Bergische Universität Wuppertal
Fachbereich Mathematik und Naturwissenschaften
Angewandte Informatik - Algorithmik

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Bruno Lang's publications and preprints (sorted by year)

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2012 - 2011 - 2010 - 2009 - 2008 - 2007 - 2006 - 2005 - 2004 - 2003 - 2002 - 2001 - 2000 - 1999 - 1998 - 1997 - 1996 - 1995 - 1994 - 1993 - 1992 - 1991 - 1989

  2012

  2011

[1] Xiaojun Chen, Andreas Frommer, and Bruno Lang. Computational existence proofs for spherical t-designs. Numer. Math., 117(2):289-305, February 2011. [ Abstract ]
[2] T. Auckenthaler, H.-J. Bungartz, T. Huckle, L. Krämer, B. Lang, and P. Willems. Developing algorithms and software for the parallel solution of the symmetric eigenvalue problem. Journal of Computational Science, 2(3):272-278, August 2011. [ Abstract ]
[3] T. Auckenthaler, V. Blum, H.-J. Bungartz, T. Huckle, R. Johanni, L. Krämer, B. Lang, H. Lederer, and P.R. Willems. Parallel solution of partial symmetric eigenvalue problems from electronic structure calculations. Parallel Comput., 37(12):783-794, December 2011. [ Abstract ]
[4] Paul R. Willems and Bruno Lang. Block factorizations and qd-type transformations for the MR3 algorithm. Electron. Trans. Numer. Anal., 38:363-400, 2011. [ Abstract ]
[5] Martin Galgon, Lukas Krämer, and Bruno Lang. The FEAST algorithm for large sparse eigenvalue problems. Proc. Appl. Math. Mech., 11(1):747-748, December 2011. [ Abstract ]
[6] Paul R. Willems and Bruno Lang. The MR3-GK algorithm for the bidiagonal SVD, 2011. Accepted for publication. [ Abstract ]
[7] Paul R. Willems and Bruno Lang. A framework for the MR3 algorithm: Theory and implementation, 2011. Submitted for publication. [ Abstract ]
[8] Paul R. Willems and Bruno Lang. Twisted factorizations and qd-type transformations for the MR3 algorithm-new representations and analysis, 2011. Submitted for publication. [ Abstract ]
[9] Elke Just and Bruno Lang. Success-guided selection of expanded systems for result-verifying nonlinear solvers, 2011. Submitted for publication. [ Abstract ]

  2010

[1] Thomas Beelitz, Bruno Lang, Peer Ueberholz, and Paul Willems. Closing the case t = 3 for 3D spherical t-designs using a result-verifying nonlinear solver. Reliab. Comput., 14:66-77, June 2010. [ Abstract ]

  2009

[1] Thomas Beelitz, Andreas Frommer, Bruno Lang, and Paul Willems. A framework for existence tests based on the topological degree and homotopy. Numer. Math., 111(4):493-507, February 2009. [ Abstract ]

  2008

[1] Peer Ueberholz, Paul Willems, Mark Bull, and Bruno Lang. Non-blocking load balancing for branch-and-prune-type algorithms, 2008. Accepted for publication. [ Abstract ]

