Zobrazeno 1 - 10
of 368
pro vyhledávání: '"Helmke, U."'
We study distributed network flows as solvers in continuous time for the linear algebraic equation $\mathbf{z}=\mathbf{H}\mathbf{y}$. Each node $i$ has access to a row $\mathbf{h}_i^{\rm T}$ of the matrix $\mathbf{H}$ and the corresponding entry $z_i
Externí odkaz:
http://arxiv.org/abs/1510.05176
We introduce a generalized Rayleigh-quotient on the tensor product of Grassmannians enabling a unified approach to well-known optimization tasks from different areas of numerical linear algebra, such as best low-rank approximations of tensors (data c
Externí odkaz:
http://arxiv.org/abs/1005.4854
An iterative decoding algorithm for convolutional codes is presented. It successively processes $N$ consecutive blocks of the received word in order to decode the first block. A bound is presented showing which error configurations can be corrected.
Externí odkaz:
http://arxiv.org/abs/0908.0753
Publikováno v:
Rep. Math. Phys. 64 (2009) 93--121
In view of controlling finite dimensional open quantum systems, we provide a unified Lie-semigroup framework describing the structure of completely positive trace-preserving maps. It allows (i) to identify the Kossakowski-Lindblad generators as the L
Externí odkaz:
http://arxiv.org/abs/0811.3906
Publikováno v:
Rev. Math. Phys. 22 (2010) 597--667
For addressing optimisation tasks on finite dimensional quantum systems, we give a comprehensive account of the foundations of gradient flows on Riemannian manifolds including new developments: we extend former results from Lie groups such as the ful
Externí odkaz:
http://arxiv.org/abs/0802.4195
Publikováno v:
Lin. Multilin. Alg. 56 (2008) 27--51
Motivated by applications in quantum information and quantum control, a new type of $C$"-numerical range, the relative $C$"-numerical range denoted $W_K(C,A)$, is introduced. It arises upon replacing the unitary group U(N) in the definition of the cl
Externí odkaz:
http://arxiv.org/abs/math-ph/0702005
Publikováno v:
In IFAC Proceedings Volumes January 2011 44(1):14330-14334
Autor:
Fuhrmann, P.A., Helmke, U.
Publikováno v:
In Linear Algebra and Its Applications 2010 432(10):2572-2588
Autor:
Fuhrmann, P.A., Helmke, U.
Publikováno v:
In Linear Algebra and Its Applications 2010 432(2):678-721