Official personal page of Miro Rozloznik


Institute of Computer Science

Curriculum Vitae of Miro Rozloznik

Personal data:

Born: August 4, 1969, Roznava, Czechoslovakia

Citizenship: Czech Republic, Slovak Republic

Marital status: Married with Zdenka, two children Denisa and Klara

Education:

M.Sc. (Ing. Degree) in Applied Mathematics (Mathematical Engineering), Czech Technical University, Faculty of Nuclear Science and Engineering, Prague, June 1992, Supervisor: Zdenek Strakos, title of the diploma work: Biconjugate gradient-type methods for the solution of large nonsymetric systems of linear equations (awarded by Red diploma).
Ph.D. in Applied Mathematics, Faculty of Nuclear Science and Physical Engineering, Czech Technical University and Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague, March 1997. Ph.D. Thesis: Numerical Stability of GMRES, Thesis Advisor: Zdenek Strakos.
Habilitation at the Technical University of Liberec, Department of Modelling of Processes, Faculty of Mechatronics and Interdisciplinary Studies, Liberec, April 2004. Habilitation Thesis: Iterative solution of saddle point problems in mathematical modelling.

Employment:

July 2000 -- Research Fellow, Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague, Senior Research Fellow after evaluation in Spring 2003, since 2005 Head of the Department of Computational Methods.
January 2000—Technical University of Liberec, Department of Modelling of Processes, Faculty of Mechatronics and Interdisciplinary Studies, Liberec, Associate Professor (Doc.) since Spring 2004.
January 1999 -- July 2000: Postdoctoral research fellow, Seminar for Applied Mathematics, Swiss Federal Institute of Technology (SAM ETH), Zurich.
April 1998 - December 1998 : Postdoctoral research fellow, Swiss Center for Scientific Computing (CSCS/SCSC), Swiss Federal Institute of Technology ETH, Zurich.
September 1994-October 1996: Ph.D. student, Czech Technical University, Faculty of Nuclear Sciences and Physical Engineering, Prague (external doctoral study staying at the Institute of Computer Science, Academy of Sciences).
October 1996-February 1998: Civil military service, Department of Computer Communications
August 1992-August 1994: Research assistant, Institute of Computer Science, Academy of Sciences of the Czech Republic (before 1993 Institute of Information and Computing Sciences, Czechoslovak Academy of Sciences).

Teaching Experience:

M. Rozloznik: Uvod do linearni algebry a geometrie (Introduction to linear algebra and geometry), skripta, Technical University of Liberec, Faculty of Mechatronics and Interdisciplinary Studies, Liberec, 2005, pp. 88.
Winter 2004, 2005,2006,2007: Introduction to linear algebra, Technical University of Liberec, Faculty of Mechatronics and Interdisciplinary Studies, Liberec.
Winter 2002,2003, 2005,2006,2007: Implementation of numerical methods, Technical University of Liberec, Faculty of Mechatronics and Interdisciplinary Studies, Liberec.
Summer 2003,2004: Advanced numerical linear algebra (with Z. Strakos), Technical University of Liberec, Faculty of Mechatronics and Interdisciplinary Studies, Liberec.
Summer 2002: Mathematics II, Technical University of Liberec, Faculty of Mechatronics and Interdisciplinary Studies, Liberec, 2003.
Winter 1999: Lineare Algebra (Prof. U. Lang) - Uebungen, Swiss Federal Institute of Technology, (ETH), Department of Mathematics, Abt. IIIA/D, Zurich.
Winter 1995-Summer 1996: Linear algebra and geometry (Prof.J. Pytlicek)- Exercises, Czech Technical University, Faculty of Nuclear Sciences and Physical Engineering, Prague.
occassionally Numerical software (with Dr. M. Tuma), Czech Technical University, Faculty of Nuclear Sciences and Physical Engineering, Prague, 1995-1997.

