Zobrazeno 1 - 10
of 531 978
pro vyhledávání: '"(Schmidt, P"'
Interest in communication-avoiding orthogonalization schemes for high-performance computing has been growing recently. This manuscript addresses open questions about the numerical stability of various block classical Gram-Schmidt variants that have b
Externí odkaz:
http://arxiv.org/abs/2408.10109
In this study, we enhance the understanding of entanglement transformations and their quantification by extending the concept of Schmidt vector from pure to mixed bipartite states, exploiting the lattice structure of majorization. The Schmidt vector
Externí odkaz:
http://arxiv.org/abs/2407.17199
We study the character theory of diagonal products as well as alternating and elementary enrichments of groups. Our motivation is to show Hilbert-Schmidt stability for various diagonal products, including the classical family of B. H. Neumann groups.
Externí odkaz:
http://arxiv.org/abs/2407.11608
Autor:
Subroto, Robert Christian
We provide the Krull-Remak-Schmidt decomposition of group algebras of the form $k[G]$ where $k$ is a field, which includes fields with prime characteristic, and $G$ a finite abelian group. We achieved this by studying the geometric equivalence of $k[
Externí odkaz:
http://arxiv.org/abs/2408.14665
Autor:
Carere, Giuseppe, Lie, Han Cheng
In this work we solve, for given bounded operators $B,C$ and Hilbert--Schmidt operator $M$ acting on potentially infinite-dimensional separable Hilbert spaces, the reduced rank approximation problem, $\text{min}\{\Vert{M-BXC}\Vert_{HS}:\ \text{dim}\
Externí odkaz:
http://arxiv.org/abs/2408.05104
Autor:
Merici, Alberto
We construct a comparison functor between ($\mathbf{A}^1$-local) tame motives and ($\overline{\square}$-local) log-\'etale motives over a field $k$ of positive characteristic. This generalizes Binda--Park--{\O}stv{\ae}r's comparison for the Nisnevich
Externí odkaz:
http://arxiv.org/abs/2408.02499
Orbital Angular Momentum (OAM) modes are an important resource used in various branches of quantum science and technology due to their unique helical structure and countably infinite basis. Generating light that simultaneously carries high-order orbi
Externí odkaz:
http://arxiv.org/abs/2407.12571
Autor:
Ballesteros-Paredes, Javier, Zamora-Avilés, Manuel, Román-Zúñiga, Carlos, Palau, Aina, Cervantes-Sodi, Bernardo, Gutiérrez-Dávila, Karla, Camacho, Vianey, Jiménez-Andrade, Eric, Gazol, Adriana
We explain the large variety of star formation laws in terms of one single, simple law that can be inferred from the definition of the star formation rate and basic algebra. The resulting equation, $\SFR = \eff\ \Mcollapsing/\tauff$, although it has
Externí odkaz:
http://arxiv.org/abs/2408.13636
Block classical Gram-Schmidt (BCGS) is commonly used for orthogonalizing a set of vectors $X$ in distributed computing environments due to its favorable communication properties relative to other orthogonalization approaches, such as modified Gram-Sc
Externí odkaz:
http://arxiv.org/abs/2405.01298
Lyapunov-Schmidt reduction is a dimensionality reduction technique in nonlinear systems analysis that is commonly utilised in the study of bifurcation problems in high-dimensional systems. The method is a systematic procedure for reducing the dimensi
Externí odkaz:
http://arxiv.org/abs/2406.00066