  2007

[1] Tina Erica Odaka, Vladen V. Melnikov, Per Jensen, Tsuneo Hirano, Bruno Lang, and Peter Langer. A theoretical study of the double Renner effect for A 2Π MgNC/MgCN: Higher excited rovibrational states. J. Chem. Phys., 126:094301, 2007. [ Abstract ]
[2] Martin Mönnigmann, Wolfgang Marquardt, Christian H. Bischof, Thomas Beelitz, Bruno Lang, and Paul Willems. A hybrid approach for efficient robust design of dynamic systems. SIAM Rev., 49(2):236-254, 2007. [ Abstract ]
[3] Christian H. Bischof, H. Martin Bücker, Bruno Lang, Arno Rasch, and Emil Slusanschi. Automatic differentiation of the general-purpose computational fluid dynamics package FLUENT. ASME Journal of Fluids Engineering, 129(5):652-658, May 2007. [ Abstract ]
[4] Jaques Bloch, Andreas Frommer, Bruno Lang, and Tilo Wettig. An iterative method to compute the sign function of a non-Hermitian matrix and its application to the overlap Dirac operator at nonzero chemical potential. Comput. Phys. Comm., 177:933-943, 2007. [ Abstract ]
[5] Andreas Frommer, Fatmir Hoxha, and Bruno Lang. Proving the existence of zeros using the topological degree and interval arithmetic. J. Comput. Appl. Math., 199(2):397-402, February 2007. [ Abstract ]
[6] Andreas Frommer and Bruno Lang. Fast and accurate multi-argument interval evaluation of polynomials. In Proc. SCAN 2006, 12th International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, September 26-29, 2006, Duisburg, Germany, page 31. IEEE Computer Society, 2007. [ Abstract ]
[7] Ivo Kabadshow and Bruno Lang. Latency-optimized parallelization of the FMM near-field computations. In Yong Shi, Geert Dick van Albada, Jack Dongarra, and Peter M. A. Sloot, editors, Computational Science, Proc. ICCS 2007, 7th International Conference on Computational Science, May 27-30, 2007, Beijing, China, Part I, volume 4487 of Lecture Notes in Computer Science, pages 716-722, Berlin, 2007. Springer-Verlag. [ DOI | Abstract ]
[8] Jacques Bloch, Tilo Wettig, Andreas Frommer, and Bruno Lang. An iterative method to compute the overlap Dirac operator at nonzero chemical potential. In Gunnar Bali et al., editors, Proc. Lattice 2007, XXVth Intl. Symp. Lattice Field Theory, July 30-August 4, 2007, Regensburg, Germany, Proceedings of Science, page 169, Trieste, Italy, 2007. SISSA. [ Abstract ]

  2006

[1] Tatjana Eitrich and Bruno Lang. On the efficient implementation of a serial and parallel decomposition algorithm for fast support vector machine training including a multi-parameter kernel. Intern. J. Computational Intelligence, 3(2):91-98, 2006. [ Abstract ]
[2] Thomas Beelitz, Christian H. Bischof, and Bruno Lang. Efficient task scheduling in the parallel result-verifying solution of nonlinear systems. Reliab. Comput., 12(2):141-151, April 2006. [ Abstract ]
[3] Tatjana Eitrich and Bruno Lang. Efficient optimization of support vector machine learning parameters for unbalanced datasets. J. Comput. Appl. Math., 196(2):425-436, November 2006. [ Abstract ]
[4] Paul R. Willems, Bruno Lang, and Christof Vömel. Computing the bidiagonal SVD using multiple relatively robust representations. SIAM J. Matrix Anal. Appl., 28(4):907-926, 2006. [ Abstract ]
[5] Tatjana Eitrich, Wolfgang Frings, and Bruno Lang. HyParSVM-a new hybrid parallel software for support vector machine learning on SMP clusters. In Wolfgang E. Nagel, Wolfgang W. Walter, and Wolfgang Lehner, editors, Parallel Processing, Proc. Euro-Par 2006, 12th European Conference on Parallel Computing, August 29-September 1, 2006, Dresden, Germany, volume 4128 of Lecture Notes in Computer Science, pages 350-359. Springer-Verlag, 2006. [ Abstract ]
[6] Tatjana Eitrich and Bruno Lang. Data mining with parallel support vector machines for classification. In Tatyana Yakhno and Erich J. Neuhold, editors, Proc. ADVIS 2006, 4th Intl. Conf. on Advances in Information Systems, October 18-20, 2006, Izmir, Turkey, volume 4243 of Lecture Notes in Computer Science, pages 197-206, Berlin, 2006. Springer-Verlag. [ Abstract ]
[7] Tatjana Eitrich and Bruno Lang. On the optimal working set size in serial and parallel support vector machine learning with the decomposition algorithm. In Peter Christen, Paul J. Kennedy, Jiuyong Li, Simeon J. Simoff, and Graham J. Williams, editors, Data Mining and Analytics 2006, Proc. Fifth Austalasian Data Mining Conference (AusDM2006), November 29-30, 2006, Sydney, Australia, volume 61 of Conferences in Research and Practice in Information Technology (CRPIT), pages 121-128. Australian Computer Society, Inc., 2006. [ Abstract ]
[8] Tatjana Eitrich and Bruno Lang. On the advantages of weighted L1-norm support vector learning for unbalanced binary classification problems. In Proc. IS'06, 3rd Intl. IEEE Conf. Intelligent Systems, September 4-6, 2006, University of Westminster, UK, pages 575-580. IEEE Computer Society, September 2006. [ DOI | Abstract ]
[9] Wolfgang Marquardt, Martin Mönnigmann, Thomas Beelitz, Bruno Lang, Paul Willems, and Christan H. Bischof. Robust design of dynamic systems. ECMI Newsletter, 39:15, March 2006. [ Abstract ]
[10] Tatjana Eitrich and Bruno Lang. Parallel cost-sensitive support vector machine software for classification. In Ulrich H. E. Hansmann, Jan Meinke, Sandipan Mohanty, and Olav Zimmermann, editors, Proc. Workshop From Computational Biophysics to Systems Biology, June 06-09, 2006, Jülich, Germany, volume 34 of NIC Series, pages 141-144. John von Neumann Institute for Computing, Jülich, 2006. [ Abstract ]
[11] Tatjana Eitrich, Bruno Lang, and Achim Streit. Customizing the APPSPACK software for parallel parameter tuning of a hybrid parallel support vector machine. In Giuseppe Di Fatta, Michael R. Berthold, and Srinivasan Parthasarathy, editors, Proc. PDM 2006, Workshop on Parallel Data Mining in conjunction with ECML/PKDD 2006, September 18-22, 2006, Berlin, Germany, pages 38-50, 2006. [ Abstract ]
[12] Andreas Frommer and Bruno Lang. Thematic section: Result-verifying computing. ECMI Newsletter, (39):5-18, March 2006. [ Abstract ]

