Recent Publications of Hans Bruun Nielsen

Last updated 19.4.2004

Books

  • H.B. Nielsen, Numerisk Lineær Algebra. IMM, DTU. 2nd ed. 1996. 238 pages.


    • Scientific Papers

  • H.B. Nielsen, Methods for Analyzing Pipe Networks. ASCE J. Hydraulic Engineering 115,2 (1989), 139-157.
  • Z. Zlatev, H.B. Nielsen, Solving Large and Sparse Linear Least-Squares Problems by Conjugate Gradient Algorithms. Comput. Math. Applic. 15, 3 (1988), 185-202.
  • K. Madsen, H.B. Nielsen, Finite Algorithms for Robust Linear Regression, BIT 30 (1990), 682-699.
  • C.T. Hansen, H.B. Nielsen, K. Madsen, Optimization of Pipe Networks, Mathematical Programming 52 (1991), 45-58.
  • K. Madsen, H.B. Nielsen, A Continuation Method for Linear Estimation. 2nd Int. Conf. On Stat. Data Analysis based on the L1-norm and Related Methods, Neuchatel, Y.Dodge, ed., North Holland (1992), 371-377.
  • K. Madsen, H.B. Nielsen, A Finite Smoothing Algorithm for Linear l1 Estimation, SIAM J. on Optimization 3 (1993), 223-235.
  • K. Madsen, H. B. Nielsen, M.C. Pinar, New Characterizations of Solutions to Overdetermined Systems of Linear Equations, Operations Research Letters 16, 3 (1994), 159-166.
  • C. Bendtsen, P. C. Hansen, K. Madsen, H. B. Nielsen, M.C. Pinar, Implementation of QR up- and downdating on a massively parallel computer, Parallel Computing 21 (1995), 49-61.
  • K. Jensen, I. Søndergaard, I.M. Skovgaard, H.B. Nielsen, From Image Processing to Classification: 1. Modelling Disturbances of Isoelectric Focusing Patterns. Electrophoresis 16 (1995), 921-926.
  • H. Ekblom, H.B. Nielsen, Computing M-Estimates. Computational Statistics and Data Analysis, Barcelona. (1996), 6 pages.
  • K. Madsen, H.B. Nielsen, M.C. Pinar, A New Finite Continuation Algorithm for Linear Programming, SIAM J. Optimization 6, 3 (1996), 600-616.
  • G. Greene, R. Greene, H.B. Nielsen, S. Markvorsen, P. Røgen, R. Sinclair, M. Ungstrup, Feature Recognition for Automated Sculpture Reproduction, ECMI Newsletter 25, (1999), 15-18.
  • K. Madsen, H.B. Nielsen, M.C. Pinar, A Finite Continuation Algorithm for  Bound Cibstrained Quadrattic Programming, SIAM J. Optimization 9, 1 (1999), 62-83.
  • K. Madsen, H. B. Nielsen, M.C. Pinar, Bound Constrained Quadratic Programming via Piecewise Quadratic Functions, Mathematical Programming 85 (1) (1999), 135-156.


