computers \& Mathematics with Applications},
	volume={67},
	number={3},
	pages={614--626},
	year={2014},
	publisher={Elsevier}
}



@article{fan542017,
	title={A generalized modified {SOR}-like method for the singular saddle point problems},
	author={Fan, Hong-Tao and Zhu, Xin-Yun and Zheng, Bing},
	journal={Journal of Applied Mathematics and Computing},
	volume={54},
	number={1-2},
	pages={199--212},
	year={2017},
	publisher={Springer}
}

@article{shen722016,
	title={Generalized shift-splitting preconditioners for nonsingular and singular generalized saddle point problems},
	author={Shen, Qin-Qin and Shi, Quan},
	journal={Computers \& Mathematics with Applications},
	volume={72},
	number={3},
	pages={632--641},
	year={2016},
	publisher={Elsevier}
}

@article{salkuyeh7420172,
	title={A modification of the generalized shift-splitting method for singular saddle point problems},
	author={Salkuyeh, Davod Khojasteh and Rahimian, Maryam},
	journal={Computers \& Mathematics with Applications},
	volume={74},
	number={12},
	pages={2940--2949},
	year={2017},
	publisher={Elsevier}
}





@article{huang2018semi,
	title={Semi-convergence analysis of the {GSS} iteration methods for singular saddle point problems},
	author={Huang, Zhuo-Hong and Huang, Ting-Zhu},
	journal={Journal of Computational and Applied Mathematics},
	volume={328},
	pages={1--11},
	year={2018},
	publisher={Elsevier}
}

@article{ren3112017,
	title={Spectral analysis of the generalized shift-splitting preconditioned saddle point problem},
	author={Ren, Zhi-Ru and Cao, Yang and Niu, Qiang},
	journal={Journal of Computational and Applied Mathematics},
	volume={311},
	pages={539--550},
	year={2017},
	publisher={Elsevier}
}

 

@article{yang2822015,
	title={General constraint preconditioning iteration method for singular saddle-point problems},
	author={Yang, Ai-Li and Zhang, Guo-Feng and Wu, Yu-Jiang},
	journal={Journal of Computational and Applied Mathematics},
	volume={282},
	pages={157--166},
	year={2015},
	publisher={Elsevier}
}

 

@article{chao732016,
	title={A generalized modified {HSS} method for singular complex symmetric linear systems},
	author={Chao, Zhen and Chen, Guo-Liang},
	journal={Numerical Algorithms},
	volume={73},
	number={1},
	pages={77--89},
	year={2016},
	publisher={Springer}
}

@article{chao762018,
	title={On the semi-convergence of regularized {HSS} iteration methods for singular saddle point problems},
	author={Chao, Zhen and Chen, Guoliang and Guo, Ye},
	journal={Computers \& Mathematics with Applications},
	volume={76},
	number={2},
	pages={438--450},
	year={2018},
	publisher={Elsevier}
}




@article{cao842018,
	title={Regularized {DPSS} preconditioners for non-{Hermitian} saddle point problems},
	author={Cao, Yang},
	journal={Applied Mathematics Letters},
	volume={84},
	pages={96--102},
	year={2018},
	publisher={Elsevier}
}

@article{liang782018,
	title={Semi-convergence analysis of preconditioned deteriorated {PSS} iteration method for singular saddle point problems},
	author={Liang, Zhao-Zheng and Zhang, Guo-Feng},
	journal={Numerical Algorithms},
	volume={78},
	number={2},
	pages={379--404},
	year={2018},
	publisher={Springer}
}

 




@article{wang2982016,
	title={Spectral properties of a class of matrix splitting preconditioners for saddle point problems},
	author={Wang, Rui-Rui and Niu, Qiang and Ma, Fei and Lu, Lin-Zhang},
	journal={Journal of Computational and Applied Mathematics},
	volume={298},
	pages={138--151},
	year={2016},
	publisher={Elsevier}
}