  2005

[1] Rainer Steiger, Christian H. Bischof, Bruno Lang, and Walter Thiel. Using automatic differentiation to compute derivatives of a quantum-chemical computer program. Future Generation Computer Systems, 21(8):1324-1332, October 2005. [ Abstract ]
[2] Benedikt Großer and Bruno Lang. On symmetric eigenproblems induced by the bidiagonal SVD. SIAM J. Matrix Anal. Appl., 26(3):599-620, 2005. [ Abstract ]
[3] Andreas Frommer and Bruno Lang. Existence tests for solutions of nonlinear equations using Borsuk's theorem. SIAM J. Numer. Anal., 43(3):1348-1361, 2005. [ Abstract ]
[4] Christian H. Bischof, H. Martin Bücker, Bruno Lang, Arno Rasch, and Emil Slusanschi. Efficient and accurate derivatives for a software process chain in airfoil shape optimization. Future Generation Computer Systems, 21(8):1333-1344, October 2005. [ Abstract ]
[5] Tatjana Eitrich and Bruno Lang. Parallel tuning of support vector machine learning parameters for large and unbalanced data sets. In Michael R. Berthold, Robert Glen, Kai Diederichs, Oliver Kohlbacher, and Ingrid Fischer, editors, Computational Life Sciences: First International Symposium, CompLife 2005, Konstanz, Germany, September 25-27, Proceedings, volume 3695 of Lecture Notes in Bioinformatics, pages 253-264, Heidelberg, 2005. Springer-Verlag. [ Abstract ]
[6] Tatjana Eitrich and Bruno Lang. Analysis of support vector machine training costs for large and unbalanced data from pharmaceutical industry. In Proc. 1st ICGST Intl. Conf. Artificial Intelligence and Machine Learning (AIML-05), December 19-21, 2005, Cairo, Egypt, pages 58-64. ICGST, 2005. [ Abstract ]
[7] Thomas Beelitz, Andreas Frommer, Bruno Lang, and Paul Willems. Symbolic-numeric techniques for solving nonlinear systems. Proc. Appl. Math. Mech., 5(1):705-708, December 2005. [ Abstract ]
[8] Jens Gräbel, Bruno Lang, and Peer Ueberholz. Performance optimization for the parallel Gauss-Seidel smoother. Proc. Appl. Math. Mech., 5(1):831-832, 2005. [ Abstract ]