Award and Grant Support:

Award of the Academy of Sciences for outstanding result of a great scientific importance, 2006,the member of the research team headed by Zdenek Strakos, May 2006.
Otto Wichterle Prize for young scientists, 2002, awarded by the Academy of Sciences of the Czech Republic, Prague, May 2002.
I. Babuska Prize (2nd place) for the best work in computer science submitted by students and young scientists, 1996 for the work Numerical Stability of GMRES, awarded by the Czech Association for Mechanics and the Union of Czech Mathematicians and Physicists, December 1996.
Grant No. 101/00/1035, Grant Agency of the Czech Republic, January 2000.
Postdoctoral Grant no. 201/98/P108, Analysis of the numerical stability of iterative methods for solution of large nonsymmetric linear systems, Grant Agency of the Czech Republic, January 1998.
Grant no. E1030701 supporting the publication of the thesis Numerical Stability of GMRES from the Grant Agency of the Academy of Sciences of the Czech Republic, April 1997.

Recent Research Reports:

M. Rozloznik, G. Shklarski and S. Toledo: Partitioned triangular tridiagonalization, To appear in ACM Transactions on Mathematical Software.
P. Jiranek, M. Rozloznik: Adaptive version of Simpler GMRES. To appear in Num. Algorithms Volume 53, Issue 1 (2010), Page 93-112.

Journal Publications:

P. Jiranek, M. Rozloznik, M.H. Gutknecht: How to make simpler GMRES and GCR more stable, accepted for publication in SIAM Journal of Matrix Analysis and Applications (2008), Vol. 30, No. 4, pp. 1483—1499.
P. Jiranek, M. Rozloznik: Maximum attainable accuracy of inexact saddle point solvers, SIAM Journal of Matrix Analysis and Applications (2008), Vol. 29, No. 4, pp. 1297—1321.
P. Jiranek, M. Rozloznik: Limiting accuracy of segregated solution methods for nonsymmetric saddle point problems, Journal of Computational and Applied Mathematics 215 (2008), pp. 28-37.
C.C. Paige, M. Rozloznik, Z. Strakos: Modified Gram-Schmidt (MGS), least squares and backward stability of MGS-GMRES, SIAM J. Matrix Anal. and Appl. (2006), Vol. 28, No. 1, pp. 264--284.
M. Arioli, J. Maryska, M. Rozloznik,M. Tuma: D ual variable methodsfor mixed-hybrid finite element approximation of the potential fluid flow problem in porous media, ETNA (2006), Vol. 22, pp. 17-40.
L. Giraud, J. Langou, M. Rozlozník, and J. van den Eshof : Rounding error analysis of the classical Gram-Schmidt orthogonalization process , Numerische Mathematik (2005) 101: 87-100 (previous version without the result on CGS: L. Giraud, J. Langou , M. Rozloznik: On the round-off error analysis of the Gram-Schmidt algorithm with reorthogonalization, Research Report TR/PA/02/33, CERFACS, Toulouse, France, April, 2002).
L. Giraud, J. Langou , M. Rozloznik: On the loss of orthogonality in the Gram-Schmidt orthogonalization process , Computers & Mathematics with Applications 50 (2005), pp. 1069--1075.
M. Rozloznik, V. Simoncini : Krylov subspace methods for saddle point problems with indefinite preconditioning , SIAM J. Matrix Anal. and Appl. (2002), Vol. 24, No. 2, pp. 368--391.
J. Liesen, M. Rozloznik, Z. Strakos: Least squares residuals and minimal residual methods , SIAM J. Sci. Comput. (2002), Vol. 23, No. 5, pp. 1064-8275 .
M. H. Gutknecht , M. Rozloznik: A framework for generalized conjugate gradient methods - with special emphasis on contributions by Ruediger Weiss, Applied Numerical Mathematics (APNUM) 41 (2002), 7-22.
M.H. Gutknecht ,M. Rozloznik, Residual smoothing techniques: Do they improve the limiting accuracy of iterative solvers? , BIT 41, No. 1 (2001), 86-114.
M.H. Gutknecht ,M. Rozloznik, By how much can residual minimization accelerate the convergence of orthogonal residual methods? Numerical algorithms. 27 (2001), 189-213.
J. Maryska , M. Rozloznik, M. Tuma : Schur complement systems in the mixed-hybrid finite element approximation of the potential fluid flow problem , Siam J. Sci. Comput (SISC), Vol. 22, No. 2 (2000), 704-723.
J. Maryska , M. Rozloznik, M. Tuma : Schur complement systems in the mixed-hybrid finite element approximation of Darcy's law: Rounding error analysis , J. Comp. Appl. Math. 117 (2000), 159-173.
A. Greenbaum , M. Rozloznik, Z. Strakos : Numerical behaviour of the modified Gram-Schmidt GMRES implementation , BIT 37:3 (1997), pp. 706-719.
M. Rozloznik, R. Weiss : On the stable implementation of the Generalized minimal error method , J. Comp. Appl. Math. 98 (1998), pp. 49-62.
J. Maryska , M. Rozloznik, M. Tuma : The potential fluid flow problem and the convergence rate of the minimal residual method , Numerical Linear Algebra with Applications, Vol. 3 (6) (1996), pp. 525-542.
J. Drkosova, A. Greenbaum , M. Rozloznik, Z. Strakos : Numerical stability of GMRES, BIT 35:3 (1995), pp. 309-330.
J. Maryska , M. Rozloznik, M. Tuma : Mixed-hybrid finite element approximation of the potential fluid flow problem , J. Comp. Appl. Math. 63 (1995), pp. 383-392.

