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Solving interpolation problems via generalized eigenvalue minimization
Generalized eigenvalue interpolation control system the analysis of linear matrix inequality
2015/8/12
A number of problems in the analysis and design of control systems may be reformulated as the problem of minimizing the largest generalized eigenvalue of a pair of symmetric matrices which depend affi...
Reducing scattering problems under cone potentials to normal form by global canonical transformations
scattering problems cone normal form global canonical transformations Exactly Solvable and Integrable Systems
2012/4/26
We introduce a class of Hamiltonian scattering systems which can be reduced to the "normal form" $\dot P=0$, $\dot Q=P$, by means of a global canonical transformation $ (P,Q)=A(p,q), p,q\in R^n$, defi...
Variational Minimizing Parabolic Orbits for the Restricted 3-Body Problems
Restricted 3-Body Problems Variational Minimizers Odd Parabolic Orbits
2011/10/26
The Least Action Principle is the simplest and the most nature rule in the world. Using variational minimizing methods and the implicit symmetries, we prove the existence of the odd symmetric paraboli...
We investigate higher-order geometric k-splines for template matching on Lie groups. This is motivated by the need to apply diffeomorphic template matching to a series of images,e.g., in longitudinal ...
We investigate higher-order geometric k-splines for template matching on Lie groups. This
is motivated by the need to apply diffeomorphic template matching to a series of images,
e.g., in longitudin...
On the equivariant implicit function theorem with low regularity and applications to geometric variational problems
equivariant implicit function theorem low regularity and applications variational problems
2010/12/14
We prove an implicit function theorem for functions on infinite dimensional Banach manifolds, invariant under the (local) action of a finite dimensional Lie group. Motivated by some geometric variatio...
A variational approach to dislocation problems for periodic Schrödinger operators
Schr¨odinger operators eigenvalues spectral gaps
2010/12/8
As a simple model for lattice defects like grain boundaries in solid state physics we consider potentials which are obtained from a periodic potential V = V (x, y) on R2 with period lattice Z2 by sett...
Reformulation of the Covering and Quantizer Problems as Ground States of Interacting Particles
Reformulation Covering Quantizer Problems Ground States
2010/12/16
It is known that the sphere packing problem and the number variance problem (closely related
to an optimization problem in number theory) can be posed as energy minimizations associated
with an infi...