  2004

[1] Andreas Frommer, Bruno Lang, and Marco Schnurr. A comparison of the Moore and Miranda existence tests. Computing, 72:349-354, 2004. [ Abstract ]
[2] Thomas Beelitz, Christian Bischof, Bruno Lang, and Klaus Schulte Althoff. Result-verifying solution of nonlinear systems in the analysis of chemical processes. In René Alt, Andreas Frommer, R.Baker Kearfott, and Wolfram Luther, editors, Numerical Software with Result Verification - Proc. Intl. Dagstuhl Seminar, January 19-24, 2003, Dagstuhl Castle, Germany, number 2991 in Lecture Notes in Computer Science, pages 198-205. Springer, Berlin, 2004. [ Abstract ]
[3] Stefanie Krivsky and Bruno Lang. Using interval arithmetic for determining the structure of convex hulls. Numer. Alg., 37(1-4):233-240, December 2004. [ Abstract ]
[4] H.Martin Bücker, Bruno Lang, Hans-Joachim Pflug, and Andre Vehreschild. Threads in an undergraduate course: A Java example illuminating different multithreading approaches. In A. Laganà, M. L. Gavrilova, V. Kumar, Y. Mun, C. J. K. Tan, and O. Gervasi, editors, Computational Science and Its Applications - ICCSA 2004, Proc. Intl. Conf. Computational Science and its Applications, Assisi, Italy, May 14-17, 2004. Part II, number 3044 in Lecture Notes in Computer Science, pages 882-891. Springer, Berlin, 2004. [ Abstract ]
[5] Thomas Beelitz, Christian H. Bischof, and Bruno Lang. A hybrid subdivision strategy for result-verifying nonlinear solvers. Proc. Appl. Math. Mech., 4:632-633, 2004. [ Abstract ]
[6] Andreas Frommer and Bruno Lang. On preconditioners for the Borsuk existence test. Proc. Appl. Math. Mech., 4:638-639, 2004. [ Abstract ]
[7] Thomas Beelitz, Christian H. Bischof, Bruno Lang, and Paul Willems. SONIC-A framework for the rigorous solution of nonlinear problems. Report BUW-SC 04/7, Fachbereich Mathematik und Naturwissenschaften, Bergische Universität Wuppertal, 2004. [ Preprint | Abstract ]