@article{bai892010,
	title={On semi-convergence of {Hermitian} and skew-{Hermitian} splitting methods for singular linear systems},
	author={Bai, Zhong-Zhi},
	journal={Computing},
	volume={89},
	number={3-4},
	pages={171--197},
	year={2010},
	publisher={Springer}
}
@article{shi2692015,
	title={Eigenvalue bounds of the shift-splitting preconditioned singular nonsymmetric saddle-point matrices},
	author={Shi, Quan and Shen, Qin-Qin and Yao, Lin-Quan},
	journal={Journal of Inequalities and Applications},
	volume={269},
	pages={947-955},
	year={2015},
	publisher={Nature Publishing Group}
}
@article{huang752017,
	title={A generalized variant of the deteriorated {PSS} preconditioner for nonsymmetric saddle point problems},
	author={Huang, Zheng-Ge and Wang, Li-Gong and Xu, Zhong and Cui, Jing-Jing},
	journal={Numerical Algorithms},
	volume={75},
	number={4},
	pages={1161--1191},
	year={2017},
	publisher={Springer}
}
 
 


 
@article{bai142007,
	title={On successive-overrelaxation acceleration of the {Hermitian} and skew-{Hermitian} splitting iterations},
	author={Bai, Zhong-Zhi and Golub, Gene H and Ng, Michael K},
	journal={Numerical Linear Algebra with Applications},
	volume={14},
	number={4},
	pages={319--335},
	year={2007},
	publisher={Wiley Online Library}
}
@article{huang2552014,
	title={A practical formula for computing optimal parameters in the  {HSS} iteration methods},
	author={Huang, Yu-Mei},
	journal={Journal of Computational and Applied Mathematics},
	volume={255},
	pages={142--149},
	year={2014},
	publisher={Elsevier}
}
@article{chen2712015,
	title={On choices of iteration parameter in  {HSS} method},
	author={Chen, Fang},
	journal={Applied Mathematics and Computation},
	volume={271},
	pages={832--837},
	year={2015},
	publisher={Elsevier}
}
@Article{Saad141993,
	title={A {Flexible} inner-outer preconditioned  {GMRES} {Algorithm}},
	author={Saad, Yousef},
	journal={SIAM Journal on Scientific Computing},
	volume={14},
	number={2},
	pages={461--469},
	year={1993},
	publisher={SIAM}
}
@article{cao312013,
	title={A relaxed {HSS} preconditioner for saddle point problems from meshfree discretization.},
	author={Cao, Yang and Yao, Linquan and Jiang, Meiqun and Niu, Qiang},
	journal={Journal of Computational Mathematics},
	volume={31},
	number={4},
	pages={398--421},
	year={2013}
}
@article{brown181997,
	title={{GMRES} on (nearly) singular systems},
	author={Brown, Peter N and Walker, Homer F},
	journal={SIAM Journal on Matrix Analysis and Applications},
	volume={18},
	number={1},
	pages={37--51},
	year={1997},
	publisher={SIAM}
}
@Article{xie722016,
	title={A modified positive-definite and skew-{Hermitian} splitting preconditioner for generalized saddle point
	problems from the {Navier-Stokes} equation},
	author={Xie, Ya-Jun and  Ma, Chang-Feng},
	journal={Numerical Algorithms},
	volume={72},
	number={1},
	pages={243--258},
	year={2016},
	publisher={}
}
@article{arioli182002,
	title={A null space algorithm for mixed finite-element approximations of {Darcy's} equation},
	author={Arioli, Mario and Manzini, Gianmarco},
	journal={Communications in numerical methods in engineering},
	volume={18},
	number={9},
	pages={645--657},
	year={2002},
	publisher={Wiley Online Library}
}
@article{elman432002,
	title={Preconditioners for saddle point problems arising in computational fluid dynamics},
	author={Elman, Howard C},
	journal={Applied Numerical Mathematics},
	volume={43},
	number={1-2},
	pages={75--89},
	year={2002},
	publisher={Elsevier}
}
@article{elman902002,
	title={Performance and analysis of saddle point preconditioners for the discrete steady--state {Navier}-{Stokes} equations},
	author={Elman, Howard C and Silvester, David J and Wathen, Andrew J},
	journal={Numerische Mathematik},
	volume={90},
	number={4},
	pages={665--688},
	year={2002},
	publisher={Springer}
}
@book{fortin152000,
	title={Augmented Lagrangian methods: applications to the numerical solution of boundary-value problems},
	author={Fortin, Michel and Glowinski, Roland},
	volume={15},
	year={2000},
	publisher={Elsevier}
}

