Pearson, John W.; Gondzio, Jacek On block triangular preconditioners for the interior point solution of PDE-constrained optimization problems. (English) Zbl 1450.65175 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 503-510 (2018). MSC: 65N55 65K10 65N30 65H10 65F08 65F05 65F22 49J20 PDF BibTeX XML Cite \textit{J. W. Pearson} and \textit{J. Gondzio}, Lect. Notes Comput. Sci. Eng. 125, 503--510 (2018; Zbl 1450.65175) Full Text: DOI
Vatani, M.; Hovd, M.; Olaru, S. Control design for discrete-time bilinear systems using the scalarized Schur complement. (English) Zbl 1379.93067 Int. J. Robust Nonlinear Control 27, No. 18, 4492-4506 (2017). MSC: 93C55 93B51 93C10 93D30 PDF BibTeX XML Cite \textit{M. Vatani} et al., Int. J. Robust Nonlinear Control 27, No. 18, 4492--4506 (2017; Zbl 1379.93067) Full Text: DOI
Pearson, John W. Fast iterative solvers for large matrix systems arising from time-dependent Stokes control problems. (English) Zbl 1346.65035 Appl. Numer. Math. 108, 87-101 (2016). MSC: 65K10 49J20 65F05 PDF BibTeX XML Cite \textit{J. W. Pearson}, Appl. Numer. Math. 108, 87--101 (2016; Zbl 1346.65035) Full Text: DOI
Pearson, John W. Preconditioned iterative methods for Navier-Stokes control problems. (English) Zbl 1349.76087 J. Comput. Phys. 292, 194-207 (2015). MSC: 76D55 49M25 65M60 76D05 65K10 PDF BibTeX XML Cite \textit{J. W. Pearson}, J. Comput. Phys. 292, 194--207 (2015; Zbl 1349.76087) Full Text: DOI
Pearson, John W. On the development of parameter-robust preconditioners and commutator arguments for solving Stokes control problems. (English) Zbl 1312.65104 ETNA, Electron. Trans. Numer. Anal. 44, 53-72 (2015). MSC: 65K10 49J20 76D07 65F08 49M25 PDF BibTeX XML Cite \textit{J. W. Pearson}, ETNA, Electron. Trans. Numer. Anal. 44, 53--72 (2015; Zbl 1312.65104) Full Text: EMIS
Stoll, Martin One-shot solution of a time-dependent time-periodic PDE-constrained optimization problem. (English) Zbl 1303.65050 IMA J. Numer. Anal. 34, No. 4, 1554-1577 (2014). MSC: 65K10 49J20 49M25 65F08 65T50 PDF BibTeX XML Cite \textit{M. Stoll}, IMA J. Numer. Anal. 34, No. 4, 1554--1577 (2014; Zbl 1303.65050) Full Text: DOI
Gonçalves, Etereldes; Sarkis, Marcus Analysis of robust parameter-free multilevel methods for Neumann boundary control problems. (English) Zbl 1393.65051 Comput. Methods Appl. Math. 13, No. 2, 207-235 (2013). MSC: 65N30 65N20 93C20 49J20 65N50 65F10 65K10 65F08 PDF BibTeX XML Cite \textit{E. Gonçalves} and \textit{M. Sarkis}, Comput. Methods Appl. Math. 13, No. 2, 207--235 (2013; Zbl 1393.65051) Full Text: DOI
Pearson, John W.; Stoll, Martin Fast iterative solution of reaction-diffusion control problems arising from chemical processes. (English) Zbl 1281.65095 SIAM J. Sci. Comput. 35, No. 5, B987-B1009 (2013). MSC: 65K10 49J20 49M15 65F08 PDF BibTeX XML Cite \textit{J. W. Pearson} and \textit{M. Stoll}, SIAM J. Sci. Comput. 35, No. 5, B987--B1009 (2013; Zbl 1281.65095) Full Text: DOI
Sun, Fengqi Controller design for uncertain time-delay systems. (Chinese. English summary) Zbl 1289.93108 J. Harbin Inst. Technol. 44, No. 11, 129-132 (2012). MSC: 93D05 93B35 93B51 93B52 93C41 PDF BibTeX XML Cite \textit{F. Sun}, J. Harbin Inst. Technol. 44, No. 11, 129--132 (2012; Zbl 1289.93108)
Pearson, John W.; Wathen, Andrew J. A new approximation of the Schur complement in preconditioners for PDE-constrained optimization. (English) Zbl 1274.65187 Numer. Linear Algebra Appl. 19, No. 5, 816-829 (2012). Reviewer: Martin Stoll (Magdeburg) MSC: 65K10 65F08 65F10 49J20 49M25 PDF BibTeX XML Cite \textit{J. W. Pearson} and \textit{A. J. Wathen}, Numer. Linear Algebra Appl. 19, No. 5, 816--829 (2012; Zbl 1274.65187) Full Text: DOI