  2003

[1] Benedikt Großer and Bruno Lang. An O( n2 ) algorithm for the bidiagonal SVD. Linear Algebra Appl., 358(1-3):45-70, January 2003. [ Abstract ]
[2] Stefanie Krivsky and Bruno Lang. Verified computation of higher-dimensional convex hulls and the solution of linear systems. Electron. J. Math. Comput., 1:21-35, March 2003. [ Abstract ]
[3] Christian H. Bischof, H. Martin Bücker, Bruno Lang, and Arno Rasch. Automated gradient calculation. In Josef Ballmann, editor, Flow Modulation and Fluid-Structure Interaction at Airplane Wings, number 84 in Notes on Numerical Fluid Mechanics and Multidisciplinary Design, pages 205-224. Springer, Berlin, 2003. [ Abstract ]
[4] Christian H. Bischof, H. Martin Bücker, Bruno Lang, Arno Rasch, and Jakob W. Risch. Extending the functionality of the general-purpose finite element package SEPRAN by automatic differentiation. Internat. J. Numer. Methods Engrg., 58(14):2225-2238, 2003. [ Abstract ]
[5] Christian H. Bischof, H. Martin Bücker, Bruno Lang, and Arno Rasch. Solving large-scale optimization problems with EFCOSS. Advances in Engineering Software, 34(10):633-639, 2003. [ Abstract ]
[6] H. Martin Bücker, Bruno Lang, and Christian H. Bischof. Parallel programming in computational science: An introductory practical training course for computer science at Aachen University. Future Generation Computer Systems, 19(8):1309-1319, 2003. [ Abstract ]
[7] Christian H. Bischof, H. Martin Bücker, Bruno Lang, and Arno Rasch. An interactive environment for supporting the paradigm shift from simulation to optimization. Scientific Programming, 11(4):263-272, 2003. [ Abstract ]
[8] H. Martin Bücker, Bruno Lang, Arno Rasch, and Christian H. Bischof. Automatic parallelism in differentiation of Fourier transforms. In Chin-Cheng Hung, Henry Hexmoor, et al., editors, Proc. 2003 ACM Symposium on Applied Computing (SAC 2003), March 9-12, 2003, Melbourne, FL, pages 148-152, New York, NY, 2003. ACM, Inc. [ Abstract ]
[9] Christian H. Bischof, Bruno Lang, and Andre Vehreschild. Automatic differentiation for MATLAB programs. Proc. Appl. Math. Mech., 2(1):50-53, March 2003. Proc. GAMM-Jahrestagung, March 25-28, 2002, Augsburg, Germany. [ Abstract ]
[10] Thomas Beelitz, Christian H. Bischof, and Bruno Lang. Intervals and OpenMP: Towards an efficient parallel result-verifying nonlinear solver. In Dieter an Mey, editor, Proc. EWOMP '03, Fifth European Workshop on OpenMP, September 22-26, 2003, Aachen, Germany, pages 119-125, Aachen, Germany, 2003. Center for Computing and Communication, Aachen University. [ Abstract ]
[11] H.Martin Bücker, Bruno Lang, Hans-Joachim Pflug, and Andreas Wolf. A hybrid MPI-OpenMP implementation of the conjugate gradient method in Java. In Dieter an Mey, editor, Proc. EWOMP '03, Fifth European Workshop on OpenMP, September 22-26, 2003, Aachen, Germany, pages 205-213, Aachen, Germany, 2003. Center for Computing and Communication, Aachen University. [ Abstract ]

  2002

[1] H. Martin Bücker, Bruno Lang, Arno Rasch, and Christian H. Bischof. Computing sensitivities of the electrostatic potential by automatic differentiation. Comput. Phys. Comm., 147(1-2):720-723, August 2002. [ Abstract ]
[2] Christian H. Bischof, H. Martin Bücker, and Bruno Lang. Automatic differentiation for computational finance. In Erricos John Kontoghiorghes, Berc Rustem, and Stavros Siokos, editors, Computational Methods in Decision-Making, Economics and Finance Proc., Neuchâtel, August 16, 2000, chapter 15, pages 297-310. Kluwer Academic Publishers, Dordrecht, The Netherlands, 2002. [ Abstract ]
[3] Christian H. Bischof, H. Martin Bücker, Bruno Lang, Arno Rasch, and Andre Vehreschild. Combining source transformation and operator overloading techniques to compute derivatives for MATLAB programs. In Proc. 2nd IEEE Intl. Workshop on Source Code Analysis and Manipulation (SCAM 2002), October 1, 2002, Montreal, Canada, pages 65-72, Los Alamitos, CA, November 2002. IEEE Computer Society. [ Abstract ]
[4] H. Martin Bücker, Bruno Lang, Arno Rasch, and Christian H. Bischof. Sensitivity analysis of an airfoil simulation using automatic differentiation. In M. H. Hamza, editor, Proc. International IASTED Conference on Modelling, Identification, and Control (MIC 2002), Innsbruck, Austria, February 18-21, 2002, pages 73-76, Anaheim, CA, 2002. ACTA Press. [ Abstract ]
[5] H. Martin Bücker, Bruno Lang, Arno Rasch, and Christian H. Bischof. Computation of sensitivity information for aircraft design by automatic differentiation. In Peter M. A. Sloot, C. J. Kenneth Tan, Jack J. Dongarra, and Alfons G. Hoekstra, editors, Computational Science - ICCS 2002 International Conference, April 21-24, 2002, Amsterdam, The Netherlands, Proceedings, Part II, number 2330 in Lecture Notes in Computer Science, pages 1069-1076, Berlin, 2002. Springer-Verlag. [ Abstract ]
[6] H. Martin Bücker, Bruno Lang, Dieter an Mey, Arno Rasch, and Christian H. Bischof. Explicit loop scheduling in OpenMP for parallel automatic differentiation. In Jalal N. Almhana and C.Bhavsar Virendrakumar, editors, Proc. 16th Annual International Symposium on High Performance Computing Systems and Applications (HPCS 2002), Moncton, Canada, June 16-19, 2002, pages 121-126, Los Alamitos, CA, 2002. IEEE Computer Society. [ Abstract ]