Conference Publications:

M. Rozloznik: Saddle point problems, iterative solution and preconditioning: a short overview, Proceedings of the XV-th Summer School Software and Algorithms of Numerical Mathematics, I. Marek ed., University of West Bohemia, Pilsen, (2003), 97-108.
J. Maryska, M. Rozloznik, M.Tuma: Primal vs. dual variable approach for mixed-hybrid finite element approximation of the potential fluid flow problem in porous media, Proceedings of the 3rd International Conference on "Large-Scale Scientific Computations", Lecture Notes in Computer Science 2179, Sv. Margenov, J. Wasniewski, P. Yalamov (eds.), June 6-10, 2001, pp.417-424..
J. Maryska , M. Rozloznik, M. Tuma : Solution of augmented systems from a mixed-hybrid finite element of the potential fluid flow problem: asymptotic rates of convergence , Proceedings of Algoritmy 2000, 15th Conference on Scientific Computing, Vysoke Tatry, Slovakia, September 10-15 2000, Editors K. Mikula et al, pp. 100-109.
M. Rozloznik, Z. Strakos , M. Tuma : On the Role of Orthogonality in the GMRES Method , in SOFSEM'96: Theory and Practice of Informatics, K. Jeffery, J. Kral, M. Bartosek (Eds), Lecture Notes in Computer Science, Vol. 1175, Springer Verlag, Berlin, Heidelberg, (1996), pp. 409-416.
M. Rozloznik, Z. Strakos : Variants of the residual minimizing Krylov space methods, in Proceedings of the XI-th Summer School Software and Algorithms of Numerical Mathematics, I. Marek ed., University of West Bohemia, Pilsen, (1995), pp. 208-225.
M. Rozloznik, Z. Strakos : On the implementation of some residual minimizing Krylov space methods , in SOFSEM'95: Theory and Practice of Informatics, M. Bartosek , J. Staudek, J. Wiedermann (Eds), Lecture Notes in Computer Science, Vol. 1012, Springer Verlag, Berlin, Heidelberg, (1995), pp. 449-454.
M. Tuma ,M. Rozloznik: On the efficiency of superscalar and vector computers for some problems in scientific computing , in SOFSEM'95: Theory and Practice of Informatics, M. Bartosek , J. Staudek, J. Wiedermann (Eds), Lecture Notes in Computer Science, Vol. 1012, Springer Verlag, Berlin, Heidelberg, (1995), pp. 481-486.
M. Kocvara , M. Rozloznik, S.L.Xanthis: On iterative solvers for the method of arbitrary lines, in E.A. Lipitakis, Proceedings of the Second Hellenic European Conference on Mathematics and Informatics - HERMIS'94, Hellenic Mathematical Society, Athens, Greece, (1995), pp. 261-272.