Benzi, Michele; Ferragut, Luis; Pennacchio, Micol; Simoncini, Valeria Solution of linear systems from an optimal control problem arising in wind simulation. (English) Zbl 1240.65194 Numer. Linear Algebra Appl. 17, No. 6, 895-915 (2010). MSC: 65K10 65F10 65F08 65F05 49M30 65F50 76G25 76M10 49J20 PDF BibTeX XML Cite \textit{M. Benzi} et al., Numer. Linear Algebra Appl. 17, No. 6, 895--915 (2010; Zbl 1240.65194) Full Text: DOI
Pai, Neng-Sheng; Yau, Her-Terng Robust exponential converge controller design for a unified chaotic system with structured uncertainties via LMI. (English) Zbl 1191.93046 Discrete Dyn. Nat. Soc. 2010, Article ID 948590, 10 p. (2010). MSC: 93B52 93D05 93C15 34H10 93B35 PDF BibTeX XML Cite \textit{N.-S. Pai} and \textit{H.-T. Yau}, Discrete Dyn. Nat. Soc. 2010, Article ID 948590, 10 p. (2010; Zbl 1191.93046) Full Text: DOI EuDML
Neytcheva, Maya; Bängtsson, Erik Preconditioning of nonsymmetric saddle point systems as arising in modelling of viscoelastic problems. (English) Zbl 1173.74045 ETNA, Electron. Trans. Numer. Anal. 29(2007-2008), 193-211 (2008). MSC: 74S05 74L05 65F10 74D05 86A40 PDF BibTeX XML Cite \textit{M. Neytcheva} and \textit{E. Bängtsson}, ETNA, Electron. Trans. Numer. Anal. 29, 193--211 (2008; Zbl 1173.74045) Full Text: EMIS EuDML
Gräser, C. Globalization of nonsmooth Newton methods for optimal control problems. (English) Zbl 1157.65402 Kunisch, Karl (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10–14, 2007. Berlin: Springer (ISBN 978-3-540-69776-3/hbk). 605-612 (2008). MSC: 65K10 49J20 45M15 PDF BibTeX XML Cite \textit{C. Gräser}, in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10--14, 2007. Berlin: Springer. 605--612 (2008; Zbl 1157.65402) Full Text: DOI
Mathew, Tarek P. A. Domain decomposition methods for the numerical solution of partial differential equations. (English) Zbl 1147.65101 Lecture Notes in Computational Science and Engineering 61. Berlin: Springer (ISBN 978-3-540-77205-7/pbk). xiii, 764 p. (2008). Reviewer: Dietrich Braess (Bochum) MSC: 65N55 65M55 35K15 35J25 35P15 65N25 65K10 49J40 65F10 65N30 65M60 65N50 65M50 78A45 PDF BibTeX XML Cite \textit{T. P. A. Mathew}, Domain decomposition methods for the numerical solution of partial differential equations. Berlin: Springer (2008; Zbl 1147.65101)
Mathew, T. P.; Sarkis, M.; Schaerer, C. E. Analysis of block matrix preconditioners for elliptic optimal control problems. (English) Zbl 1199.65218 Numer. Linear Algebra Appl. 14, No. 4, 257-279 (2007). MSC: 65K10 65F10 65F50 49N10 49M25 PDF BibTeX XML Cite \textit{T. P. Mathew} et al., Numer. Linear Algebra Appl. 14, No. 4, 257--279 (2007; Zbl 1199.65218) Full Text: DOI
Ivanov, Ivan Ganchev On the matrix equation \(X = Q - S^*X^{\dagger}S\). (English) Zbl 1122.65040 Numer. Funct. Anal. Optimization 28, No. 3-4, 353-365 (2007). Reviewer: Frank Uhlig (Auburn) MSC: 65F30 15A24 15A45 93E20 65K10 49N10 49J55 PDF BibTeX XML Cite \textit{I. G. Ivanov}, Numer. Funct. Anal. Optim. 28, No. 3--4, 353--365 (2007; Zbl 1122.65040) Full Text: DOI
Li, Zhongze; Saad, Yousef SchurRAS: A restricted version of the overlapping Schur complement preconditioner. (English) Zbl 1099.65034 SIAM J. Sci. Comput. 27, No. 5, 1787-1801 (2006). MSC: 65F10 65F50 65Y05 65N55 65F35 PDF BibTeX XML Cite \textit{Z. Li} and \textit{Y. Saad}, SIAM J. Sci. Comput. 27, No. 5, 1787--1801 (2006; Zbl 1099.65034) Full Text: DOI