  2001

[1] H. Martin Bücker, Bruno Lang, Dieter an Mey, and Christian H. Bischof. Bringing together automatic differentiation and OpenMP. In M. Furnari and E. Gallopoulos, editors, Proceedings International Conference on Supercomputing, ICS 2001, Sorrento, Italy, June 17-21, 2001, pages 246-251, New York, NY, 2001. ACM Press. [ Abstract ]
[2] Bruno Lang. Derivative-based subdivision in multi-dimensional verified Gaussian quadrature. In Götz Alefeld, Jiři Rohn, Siegfried Rump, and Tetsuro Yamamoto, editors, Symbolic Algebraic Methods and Verification Methods, pages 145-152, Wien, 2001. Springer-Verlag. [ Abstract ]
[3] Christian H. Bischof, H. Martin Bücker, Jörg Henrichs, and Bruno Lang. Hands-on training for undergraduates in high-performance computing using Java. In Tor Sørevik, Fredrik Manne, Randi Moe, and Assefaw Hadish Gebremedhin, editors, Applied Parallel Computing-New Paradigms for HPC in Industry and Academia, Proceedings 5th International Workshop, PARA 2000, Bergen, Norway, June 2000, volume 1947 of Lecture Notes in Computer Science, pages 306-315, Berlin, 2001. Springer-Verlag. [ Abstract ]
[4] Bruno Lang. A comparison of techniques for evaluating centered forms. In Ulrich Kulisch, Rudolf Lohner, and Axel Facius, editors, Perspectives on Enclosure Methods, pages 149-155. Springer-Verlag, Wien, 2001. [ Abstract ]
[5] Christian H. Bischof, H. Martin Bücker, Bruno Lang, Arno Rasch, and Jakob W. Risch. On the use of a differentiated finite element package for sensitivity analysis. In Vassil N. Alexandrov, Jack J. Dongarra, Benjoe A. Juliano, René S. Renner, and C. J. Kenneth Tan, editors, Computational Science - ICCS 2001 International Conference San Francisco, CA, May 2001, Proceedings, Part I, volume 2073 of Lecture Notes in Computer Science, pages 795-801, Berlin, 2001. Springer. [ Abstract ]
[6] H. Martin Bücker, Bruno Lang, and Christian H. Bischof. Teaching different parallel programming paradigms using Java. In Proceedings of the Third Annual Workshop on Java for High-Performance Computing, Sorrento, Italy, June 17, 2001, pages 73-81, 2001. [ Abstract ]
[7] Christian H. Bischof, H. Martin Bücker, Bruno Lang, Arno Rasch, and Jakob W. Risch. A CORBA-based environment for coupling large-scale simulation and optimization software. In H. R. Arabnia, editor, Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, PDPTA'2001, Las Vegas, Nevada, June 25-28, 2001, volume 1, pages 68-72. CSREA Press, 2001. [ Abstract ]
[8] H. Martin Bücker, Bruno Lang, Arno Rasch, and Christian H. Bischof. From analytic to automated derivatives: A case study of the electrostatic potential. In Algorithms and Software for Mobile Communications, Proc. 10th Aachen Symposium on Signal Theory, Aachen, Germany, September 20-21, 2001, pages 255-260, Berlin, 2001. VDE Verlag. [ Abstract ]
[9] Christian H. Bischof, Bruno Lang, Wolfgang Marquardt, and Martin Mönnigmann. Verified determination of singularities in chemical processes. In Walter Krämer and Jürgen Wolff von Gudenberg, editors, Scientific Computing, Validated Numerics, Interval Methods, pages 305-316, New York, 2001. Kluwer Academic/Plenum Publishers. [ Abstract ]
[10] Christian H. Bischof, H. Martin Bücker, Bruno Lang, and Arno Rasch. Automatic differentiation of the FLUENT CFD program: Procedure and first results. Report RWTH-CS-SC-01-22, RWTH Aachen, Lehrstuhl für Hochleistungsrechnen, 2001.