Stays, Presentations and Conferences (in the reverse chronological order):

M. Rozloznik: Numerics of the Gram-Schmidt orthgonalizxation process, Seminarium Pierscienie, macierze i algorytmy numeryczne, Politechnika Warszawska, Warszawa, November 13, 2009.
M. Rozloznik: Numerical behavior of saddle point solvers, Seminar at the Widzial Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego, Warszawa, November 12, 2009.
M. Rozloznik: Rounding error analysis of triangulat tridiagonalization, contributed talk at the GAMM Workshop on Applied and Numerical Linear Algebra, Zurich, September 10-11, 2009.
M. Rozloznik: Numerical behavior of saddle point solvers, seminar at the Hong Kong City University (the group of Prof. W. Sun), August 27, 2009.
M. Rozloznik: Preconditioned saddle point problems in finite precision arithmetic, contributed talk at the International conference on preconditioning techniques for scientific and industrial applications, Hong Kong, August 24-26, 2009.
M. Rozloznik: Numerical behavior of saddle point solvers, plenary talk at the 4-th IMACS conference on Mathematical modelling and computational methods in applied sciences and engineering - MODELLING 2009, Roznov pod Radhostem, Czech Republic, June 22-26, 2009.
M. Rozloznik: Numerical behavior of saddle point solvers, seminar of the School of Computer Science, McGill University, Montreal, Canada, April 20, 2009.
M. Rozloznik: Numerical behavior of saddle point solvers, Advances and perspectives on numerical methods for saddle point problems, Banff international research station, Banff, Canada, April 12-17, 2009.
M. Rozloznik: Accuracy of inexact saddle point solvers, Algoritmy 2009, Conference on Scientific Computing, Vysoke Tatry, Podbanske, Slovakia, March 15-20, 2009.
M. Rozloznik: Numerical stability of symmetric indefinite solvers: direct methods. Seminar on Numerical Analysis, Modelling and Simulation of Challenging Engineering Problems SNA 2009, Institute of Geonics AS CR, Ostrava, February 2-6, 2009
Oxford University Computing Laboratory, Oxford, January 14-16, 2009, M. Rozloznik: On the accuracy of inexact saddle point solvers, Computational Mathematics and Applications Seminar, Oxford, January 15, 2009.
M. Rozloznik: Saddle point problems, null-space projection method and conjugate gradient method with indefinite preconditioning, Necas seminar on continuum mechanics, Charles university, Prague, January 5, 2009.
M. Rozloznik: Numerical behavior of saddle point solvers, plenary talk at the International Workshop Numerical Analysis and Scientific Computing (NASCom'08), Rostov-on-Don, Russian federation, October 13-17, 2008.
M. Rozloznik, P. Jiranek: Numerical behavior of saddle point solvers. Householder Symposium XVII, Zeuthen, Germany (June 1-6, 2008).
M. Rozloznik, P. Jiranek: How to stabilize Simplex GMRES and GCR? Applied Linear Algebra Conference, In Honor of Ivo Marek, Novi Sad, Serbia (April 28-30, 2008).
M. Rozloznik: Numerical behavior of saddle point solvers, Workshop on Linear algebra and applications in systems and control, Department of Control Engineering, Czech Technical University, Prague, March 28, 2008.
M. Rozloznik: Simpler GMRES or GCR? Seminar Prague-Freiberg, Prague, March 25 2008.
M. Rozloznik, P. Jiranek: Numerical behavior of inexact saddle point solvers, 9th IMACS International Symposium on Iteratice Methods in Scientific Computing, Lille, France, March 17-20, 2008.
M. Rozloznik, P. Jiranek: Inexact saddle point solvers and their limiting accuracy, Gene Golub Day at TU Berlin, February 29, 2008.
Department of Mathematics at the Hong Kong Baptist University, Centre for Mathematical Imaging and Vision (CMIV), October 19-November 2, 2007. M. Rozloznik: Numerical stability of GMRES, seminar of CMIV, October 23, 2007, M. Rozloznik: Numerics of Gram-Schmidt Orthogonalization, seminar of CMIV, October 26, 2007.
M. Rozloznik: Saddle point solvers and their numerical behavior, Workshop on Solution Methods for Saddle Point Systems , Hong Kong Baptist University, 31 October 2007.
P. Jiranek, M. Rozloznik: Numerical stability of inexact saddle point solvers (poster), 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, 16-20 July, 2007.
M. Rozloznik, P. Jiranek: Limiting Accuracy of Inexact Saddle Point Solvers. 22nd Biennial Conference on Numerical Analysis, University of Dundee, Scotland, June 26-29, 2007.