Shen, Chi; Zhang, Jun; Wang, Kai Distributed block independent set algorithms and parallel multilevel ILU preconditioners. (English) Zbl 1123.65301 J. Parallel Distrib. Comput. 65, No. 3, 331-346 (2005). MSC: 65F10 65F50 65N55 65Y05 PDF BibTeX XML Cite \textit{C. Shen} et al., J. Parallel Distrib. Comput. 65, No. 3, 331--346 (2005; Zbl 1123.65301) Full Text: DOI
Heinkenschloss, Matthias; Nguyen, Hoang Balancing Neumann-Neumann methods for elliptic optimal control problems. (English) Zbl 1066.65072 Kornhuber, Ralf (ed.) et al., Domain decomposition methods in science and engineering. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Berlin: Springer (ISBN 3-540-22523-4/pbk). Lecture Notes in Computational Science and Engineering 40, 589-596 (2005). MSC: 65K10 49J20 49M27 PDF BibTeX XML Cite \textit{M. Heinkenschloss} and \textit{H. Nguyen}, Lect. Notes Comput. Sci. Eng. 40, 589--596 (2005; Zbl 1066.65072) Full Text: DOI
Hackbusch, Wolfgang; Khoromskij, Boris N.; Kriemann, Ronald Direct Schur complement method by hierarchical matrix techniques. (English) Zbl 1066.65143 Kornhuber, Ralf (ed.) et al., Domain decomposition methods in science and engineering. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Berlin: Springer (ISBN 3-540-22523-4/pbk). Lecture Notes in Computational Science and Engineering 40, 581-588 (2005). MSC: 65N55 65F10 65N30 65N38 35J25 PDF BibTeX XML Cite \textit{W. Hackbusch} et al., Lect. Notes Comput. Sci. Eng. 40, 581--588 (2005; Zbl 1066.65143) Full Text: DOI
Lien, Chang-Hua An efficient method to design robust observer-based control of uncertain linear systems. (English) Zbl 1074.93018 Appl. Math. Comput. 158, No. 1, 29-44 (2004). Reviewer: Didier Henrion (Toulouse) MSC: 93B51 93D09 93D15 15A39 PDF BibTeX XML Cite \textit{C.-H. Lien}, Appl. Math. Comput. 158, No. 1, 29--44 (2004; Zbl 1074.93018) Full Text: DOI
Gerardo-Giorda, Luca; Le Tallec, Patrick; Nataf, Frédéric A Robin-Robin preconditioner for advection-diffusion equations with discontinuous coefficients. (English) Zbl 1053.76039 Comput. Methods Appl. Mech. Eng. 193, No. 9-11, 745-764 (2004). MSC: 76M10 76R99 PDF BibTeX XML Cite \textit{L. Gerardo-Giorda} et al., Comput. Methods Appl. Mech. Eng. 193, No. 9--11, 745--764 (2004; Zbl 1053.76039) Full Text: DOI
Brezinski, Claude Computational aspects of linear control. (English) Zbl 1010.93003 Numerical Methods and Algorithms. 1. Dordrecht: Kluwer Academic Publishers. ix, 295 p. EUR 115.00; $ 105.00; £72.00 (2002). Reviewer: Didier Henrion (Toulouse) MSC: 93-02 93B40 65-02 93B11 15A06 15A24 41A21 65F22 65F05 PDF BibTeX XML Cite \textit{C. Brezinski}, Computational aspects of linear control. Dordrecht: Kluwer Academic Publishers (2002; Zbl 1010.93003)
Bauer, Andrew C.; Patra, Abani K. Performance of parallel preconditioners for adaptive \(hp\) FEM discretization of incompressible flows. (English) Zbl 1005.76054 Commun. Numer. Methods Eng. 18, No. 5, 305-313 (2002). MSC: 76M10 76D05 65F10 PDF BibTeX XML Cite \textit{A. C. Bauer} and \textit{A. K. Patra}, Commun. Numer. Methods Eng. 18, No. 5, 305--313 (2002; Zbl 1005.76054) Full Text: DOI
Sayed, Ali H.; Chen, Hong A uniqueness result concerning a robust regularized least-squares solution. (English) Zbl 1003.93055 Syst. Control Lett. 46, No. 5, 361-369 (2002). MSC: 93E24 65K10 65F22 PDF BibTeX XML Cite \textit{A. H. Sayed} and \textit{H. Chen}, Syst. Control Lett. 46, No. 5, 361--369 (2002; Zbl 1003.93055) Full Text: DOI
