Reports 1999

NA1999/22
H.-M. Gutmann
"A radial basis function method for global optimization"

NA1999/21
S. Blanes and P.C. Moan
"Splitting Methods for non-autonomous differential equations"

NA1999/20
E. Celledoni, A. Iserles, S.P. Norsett and B. Orel
"Complexity theory for Lie-group solvers"

NA1999/19
S. Blanes and P.C. Moan
"Splitting Methods for the Time-dependent Schrödinger Equation"

NA1999/18
K. Engø and S. Faltinsen
"Numerical integration of Lie-Poisson systems while preserving coadjoint orbits and energy"

NA1999/17
R. Hauser
"Nesterov-Todd Directions are Newton Directions"

NA1999/16
R. Hauser
"Primal-Dual Symmetric Scale-Invariant Square-Root Fields for Isotropic Self-Scaled Barrier Functionals"

NA1999/15
R. Hauser
"Target Directions for Primal-Dual Interior-Point Methods for Self-Scaled Conic Programming"

NA1999/14
R. Hauser
"Square-Root Fields and the ``V-Space'' Approach to Primal-Dual Interior-Point Methods for Self-Scaled Conic Programming"

NA1999/13
R. Hauser
"Self-Scaled Barrier Functions: Decomposition and Classification"

NA1999/12
A. Iserles and A. Zanna
"Preserving algebraic invariants with Runge-Kutta methods"

NA1999/11
A.C. Faul and M.J.D. Powell
"Krylov subspace methods for radial basis function interpolation"

NA1999/10
S. Blanes, L. Jodar and E. Ponsoda
"Approximate solutions with a priori error bounds for continuous-coefficient matrix Riccati equations"

NA1999/09
S. Blanes, F. Casas and J. Ros
"Extrapolation of Symplectic Integrators"

NA1999/08
S. Blanes, F. Casas and J. Ros
"Improved High Order Integrators Based on Magnus Expansion"

NA1999/07
M.J.D. Powell
"On the convergence of the DFP algorithm for unconstrained optimization when there are only two variables"

NA1999/06
Arieh Iserles and Antonella Zanna
"On the dimension of certain graded Lie algebras arising in geometric integration of differential equations"

NA1999/05
Malcolm Sabin
"Explorations in 3D integer based linear geometry"

NA1999/04
Arieh Iserles
"On Cayley-transform methods for the discretization of Lie-group equations"

NA1999/03
Elena Celledoni and Arieh Iserles
"Methods for the approximation of the matrix exponential in a Lie-algebraic setting"

NA1999/02
Antonella Zanna, Kenth Engø and Hans Z. Munthe-Kaas
"Adjoint and selfadjoint Lie-group methods"

NA1999/01
Arieh Iserles
"How large is the exponential of a banded matrix?"