M. Rozloznik, P. Jiranek: On the Limiting Accuracy of Segregated Saddle Point Solvers. VIII. Scientific Conference of the Faculty of Civil Engineering, Section V: „Applied Mathematics“, Technical University of Kosice, Slovakia, May 28-30, 2007.
M. Rozloznik, P. Jiranek: Iterative Solution of Saddle Point Problems. Seminar on Numerical Analysis, Modelling and Simulation of Challenging Engineering Problems SNA 2007, Institute of Geonics AS CR, Ostrava, January 22-27, 2007.
M. Rozloznik, C.C. Paige, J. Langou: Numerical Stability of Iterative Methods, Joint GAMM-SIAM Conference on Applied Linear Algebra, Düsseldorf, Germany, July 24 - 27, 2006.
M. Rozloznik, P. Jiranek: Maximum Attainable Accuracy of Some Krylov Subspace Methods for Saddle Point Problems, GAMM, Berlin, March 28, 2006.
M. Rozloznik: Numerical stability of Gram-Schmidt process, talk at the Seminar of Neural Computing Research Group, Aston University, Birmingham, UK, (January 10-15, 2006).
M. Rozloznik Rounding Error Analysis of the Classical Gram-Schmidt Process Used for Solving the Least Squares Problems , 16th Summer School Software and Algorithms of Numerical Mathematics (SANM'05), organized by I. Marek and University of West Bohemia, Srni, September 8-12, 2003.
Wroclaw University of Technology, Institute of Mathematics and Computer Science, Wroclaw, Poland (June 29-July 1, 2005).
The University of Tennessee, Department of Computer Science, Knoxville, Tennessee (May 28-June 2, 2005).
M. Rozloznik Rounding Error Analysis of the Classical Gram-Schmidt Process , Householder Symposium XVI, Seven Springs Mountain Resort (Pennsylvania), May 24, 2005 (joint work with L. Giraud, J. Langou and J. van den Eshof).
M. Rozloznik: Dual variable approach for the mixed-hybrid finite element approximation of the potential fluid flow problem. Contributed talk at the Session 22 Applied and numerical linear algebra, GAMM 2005 Annual Scientific Conference, Luxemburg (March 28 –April 1, 2005).
M. Rozloznik: , Indefinite preconditioning of symetric indefinite systems, contributed talk at the ALGORITMY 2005, 17th Conference on Scientific Computing, Vysoke Tatry - Podbanske, Slovakia, (March 13-18, 2005).
M. Rozloznik, V. Simoncini: The Conjugate Gradients Method with Indefinite Preconditioning, Mattriad 2005, Poznan - Bedlewo, Poland, March 5, 2005.
M. Rozloznik, L. Giraud, J. Langou and J. van den Eshof: Numerical Stability of Gram-Schmidt Process, Seminar on Numerical Analysis, Modelling and Simulation of Challenging Engineering Problems SNA 2005, Institute of Geonics AS CR, Ostrava, February 7, 2005.
M. Rozloznik: How (un-stable) is the Gram-Schmidt process? Contributed talk at the 5th Workshop of the ERCIM Working Group on Matrix Computations and Statistics „Numerical Methods for Statistics“, Prague, (August 27-29, 2004).
M. Rozloznik: Numerical stability of the Gram-Schmidt process, talk at the seminar Programs and Algorithms of Numerical Mathematics (PANM 12), organized by Institute of Mathematics of Czech Academy of Sciences, Dolni Maxov, Czech Republic, (June 6-11, 2004).
M. Rozloznik: On the numerical stability of the Gram-Schmidt algorithm, contributed talk at IMET 2004 (Iterative Methods, Preconditioning and Numerical PDEs), Prague, (May 25 -28, 2004).
M. Rozloznik: How important is the orthogonality in the Gram-Schmidt process for the GMRES method? talk at the Session 22 Applied and numerical linear algebra, GAMM 2003 Annual Scientific Conference, Dresden, Germany (March 21-27, 2004).
Technical University of Kosice, Faculty of Civil Engineering, Department of Mathematics, (March 1-5, 2004), M. Rozloznik: Numerical stability of iterative methods, talk at the seminar, Kosice, Slovakia, March 1, 2004.
M. Rozloznik: Dagstuhl-Seminar :On the role of orthogonalization process in the GMRES method, plenary talk at the Theoretical and Computational Aspects of Matrix Algorithms, Schloss Dagstuhl, (October 12-17, 2003).
M. Rozloznik: A preconditioner for saddle point problems, 15th Summer School Software and Algorithms of Numerical Mathematics (SANM'03), organized by I. Marek, Hejnice, September 8-12, 2003.