  2000

[1] Christian H. Bischof, Bruno Lang, and Xiaobai Sun. A framework for symmetric band reduction. ACM Trans. Math. Software, 26(4):581-601, December 2000. [ Abstract ]
[2] Christian H. Bischof, Bruno Lang, and Xiaobai Sun. Algorithm 807: The SBR toolbox-software for successive band reduction. ACM Trans. Math. Software, 26(4):602-616, December 2000. [ Abstract ]
[3] Bruno Lang. Out-of-core solution of large symmetric eigenproblems. Z. Angew. Math. Mech., 80:S 809-S 810, 2000. [ Abstract ]
[4] Bruno Lang. Direct solvers for symmetric eigenvalue problems. In Johannes Grotendorst, editor, Modern Methods and Algorithms of Quantum Chemistry, Jülich, February 21-25, 2000, Proceedings, 2nd Edition, pages 231-259, Jülich, 2000. John von Neumann Institute for Computing. [ Abstract ]
[5] Christian H. Bischof, H. Martin Bücker, Jörg Henrichs, and Bruno Lang. Software-Praktikum Paralleles Programmieren mit Java. Report RWTH-CS-SC-00-13, RWTH Aachen, Lehrstuhl für Hochleistungsrechnen, 2000. [ Abstract ]

  1999

[1] Bruno Lang. Efficient eigenvalue and singular value computations on shared memory machines. Parallel Comput., 25(7):845-860, 1999. [ Abstract ]
[2] Bruno Lang. Efficient algorithms for reducing banded matrices to bidiagonal and tridiagonal form. In Peter Arbenz, Marcin Paprzycki, Ahmed Sameh, and Vivek Sarin, editors, High Performance Algorithms for Structured Matrix Problems, volume 2 of Advances in the Theory of Computation and Computational Mathematics, pages 75-89. Nova Science Publishers, Commack, NY, 1999. [ Abstract ]
[3] Benedikt Großer and Bruno Lang. Efficient parallel reduction to bidiagonal form. Parallel Comput., 25(8):969-986, 1999. [ Abstract ]
[4] Bruno Lang. A comparison of subdivision strategies for verified multi-dimensional Gaussian quadrature. In Tibor Csendes, editor, Developments in Reliable Computing - SCAN-98 Proceedings, pages 67-75, Dordrecht, The Netherlands, 1999. Kluwer Academic Publishers. [ Abstract ]
[5] Benedikt Großer and Bruno Lang. Using pentangular factorizations for the reduction to banded form. In P. Amestoy, P. Berger, M. Daydé, I. Duff, V. Frayssé, L. Giraud, and D. Ruiz, editors, EuroPar'99 Parallel Processing, volume 1685 of Lecture Notes in Computer Science, pages 1088-1095, Berlin, 1999. Springer-Verlag. [ Abstract ]
[6] Rudolf Berrendorf, Christian Bischof, Holger Brunst, Martin Bücker, Ulrich Detert, Rüdiger Esser, Michael Gerndt, Johannes Grotendorst, Inge Gutheil, Hans-Christian Hoppe, Friedel Hoßfeld, Bernd Körfgen, Bruno Lang, Dieter an Mey, Bernd Mohr, Wolfgang E. Nagel, Karl Solchenbach, Godehard Sutmann, Valentina Tikko, and Lothar Wollschläger. Gekoppelte SMP-Systeme im wissenschaftlich-technischen Hochleistungsrechnen - Status und Entwicklungsbedarf (GoSMP). Analyse im Auftrag des BMBF, Zentralinstitut für Angewandte Mathematik, Forschungszentrum Jülich GmbH, December 1999. [ Abstract ]

