Publications of U. Helmke

(under construction!)

Books and Edited Journals

  1. Optimization and Dynamical Systems,
    Communications and Control Engineering Series,
    Springer Verlag, London (1994), with J.B. Moore.
  2. Systems and Networks: Mathematical Theory and Applications, Vol. I: Key Invited Lectures,
    (Editor: U. Helmke, R. Mennicken and J. Saurer),
    Akademie Verlag, Berlin (1994).
  3. Systems and Networks: Mathematical Theory and Applications, Vol. II: Invited and Contributed Papers,
    (Herausgeber: U. Helmke, R. Mennicken and J. Saurer)
    Akademie Verlag, Berlin (1994).
  4. Operators, Systems, and Linear Algebra,
    (Herausgeber: U. Helmke, D. Prätzel-Wolters and E. Zerz),
    Festschrift on the occasion of the 60th birthday of P.A. Fuhrmann,
    B. G. Teubner Verlag, Stuttgart (1997).
  5. Advances in Mathematical Systems Theory,
    (Herausgeber: F. Colonius, U. Helmke, D. Prätzel-Wolters und F. Wirth),
    Festschrift on the occasion of the 60th birthday of D. Hinrichsen, Birkhäuser Publ., Boston (2001).
  6. Special Issue: Lie theory and its applications in control,
    (Guest Editors: U. Helmke, K. H\"uper and J. Lawson),
    Systems and Control Letters 1, Vol. 43 (2001).

Book Chapters

  1. Isospectral matrix flows for numerical analysis, in:
    SVD and Signal Processing III, Algorithms, Architectures and
    Applications (M. Moonen and B. de Moor, Eds.), Elsevier Publ. (1995), 33--60.
  2. The Jacobi method: A tool for computation and control,
    in: Systems and Control in the Twenty--First Century (C.I. Byrnes, et.al. Eds.), Birkh\"auser Verlag (1996).
  3. Generalized partial realizations, in: Operators, Systems, and
    Linear Algebra, (Herausgeber: U. Helmke, D. Prätzel-Wolters and E. Zerz),
    Festschrift on the occasion of the 60th birthday of P. A. Fuhrmann,
    B. G. Teubner-Verlag, Stuttgart (1997) 138--156.
  4. On the parameterization of conditioned invariant subspaces, in:
    Advances in Mathematical Systems Theory, (Herausgeber: F. Colonius, U. Helmke, D. Präatzel-Wolters und
    F. Wirth), Festschrift on the occasion of the 60th birthday of D. Hinrichsen,
    Birkhäuser-Verlag, Boston (2001).
  5. Geometry of Quantum Computing by Hamiltonian Dynamics of Spin Ensembles,
    Applications of Geometric Algebra in Computer Science and Engineering,
    Progress in Physics, 199--210, (L. Dorst et al, eds.),
    Birkhäuser, Boston, 2002,
    with T. Schulte-Herbrüggen, K. Hüper and S. Glaser.
  6. Numerics versus control,
    IMA Volume on mathematical systems theory in biology, communication, computation, and finance,
    (Editors: D. Gilliam and J. Rosenthal), IMA Publ., Minneapolis (2003).
  7. Dynamics of Principal and Minor Component Flows,
    2002 MTNS Problem Book: Open Problems on the Mathematical Theory of Systems
    (Eds.: V. Blondel, A. Megretski), pp. 31--34,
    with R. Evans, J. Manton, I. Mareels and S. Yoshizawa.

Preprints

  1. Computation of time optimal NMR pulse sequences for two-spin systems, 2004,
    with G. Dirr, K. Hüper, M. Kleinsteuber and Y. Liu.
  2. A path following method for tracking of time-varying essential matrices, 2004, with M. Baumann
  3. Projection algorithms for robust optimal grasping, 2004, with M. Hümmer and K. Hüper
  4. A Newton-like method for solving rank constrained linear matrix inequalities, 2004, with R. Orsi and J.B. Moore
  5. Global properties of the Grassmann-Rayleigh quotient iteration, 2004, with P.A. Absil and K. Hüper
  6. Genericity of algebraically observable polynomial systems: the discrete-time case, 2004, with J. Manton
  7. Output feedback pole assignment for transfer functions with symmetries, 2003,
    with J. Rosenthal.

Articles (since 2001)

  1. Genericity of algebraically observable polynomial systems,
    submitted to Mathematics of Control, Signals, and Systems (2003),
    with C. F. Martin and Y. Zhou.
  2. A dual purpose principal and minor component flow,
    submitted to Systems and Control Letters (2003),
    with J. Manton and I. Mareels.
  3. A finite steps algorithm for solving convex feasibility problems,
    submitted to SIAM J. Optimization (2003),
    with M. Ait Rami and J. B. Moore.
  4. Towards a compactification of the set of conditioned invariant subspaces,
    Systems and Control Letters 48 (2003), 101--111,
    with P. Fuhrmann and J. Trumpf.
  5. Newton's algorithm in Euclidean Jordan algebras, with applications to robotics,
    Communications in Information and Systems 2 (2002), 283--298,
    with S. Ricardo and S. Yoshizawa.
  6. Singular value decomposition for time-varying matrices,
    Future Generation Computer Systems 19 (2003), 353--361,
    with M. Baumann.
  7. The Jacobi algorithm on compact Lie algebras,
    to appear in SIAM J. Matrix Analysis and Appl.,
    with M. Kleinsteuber and K. Hüper.
  8. Computation of signature symmetric balanced realizations,
    Journal of Global Optimization 27 (2003), 135--148,
    with K. Hüper and J. Moore.
  9. Output feedback invariants,
    Linear Algebra and its Applications 351-352 (2002), 623--637,
    with M. S. Ravi and J. Rosenthal.
  10. Global convergence analysis for principal component flows,
    Applied Mathematics and Computer Science 11 (2001), 223--236,
    with K. Starkov und S. Yoshizawa. Corrections in: Applied Mathematics and Computer
    Science 12 (2002), 229.
  11. Gradient flows computing the C-numerical range with applications in NMR spectroscopy,
    Journal of Global Optimization 23 (2002), 283--308,
    with K. Hüper, J.B. Moore and Th. Schulte-Herbrüggen.
  12. Structure and parameterization of periodic linear systems,
    submitted to SIAM J. Matrix Analysis Appl.,
    with E. Verriest.
  13. Connectivity properties of spaces of partial realizations,
    Systems & Control Letters 43 (2001), 225--238,
    with W. Manthey.
  14. Quadratically convergent algorithms for optimal dextrous hand grasping,
    IEEE Transactions on Robotics and Automation 18 (2002), 138--146,
    with K. Hüper and J.B. Moore.
  15. Controllability properties of numerical eigenvalue algorithms,
    Systems & Control Letters 43 (2001), 9--23,
    with F. Wirth.
  16. On the parametrization of conditioned invariant subspaces and observer theory,
    Linear Algebra and its Applications 332--334 (2001), 265--353,
    with P.A. Fuhrmann.
  17. Minimal partial realization by descriptor systems,
    Linear Algebra and its Applications 326 (2001), 45--84,
    with D. Hinrichsen and W. Manthey.

Webauftritt:

Institut für Mathematik    Campus Hubland Nord    97074 Würzburg    Tel. 0931/31-85004