Mathematical Sciences Institute, Australian National University, Canberra, Australia, (July 12-17, 2003). M Rozloznik: Can we trust the classical Gram-Schmidt process, talk at the Workshop on Contemporary Computational Mathematics (July 16-17, 2003).
M. Rozloznik: The loss of orthogonality in the Gram-Schmidt process and its role in the GMRES method, contribution at the Minisymposium „Accuracy and Effectiveness of Krylov Space Methods, organized by M.H. Gutknecht, 5th International Congress on Industrial and Applied Mathematics (ICIAM}, Sydney, Australia, (July 7-11, 2003).
M. Rozloznik: Can we give a bound for the loss of orthogonality in the classical Gram-Schmidt process? Contributed talk at the Session 22 Applied and numerical linear algebra, GAMM 2003 Annual Scientific Conference, Abano Terme – Padua, Italy (March 24-28, 2003).
M. Rozloznik: Dual variable approach for mixed-hybrid finite element approximation of the potential fluid flow problem, Seminar on numerical analysis, dedicated to the 70th birthday of Ivo Marek, Ostrava, (February 17-18, 2003).
M. Rozloznik: Conjugate gradient method with indefinite preconditioning for saddle-point problems, Householder symposium XV, Peebles, UK, (June 17-21, 2002).
M. Rozloznik: Are two steps enough for preserving the orthogonality in the Gram-Schmidt algorithm? contributed talk at the 2nd International workshop on Parallel Matrix Algorithms and Applications (PMAA'02), Neuchatel, Switzerland, (November 7-10, 2002).
M. Rozloznik: Round-off error analysis of the Gram-Schmidt algorithm with reorthogonalization, contributed talk at the ALGORITMY 2002, 16th Conference on Scientific Computing, Vysoke Tatry - Podbanske, Slovakia, (September 8-13, 2002).
M. Rozloznik: On the round-off error analysis of the Gram-Schmidt algorithm with reorthogonalization, contrinuted presentetation, Conference on Numerical Methods and Computational Mechanics, University of Miskolc, Hungary, (July 15-19, 2002).
M. Rozloznik: Mathematical models and algorithms in remediation of consequences of uranium mining in northern Bohemia, talk at the 3. Kolloquium Wissenschaftliches Rechnen in Sachsen, Faculty of Mathematics and Informatics, Technical University of Freiberg, Freiberg, Germany, (June 24, 2002).
M. Rozloznik: Indefinite preconditioning and Conjugate Gradients, contributed talk at the LATSIS Symposium 2002, Iterative Solvers for Large Linear Systems, ETH Zurich, Switzerland, (Feb 18-21, 2002).
M. Rozloznik: Indefinite preconditioning of saddle point problems, seminar Iterative methods, Institute of Geonics AS CR , Ostrava, Czech Republic, (Oct 30-31, 2001).
Universita di Bologna and Istituto di Analisi Numerica, C.N.R. Pavia, Italy (Sep 17- Oct 11,2001)
CERFACS, Toulouse, France (Sep.8-14 2001), M. Rozloznik: Residual smoothing techniques: Do they improve the limiting accuracy of ietrative solvers?, talk at the Parallel Algorithms Group seminar.
M. Rozloznik: Primal vs. dual variable approach for mixed-hybrid finite element approximation of the fluid flow problem in porous media, contributed talk at the 3rd International Conference on Large Scale Scientific Computations, Sozopol, Bulgaria, June 6-10, 2001.
M. Rozloznik: Conjugate gradients with indefinite constraint preconditioning, contributed talk at the 5th IMACS Conference on Iterative Methods in Scientific Computing, Heraklion, Crete, Greece, May 28-31, 2001.
M. Rozloznik: Conjugate gradient method with indefinite preconditioning of saddle point problems, contributed talk at the GAMM Annual Meeting Zurich, Switzerland, February 12-15, 2001.
Universite de Paris-Sud, Orsay, France, (October 22-29, 2000), Iterative solution of augmented systems from the potential fluid flow problem, seminar Groupe de Travail Equations Elliptiques et Paraboliques non Lineaires, organise par D. Hilhorst, F. Issard-Roch et C. Picard, October 24, 2000.
M. Rozloznik: Iterative solution of augmented systems from the potential fluid flow problem, Seminar SemMechKont, Mathematical Institute of Charles University, Prague, organized by M. Feistauer, J. Necas and J. Malek, October 16, 2000.
M. Rozloznik: Conjugate gradient method with indefinite preconditioning of saddle point problems, ALGORITMY 2000, 15th Conference on Scientific Computing, Vysoke Tatry, Slovakia, September 10-15, 2000.