    • Technical Reports

  • H.B. Nielsen, N.E. Hansen, Some Experiments with Simultaneous Iteration. Report NI 89-01, Institute for Numerical Analysis, DTU. (1989). 24 pages.
  • H.B. Nielsen, Huber Fitting of a Straight Line. Report NI 89-02, Institute for Numerical Analysis, DTU. (1989). 12 pages.
  • H.B. Nielsen, LHUBER - a Fortran77 Function for Linear Huber Estimation. Report NI 89-03, Institute for Numerical Analysis, DTU. (1989). 14 pages.
  • H.B. Nielsen, AAFAC: A Package of Fortran77 Subprograms for Solving A'Ax = c. Report NI 90-01, Institute for Numerical Analysis, DTU. (1990). 36 pages.
  • H.B. Nielsen, Implementation of a Finite Algorithm for Linear L1 Estimation. Report NI 91-01, Institute for Numerical Analysis, DTU. (1991). 49 pages.
  • H.B. Nielsen, SPLPAK - Pascal and Fortran77 Subprograms for Cubic Splines. Report NI 91-06, Institute for Numerical Analysis, DTU. (1991). 28 pages.
  • K. Madsen, H.B. Nielsen, M.C. Pinar, Linear, Quadratic and Minimax Programming Using L1 Optimization. Report NI-92-11, Institute for Numerical Analysis, DTU. (1992). 16 pages.
  • K. Madsen, H.B. Nielsen, M.C. Pinar, Experience with a Continuation Algorithm for Dense Linear Programming on the Connection Machine CM-200. Report NI-93-02, Institute for Numerical Analysis, DTU. (1993). 37 pages.
  • K. Madsen, H.B. Nielsen, M.C. Pinar, C. Bendtsen, P.C. Hansen, Solution of Bounded Variable Linear Programs on a Massively Parallel Computer. Report NI-93-08, Institute for Numerical Analysis, DTU. (1993). 25 pages.
  • K. Madsen, H.B. Nielsen, M.C. Pinar, User's Guide to LPASL1: A Fortran77 Package Based on a Continuation Algorithm for Dense Linear Programming. Report IMM-REP-1994-02, Department of Mathematical Modelling, DTU. (1994), 28 pages.
  • H.B. Nielsen, Algorithms for Computing Pipe Network "Loops". Report IMM-REP-1994-04, Department of Mathematical Modelling, DTU. (1994), 40 pages.
  • H.B. Nielsen, Fitting Data from Electrophoretic Analysis of Wheat. Report IMM-REP-1994-08, Department of Mathematical Modelling, DTU. (1994), 31 pages.
  • H.B. Nielsen, Automatic Classification from Electropherograms. Report IMM-REP-1995-01, Department of Mathematical Modelling, DTU. (1995), 22 pages.
  • H. Ekblom, H.B. Nielsen, A Comparison of eight Algorithms for Computing M-Estimates. Report IMM-REP-1996-15, Department of Mathematical Modelling, DTU. (1996), 14 pages.
  • H.B. Nielsen, Bound Constrained Quadratic Programming Solved via Piecewise Quadratic Functions. Implementation, Report IMM-REP-1996-21, Department of Mathematical Modelling, DTU. (1996), 33 pages.
  • H.B. Nielsen, QPBOX USER'S GUIDE, A Fortran77 Package for Box Constrained Quadratic Programs, Report IMM-REP-1997-04, Department of Mathematical Modelling, DTU. (1997), 14 pages.
  • K. Madsen, H. B. Nielsen, M.C. Pinar, Bound Constrained Quadratic Programming via Piecewise Quadratic Functions, Report IMM-REP-1997-05, Department of Mathematical Modelling, DTU. (1997), 18 pages. Published in Mathematical Programming, January 1999.
  • H. B. Nielsen, Computing a Minimizer of a Piecewise Quadratic - Implementation. Report IMM-REP-1998-14, Department of Mathematical Modelling, DTU. (1998), 31 pages.
  • H. B. Nielsen, Damping Parameter in Marquardt's Method. Report IMM-REP-1999-05, Department of Mathematical Modelling, DTU. (1999), 31 pages.
  • H. B. Nielsen (ed), Extended Abstracts from 3rd Scandinavian Workshop on Linear Programming, August 26 - 28, 1999. Report IMM-REP-1999-12, Department of Mathematical Modelling, DTU. (1999), 58 pages.
  • H. B. Nielsen, Separable NonLinear Least Squares. Report IMM-REP-2000-01, Department of Mathematical Modelling, DTU. (2000), 16 pages.
  • H. B. Nielsen, Multi-Exponential Fitting of Low-Field 1H NMR Data. Report IMM-REP-2000-03, Department of Mathematical Modelling, DTU. (2000), 30 pages.
  • H. B. Nielsen (ed), Abstracts from 1st international conference on Surrogate Modelling and Space Mapping for Engineering Optimization. November 16-18, 2000. Report IMM-REP-2000-16, Department of Mathematical Modelling, DTU. (2000), 41 pages.
  • H. B. Nielsen, UCTP - Test Problems for Unconstrained Optimization. Report IMM-REP-2000-17, Department of Mathematical Modelling, DTU. (2000), 19 pages.
  • H. B. Nielsen, UCMINF - an Algorithm for Unconstrained, Nonlinear Optimization. Report IMM-REP-2000-19, Department of Mathematical Modelling, DTU. (2000), 24 pages.
  • K. Madsen, H.B. Nielsen, J. Søndergaard, Robust Subroutines for Non-Linear Optimization. Report IMM-REP-2002-02, Informatics and Mathematical Modelling, DTU. (2002), 36 pages.
  • S.N. Lophaven, H.B. Nielsen, J. Søndergaard, DACE - A Matlab Kriging Toolbox, Version 2.0. Report IMM-REP-2002-12, Informatics and Mathematical Modelling, DTU. (2002), 34 pages.
  • S.N. Lophaven, H.B. Nielsen, J. Søndergaard, Aspects of the Matlab Toolbox DACE. Report IMM-REP-2002-13, Informatics and Mathematical Modelling, DTU. (2002), 44 pages.


    • Lecture Notes
    NI denotes Institute for Numerical Analysis, DTU.
    IMM denotes Department of Mathematical Modelling, DTU.

  • Th. Busk, H.B. Nielsen, Numerisk Integration. H43, NI. 4th ed. (1993), 24 pages.
  • H.B. Nielsen, Kubiske Splines. H45, NI. 2nd ed. (1991), 70 pages.
  • H.B. Nielsen, P.G. Thomsen, Numeriske Metoder for Sædvanlige Differentialligninger. H66, NI. 2nd ed. (1993), 44 pages.
  • H.B. Nielsen, Egenløsninger for Matricer. H68, NI (1995), 102 pages.
  • L.H. Hansen, H.B. Nielsen, Introduktion til MATLAB ved IMM's kurser. IMM (1996), 27 pages.
  • H.B. Nielsen, P.G. Thomsen, Supplerende Noter til Regning på Datamater 1. IMM (1997), 8 pages.
  • H.B. Nielsen, Direct Methods for Sparse Matrices. IMM (1997), 44 pages.
  • H.B. Nielsen, Algorithms for Linear Optimization - an Introduction. IMM (1998), 118 pages.
  • H.B. Nielsen, Cubic Splines. IMM (1998), 80 pages.
  • H.B. Nielsen, Algorithms for Linear Optimization - an Introduction, 2nd edition. IMM (1999), 122 pages.
  • K. Madsen, H.B. Nielsen, O. Tingleff, Methods for Non-Linear Least Squares Problems, IMM (1999), 56 pages.
  • P.E. Frandsen, K. Jonasson, H.B. Nielsen, O. Tingleff, Unconstrained Optimization, IMM (1999), 86 pages.
  • P.E. Frandsen, K. Jonasson, H.B. Nielsen, O. Tingleff, Unconstrained Optimization, 3rd edition, IMM (2004), 79 pages.
  • K. Madsen, H.B. Nielsen, O. Tingleff, Methods for Non-Linear Least Squares Problems, 2nd edition, IMM (2004), 60 pages.

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