Nonlinear Iwasawa decomposition of control flows
نویسندگان
چکیده
منابع مشابه
Double Quantum Groups and Iwasawa Decomposition
The double quantum groups Cq[D(G)] = Cq [G] 1 Cq[G] are the Hopf algebras underlying the complex quantum groups of which the simplest example is the quantum Lorentz group. They are nonstandard quantizations of the double group G × G. We construct a corresponding quantized universal enveloping algebra Uq(d(g)) and prove that the pairing between Cq [D(G)] and Uq(d(g)) is nondegenerate. We analyze...
متن کاملA Note on Iwasawa-Type Decomposition
In Poisson geometry, the groups SU p, q andAN the upper-triangular subgroup of SL n, with real positive diagonal entries are naturally dual to each other 1 . Therefore, it is important to know the geometry of the orbits of the dressing action. We show that the right dressing action of SU p, q is globally defined on the open subset of the so-called admissible elements of AN see Section 2 . We al...
متن کاملApplications of Simplicial Decomposition with Nonlinear Column Generation to Nonlinear Network Flows
The simplicial decomposition method for linearly constrained nonlinear programs has been proven to be eecient for certain classes of structured large-scale problems. This method alternates between a multi-dimensional search over a restriction of the feasible set and an augmentation of the restriction through the solution of a linear column generation problem. The quality of the columns generate...
متن کاملIsotropic foliations of coadjoint orbits from the Iwasawa decomposition
Let G be a real semisimple Lie group. The regular coadjoint orbits of G (a certain dense family of top-dimensional orbits) can be partitioned into a finite set of types. We show that on each regular orbit, the Iwasawa decomposition induces a left-invariant foliation which is isotropic with respect to the Kirillov symplectic form. Moreover, the dimension of the leaves depends only on the type of...
متن کاملOn the Iwasawa decomposition of a symplectic matrix
We consider the computation of the Iwasawa decomposition of a symplectic matrix via the QR factorization. The algorithms presented improve on the method recently described by T.-Y. Tam in [Computing Iwasawa decomposition of a symplectic matrix by Cholesky factorization, Appl. Math. Lett. (in press) doi:10.1016/j.aml.2006.03.001]. c © 2006 Elsevier Ltd. All rights reserved.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2007
ISSN: 1078-0947
DOI: 10.3934/dcds.2007.18.339