M. Rozloznik: Conjugate gradient method with indefinite preconditioning of saddle point problems, Workshop Simulation, modelling and numerical analysis SIMONA 2000, Liberec, Czech Republic, September 4-6, 2000.
M.H. Gutknecht, M. Rozloznik: A short review of the work of Ruediger Weiss on generalized conjugate gradient methods, 16th IMACS World Congress 2000, Lausanne, Switzerland, 21-26 August 2000, session Development and Trends in Iterative Methods for Large Systems, in memoriam R. Weiss.
M. Rozloznik: Schur complement approach and iterative solution of augmented systems in the potential fluid flow problem, Int. Workshop on Parallel Matrix Algorithms and Applications, 17-19 August 2000, Neuchatel, Switzerland.
M. Rozloznik: Iterative methods in exact arithmetic and finite precision arithmetic, PANM 10 Workshop, Lazne Libverda, 12.-16.6. 2000.
Istituto di Analisi Numerica, C.N.R. Pavia, Italy (Mar 31-Apr 8,1999), Conjugate gradient method with indefinite preconditioning of saddle point problems, April 6, 2000.
M. Rozloznik: Residual smoothing techniques: Do they improve the limiting accuracy of ietrative solvers?, Schweizer Tagung ueber numerische Mathematik, Fribourg, October 12, 1999.
M. Rozloznik: Residual smoothing techniques: Do they improve the limiting accuracy of ietrative solvers?, 13th Summer School Software and Algorithms of Numerical Mathematics (SANM'99), organized by I. Marek, Nectiny, September 6-10, 1999.
Emory University, Department of Mathematics and Computer Science, Atlanta (May 1999), Iterative solution of augmented systems from the potential fluid flow problem, talk at the Computational Mathematics Seminar, May 25, 1999.
M. Rozloznik: Numerical stability of residual smoothing techniques, 1999 SIAM Annual Meeting, CP 5: Numerical Linear Algebra and Applications, May 12-15, 1999, Atlanta (contributed presentation).
Istituto di Analisi Numerica, C.N.R. Pavia, Italy (Jan 26-Feb 7 1999), Solution of Augmented Systems from a Mixed-hybrid Finite Element Discretization of the Potential Fluid Flow Problem. Part II: Schur Complement Approach. Rounding Error Analysis (with M. Tuma).
CERFACS, Toulouse, France (Nov 23-30 1998), M. Rozloznik: Numerical Stability of GMRES: Recent Results and Open Questions, talk at the Parallel Algorithms Group seminar
Rechenzentrum, Universitaet Karlsruhe, Germany, Nov. 15 1998, M. Rozloznik: Numerical Stability of Residual Smoothing Techniques, talk at the seminar organized by W. Schoenauer and R. Weiss
Department of Mathematics and Comp. Science, Emory University, Atlanta (Oct 21-23 1998)
M. Rozloznik: On the limiting accuracy of some residual smoothing techniques, Fourth IMACS International Symposium on Iterative Methods in Scientific Computation, University of Texas at Austin, October 18-20, 1998 (abstract)
M. Rozloznik: Schur complement reduction in the mixed-hybrid approximation of Darcy's law: Rounding error analysis, summer seminar Programs and Algorithms of Numerical Mathematics, organized by Institute of Mathematics of Czech Academy of Sciences, Korenov, Czech Republic, 8.-12.6. 1998.
Institute of Mathematics, University of Tuebingen, Germany (May 27-29 1998)
Istituto di Analisi Numerica, C.N.R. Pavia, Italy (May 1997, August-September 1996)
University of Linkoping, Department of Mathematics, Sweden (September 1996)
Rechenzentrum, Universitat Karlsruhe, Germany (August 1995, October 1994)
A. Greenbaum, M. Rozloznik, Z. Strakos: Numerical behaviour of the modified Gram-Schmidt implementation, In: XIII Householder Symposiumon Numerical Algebra, Pontresina, Switzerland, 17.-21.6. 1996 (abstract on p.180)
J. Drkosova, M. Rozloznik, Z. Strakos: Is forward error analysis of GMRES possible? In: IMPC'97, Czech-U.S. Workshop on Iterative Methods and Parallel Computing, Milovy, Czech Republic, 16.-21.6. 1997 (abstract)
M. Rozloznik: Finite precision analysis of Arnoldi algorithm and its application in GMRES, In: Prague Mathematical Conference, Prague 1996 (abstract)
M. Rozloznik, Z. Strakos: Convergence, numerical stability and optimal implementation of the GMRES method, In: 4-th Conference of the International Linear Algebra Society, Erasmus University, Rotterdam, 1994, (abstract on p.125)
M. Rozloznik,: Variants of the Generalized minimal error method, In: Conference on mathematical modelling and computational methods Modelling-94, Prague, 1994, (abstract)