Saad, Y. Parallel iterative methods for sparse linear systems. (English) Zbl 1002.65042 Butnariu, Dan (ed.) et al., Inherently parallel algorithms in feasibility and optimization and their applications. Research workshop, Haifa, Israel, March 13-16, 2000. Amsterdam: North-Holland/ Elsevier. Stud. Comput. Math. 8, 423-440 (2001). MSC: 65F10 65F35 76T99 65F50 65Y05 65N55 PDF BibTeX XML Cite \textit{Y. Saad}, Stud. Comput. Math. 8, 423--440 (2001; Zbl 1002.65042)
Saad, Yousef; Sosonkina, Maria Distributed Schur complement techniques for general sparse linear systems. (English) Zbl 0955.65020 SIAM J. Sci. Comput. 21, No. 4, 1337-1356 (1999). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 65N55 65F35 65F50 65Y05 PDF BibTeX XML Cite \textit{Y. Saad} and \textit{M. Sosonkina}, SIAM J. Sci. Comput. 21, No. 4, 1337--1356 (2000; Zbl 0955.65020) Full Text: DOI
Saad, Yousef; Zhang, Jun Diagonal threshold techniques in robust multi-level ILU preconditioners for general sparse linear systems. (English) Zbl 0982.65057 Numer. Linear Algebra Appl. 6, No. 4, 257-280 (1999). Reviewer: Alena Pravdová (Praha) MSC: 65F35 65Y20 65F10 65F50 PDF BibTeX XML Cite \textit{Y. Saad} and \textit{J. Zhang}, Numer. Linear Algebra Appl. 6, No. 4, 257--280 (1999; Zbl 0982.65057) Full Text: DOI
Morandi Cecchi, M.; Marcuzzi, F. A fast numerical homogenization algorithm for finite element analysis. (English) Zbl 0949.65123 Int. J. Numer. Methods Eng. 46, No. 10, 1639-1649 (1999). Reviewer: Michel Bernadou (Le Chesnay) MSC: 65N30 76M50 76B15 35J25 PDF BibTeX XML Cite \textit{M. Morandi Cecchi} and \textit{F. Marcuzzi}, Int. J. Numer. Methods Eng. 46, No. 10, 1639--1649 (1999; Zbl 0949.65123) Full Text: DOI
Khoromskij, B. N.; Mazurkevich, G. E.; Wittum, G. Frequency filtering for elliptic interface problems with Lagrange multipliers. (English) Zbl 0943.65076 SIAM J. Sci. Comput. 21, No. 2, 421-440 (1999). Reviewer: Ll.G.Chambers (Bangor) MSC: 65K10 65F10 35J85 49J40 65N30 49M15 PDF BibTeX XML Cite \textit{B. N. Khoromskij} et al., SIAM J. Sci. Comput. 21, No. 2, 421--440 (1999; Zbl 0943.65076) Full Text: DOI
Xu, Jinchao; Zou, Jun Some nonoverlapping domain decomposition methods. (English) Zbl 0913.65115 SIAM Rev. 40, No. 4, 857-914 (1998). Reviewer: C.I.Gheorghiu (Cluj-Napoca) MSC: 65N55 65N30 65F35 35J25 65F10 PDF BibTeX XML Cite \textit{J. Xu} and \textit{J. Zou}, SIAM Rev. 40, No. 4, 857--914 (1998; Zbl 0913.65115) Full Text: DOI
Barle, Janez; Grad, Janez On the use of dense matrix techniques within sparse simplex. (English) Zbl 0784.90047 Ann. Oper. Res. 43, No. 1-4, 3-14 (1993). MSC: 90C05 PDF BibTeX XML Cite \textit{J. Barle} and \textit{J. Grad}, Ann. Oper. Res. 43, No. 1--4, 3--14 (1993; Zbl 0784.90047) Full Text: DOI
Krechel, Arno; Plum, Hans-Joachim A parallel block preconditioned conjugate gradient method. (English) Zbl 0742.65024 Parallel algorithms for partial differential equations, Proc. 6th GAMM- Semin., Kiel/Ger. 1990, Notes Numer. Fluid Mech. 31, 157-176 (1991). Reviewer: S.Wright (Argonne) MSC: 65F10 65F35 65Y05 65Y20 PDF BibTeX XML Cite \textit{A. Krechel} and \textit{H.-J. Plum}, in: Parallel algorithms for partial differential equations. Proceedings of the sixth GAMM-Seminar, Kiel, Germany, January 19-21, 1990. Braunschweig: Vieweg. 157--176 (1991; Zbl 0742.65024)