@article{benzi131993,
	title={Solution of equality-constrained quadratic programming problems by a projection iterative method},
	author={Benzi, Michele},
	journal={Rendiconti di  Matematica},
	volume={13},
	pages={275--296},
	year={1993}
}
@article{gill131992,
	title={Preconditioners for indefinite systems arising in optimization},
	author={Gill, Philip E and Murray, Walter and Poncele{\'o}n, Dulce B and Saunders, Michael A},
	journal={SIAM journal on matrix analysis and applications},
	volume={13},
	number={1},
	pages={292--311},
	year={1992},
	publisher={SIAM}
}
@book{gill1981,
	title={Practical optimization},
	author={Gill, Philip E and Murray, Walter and Wright, Margaret H},
	year={1981},
	publisher={Academic press}
}
@article{gould232001,
	title={On the solution of equality constrained quadratic programming problems arising in optimization},
	author={Gould, Nicholas IM and Hribar, Mary E and Nocedal, Jorge},
	journal={SIAM Journal on Scientific Computing},
	volume={23},
	number={4},
	pages={1376--1395},
	year={2001},
	publisher={SIAM}
}
 
@article{lukvsan51998,
	title={Indefinitely preconditioned inexact {Newton} method for large sparse equality constrained non-linear programming problems},
	author={Luk{\v{s}}an, Ladislav and Vl{\v{c}}ek, Jan},
	journal={Numerical linear algebra with applications},
	volume={5},
	number={3},
	pages={219--247},
	year={1998},
	publisher={Wiley Online Library}
}

@article{betts2002,
	title={Practical methods for optimal control using nonlinear programming},
	author={Betts, JT and Kolmanovsky, I},
	journal={Applied Mechanics Reviews},
	volume={55},
	pages={B68},
	year={2002}
}
@book{horn1990,
	title={Matrix analysis},
	author={Horn, Roger A and Horn, Roger A and Johnson, Charles R},
	year={1990},
	publisher={Cambridge university press}
}
@book{bjorck1996,
	title={Numerical methods for least squares problems},
	author={Bjorck, Ake},
	volume={51},
	year={1996},
	publisher={SIAM}
}
@book{strang1986,
	title={Introduction to applied mathematics},
	author={Strang, Gilbert and Aarikka, Kaija},
	volume={16},
	year={1986},
	publisher={Wellesley-Cambridge Press Wellesley, MA}
}
@book{brezzi2012,
	title={Mixed and hybrid finite element methods},
	author={Brezzi, Franco and Fortin, Michel},
	volume={15},
	year={2012},
	publisher={Springer Science \& Business Media}
}
@article{perugia72000,
title={Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations},
author={Perugia, Ilaria and Simoncini, Valeria},
journal={Numerical linear algebra with applications},
volume={7},
number={7-8},
pages={585--616},
year={2000},
publisher={Wiley Online Library}
}
@article{warsa112004,
title={Preconditioning a mixed discontinuous finite element method for radiation diffusion},
author={Warsa, James S and Benzi, Michele and Wareing, Todd A and Morel, Jim E},
journal={Numerical Linear Algebra with Applications},
volume={11},
number={8-9},
pages={795--811},
year={2004},
publisher={Wiley Online Library}
}
@article{benzi312009,
title={A generalization of the {Hermitian} and skew-{Hermitian} splitting iteration},
author={Benzi, Michele},
journal={SIAM Journal on Matrix Analysis and Applications},
volume={31},
number={2},
pages={360--374},
year={2009},
publisher={SIAM}
}
@article{zhou2712015,
title={A generalization of the {Hermitian} and skew--{Hermitian} splitting iteration method for solving {Sylvester} equations},
author={Zhou, Rong and Wang, Xiang and Tang, Xiao-Bin},
journal={Applied Mathematics and Computation},
volume={271},
pages={609--617},
year={2015},
publisher={Elsevier}
}
@article{salkuyeh82014,
title={The {Picard--HSS} iteration method for absolute value equations},
author={Salkuyeh, Davod Khojasteh},
journal={Optimization Letters},
volume={8},
number={8},
pages={2191--2202},
year={2014},
publisher={Springer}
}
@article{cao2642015,
title={Two variants of the {PMHSS} iteration method for a class of complex symmetric indefinite linear systems},
author={Cao, Yang and Ren, Zhi-Ru},
journal={Applied Mathematics and Computation},
volume={264},
pages={61--71},
year={2015},
publisher={Elsevier}
}
@article{bai242006,
title={A shift-splitting preconditioner for non-{Hermitian} positive definite matrices},
author={Bai, Zhong-zhi and Yin, Jun-feng and Su, Yang-feng},
journal={Journal of Computational Mathematics},
volume={24},
number={4},
pages={539--552},
year={2006},
publisher={JSTOR}
}
@article{li2342014,
title={A modified {GPSS} method for non-positive definite linear systems},
author={Li, Wen-Wei and Wang, Xiang},
journal={Applied Mathematics and Computation},
volume={234},
pages={253--259},
year={2014},
publisher={Elsevier}
}
@article{bai562011,
 	title={On preconditioned {MHSS} iteration methods for complex symmetric linear systems},
 	author={Bai, Zhong-Zhi and Benzi, Michele and Chen, Fang},
 	journal={Numerical Algorithms},
 	volume={56},
 	number={2},
 	pages={297--317},
 	year={2011},
 	publisher={Springer}
 }