  1998

[1] Bruno Lang. Using level 3 BLAS in rotation-based algorithms. SIAM J. Sci. Comput., 19(2):626-634, March 1998. [ Abstract ]
[2] Bruno Lang. Verified quadrature in determining Newton's constant of gravitation. J.UCS, 4(1):16-24, 1998. [ Abstract ]

  1997

[1] Bruno Lang. Effiziente Orthogonaltransformationen bei der Eigen- und Singulärwertberechnung. Habilitationsschrift, Fachbereich Mathematik, Bergische Universität GH Wuppertal, 1997.
[2] Bruno Lang. Using level 3 BLAS in the QR algorithm. Z. Angew. Math. Mech., 77(S2):S 607-S 608, 1997. [ Abstract ]

  1996

[1] Bruno Lang. Parallel reduction of banded matrices to bidiagonal form. Parallel Comput., 22:1-18, 1996. [ Abstract ]
[2] Oliver Holzmann, Bruno Lang, and Holger Schütt. Newton's constant of gravitation and verified numerical quadrature. Reliab. Comput., 2(3):229-239, 1996. [ Abstract ]
[3] Bruno Lang. Reduction of banded matrices to bidiagonal form. Z. Angew. Math. Mech., 76(Supplement 1: ICIAM/GAMM 95 Proceedings):155-158, 1996. [ Abstract ]
[4] Götz Alefeld, Andreas Frommer, and Bruno Lang, editors. Scientific Computing and Validated Numerics - SCAN-95 Proceedings, volume 90 of Mathematical Research, Berlin, 1996. Akademie Verlag. [ Abstract ]

  1995

[1] Bruno Lang. Verifizierte Lösung von Gleichungs- und Ungleichungssystemen. Z. Angew. Math. Mech., 75(S II):S541-S542, 1995. [ Abstract ]

  1994

[1] Bruno Lang. Parallele Berechnung von Eigensystemen symmetrischer Bandmatrizen. Z. Angew. Math. Mech., 74(6):T541-T544, 1994. [ Abstract ]
[2] Christian H. Bischof, Bruno Lang, and Xiaobai Sun. Parallel tridiagonalization through two-step band reduction. In Proceedings of the Scalable High-Performance Computing Conference, Knoxville, Tennessee, May 23-25, 1994, pages 23-27, Los Alamitos, CA, 1994. IEEE Computer Society. [ Abstract ]

  1993

[1] Bruno Lang. A parallel algorithm for reducing symmetric banded matrices to tridiagonal form. SIAM J. Sci. Comput., 14(6):1320-1338, November 1993. [ Abstract ]

  1992

[1] Bruno Lang. Reducing symmetric banded matrices to tridiagonal form-A comparison of a new parallel algorithm with two serial algorithms on the iPSC/860. In L. Bougé, M. Cosnard, Y. Robert, and D. Trystram, editors, Parallel Processing: CONPAR 92-VAPP V - Proceedings Second Joint International Conference on Vector and Parallel Processing, Lyon, France, September 1992, volume 634 of Lecture Notes in Computer Science, pages 271-282, Berlin, 1992. Springer-Verlag. [ Abstract ]

  1991

[1] Bruno Lang. Parallele Reduktion symmetrischer Bandmatrizen auf Tridiagonalgestalt. Dissertation, Fakultät für Mathematik, Universität Karlsruhe, 1991.
[2] Bruno Lang. Matrix vector multiplication for symmetric matrices on parallel computers and applications. Z. Angew. Math. Mech., 71(6):T807-T808, 1991. [ Abstract ]

  1989

[1] Stephan Abramowski, Bruno Lang, and Heinrich Müller. Moving regular k-gons in contact. In J. van Leeuwen, editor, Graph-Theoretic Concepts in Computer Science, International Workshop WG '88 Proceedings, Amsterdam, June 15-17, 1988, pages 229-242, Berlin, 1989. Springer-Verlag. [ Abstract ]



University of Wuppertal
Faculty of Mathematics and Natural Sciences
Department of Mathematics and Computer Science
Applied Computer Science Group

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