PhD-Thesis: M. Rozloznik: Numerical Stability of the GMRES Method , PhD Thesis, Institute of Computer Science, Academy of Sciences of the Czech Republic and Faculty of Nuclear Science and Physical Engineering, Czech Technical University, Prague (1997), p.80 (available upon the request also in the printed form from the author)

Habilitation Thesis: M. Rozloznik: Iterative solution of saddle point problems in mathematical modelling (in Slovak), Technical University of Liberec, Department of Modelling of Processes, Faculty of Mechatronics and Interdisciplinary Studies, Liberec, April 2004. Shorter version but in English available as: Saddle point problems, iterative solution and preconditioning: a short overview, submitted to Proceedings of the XV-th Summer School Software and Algorithms of Numerical Mathematics, I. Marek ed., University of West Bohemia, Pilsen, (2003).

PhD-Thesis of P. Jiranek: P. Jiranek: Limiting accuracy of iterative methods, PhD Thesis, Institute of Computer Science, Academy of Sciences of the Czech Republic and Technical University of Liberec, Department of Modelling of Processes, Faculty of Mechatronics and Interdisciplinary Studies, Liberec, January 2008.

Other Relevant Publications:

M. Rozloznik: Conjugate gradient-type iterative methods for the solution of nonsymmetric systems of linear equations, (in Slovak), In R. Blaheta et al. Modern Mathematical Methods in Engineering, Frydlant nad Ostravici, 1994, pp. 93-109.
M. Tuma, M. Rozloznik: A comparison of the efficiency and accuracy of the solution of some linear algebra problems using the Silicon Graphics and Cray Y-MP EL computers, (in Czech), Czechoslovak Journal of Physics 6, Vol. 45, (1995), pp. 423-429.
M. Rozloznik: A Comparison of the Biconjugate Gradient Method and Other Related Methods for Solving Nonsymmetric Systems of Linear Equations, Research report 548, ICS AS CR, Prague (1993), pp. 63.
M. Rozloznik: Conjugate Gradients-Type Methods for Solving Nonsymmetric Systems of Linear Equations, (in Slovak), Research report 493, ICS AS CR, Prague 1991, revised 1992.


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Miro Rozloznik--(miro@cs.cas.cz) --Last Revision December 2, 2009.