@BOOK{drkhojasteh2,
	AUTHOR={خجسته سالکویه, داود},
	TITLE={  جبر خطی عددی},
	YEAR={1395},
	PUBLISHER={انتشارات جهاد دانشگاهی},
	LANGUAGE = {Persian}
}
 
@conference{conferyazd,
	title={A preconditioner based on the shift-splitting method for
	generalized saddle point problems},
	author={Salkuyeh, Davod Khojasteh and Masoudi, Mohsen and Hezari, Davod},
	booktitle={46th Annual Iranian Mathematics Conference},
	volume={1},
	pages={1061--1064},
    month= {Aug.},
	year={2015},
	address =  { Yazd,Iran},
	organization={Yazd University}
}
@book{datta2010,
	title={Numerical linear algebra and applications},
	author={Datta, Biswa Nath},
	volume={116},
	year={2010},
	publisher={SIAM}
}
@conference{conferyazdfa,
	title={ یک پیش‌شرط ساز بر پایه روش تجزیه انتقال-شکافت برای حل مسائل نقطه زینی},
	author={خجسته سالکویه, داود       and مسعودی, محسن and هزاری, داود},
	booktitle={چهل و ششمین کنفرانس سالانه ریاضی ایران},
	volume={1},
	pages={1061--1064},
	year={1394},
	month={شهریور},
		organization={دانشگاه یزد},
		note = {\url{http://confs.yazd.ac.ir/AIMC46/}},
		LANGUAGE = {Persian}
}


@BOOK{drkhojasteh1,
	AUTHOR={خجسته سالکویه, داود},
	TITLE={روش‌های عددی در جبر خطی},
	YEAR={1396},
	PUBLISHER={انتشارات دانشگاه گیلان},
	LANGUAGE =   {Persian}
}
@BOOK{drkhojasteh3,
AUTHOR={خجسته سالکویه, داود},
	TITLE={روش‌های تکراری برای حل دستگاه معادلات خطی},
	YEAR={1394},
	PUBLISHER={موج چهارم},
	LANGUAGE =   {Persian}
}
@BOOK{drkhojasteh4,
AUTHOR={خجسته سالکویه, داود},
	TITLE={روش‌های عددی در جبرخطی},
	YEAR={1390},
	PUBLISHER={آموزش‌های بنیادی},
	LANGUAGE =   {Persian}
}
  
@book{saad2003,
  title={Iterative methods for sparse linear systems},
  author={Saad, Yousef},
  year={2003},
  publisher={SIAM}
}
 
