Cyclic amenability of Lau product and module extension Banach algebras
پژوهشهای ریاضی, 2022 Introduction The notion of weak amenability for commutative Banach algebras was introduced and studied for the first time by Bade, Curtis and Dales. Johnson extended this concept to the non commutative case and showed that group algebras of all locally ...
Mohammad Ramezanpour, Mahdieh Alikahi
doaj
Algorithms and Data Structures for Sparse Polynomial Arithmetic
Mathematics, 2019 We provide a comprehensive presentation of algorithms, data structures, and implementation techniques for high-performance sparse multivariate polynomial arithmetic over the integers and rational numbers as implemented in the freely available Basic ...
Mohammadali Asadi +3 more
doaj +1 more source
Orthogonality graph of the algebra of upper triangular matrices [PDF]
arXiv, 2016 We study the connectedness and the diameter of orthogonality graphs of upper triangular matrix algebras over arbitrary fields.
arxiv
Three‐dimensional lattice ground states for Riesz and Lennard‐Jones–type energies
Studies in Applied Mathematics, Volume 150, Issue 1, Page 69-91, January 2023., 2023 Abstract The Riesz potential fs(r)=r−s$f_s(r)=r^{-s}$ is known to be an important building block of many interactions, including Lennard‐Jones–type potentials fn,mLJ(r):=ar−n−br−m$f_{n,m}^{\rm {LJ}}(r):=a r^{-n}-b r^{-m}$, n>m$n>m$ that are widely used in molecular simulations.
Laurent Bétermin +2 more
wiley +1 more source
The images of multilinear polynomials on strictly upper triangular matrices [PDF]
arXiv, 2018 The purpose of this paper is to describe the images of multilinear polynomials of arbitrary degree on the strictly upper triangular matrix algebra.
arxiv
Nonlinear Lie derivations of triangular algebras
Linear Algebra and its Applications, 2010 AbstractIn this paper we prove that every nonlinear Lie derivation of triangular algebras is the sum of an additive derivation and a map into its center sending commutators to zero.
Jian-Hua Zhang, Weiyan Yu, Weiyan Yu
openaire +2 more sources
Data assimilation errors due to incomplete accounting of balanced versus unbalanced moisture
Quarterly Journal of the Royal Meteorological Society, EarlyView.We investigate data assimilation strategies with moisture and assess the impact of accounting for moisture's balanced and unbalanced components. To illustrate the main ideas, examples are presented using a simple model consisting of linear, moist, shallow‐water equations with stochastic forcing.
H. Reed Ogrosky +3 more
wiley +1 more source
Accelerating eigenvector and pseudospectra computation using blocked multi-shift triangular solves [PDF]
arXiv, 2016 Multi-shift triangular solves are basic linear algebra calculations with applications in eigenvector and pseudospectra computation. We propose blocked algorithms that efficiently exploit Level 3 BLAS to perform multi-shift triangular solves and safe multi-shift triangular solves.
arxiv
Unbiased calculation, evaluation, and calibration of ensemble forecast anomalies
Quarterly Journal of the Royal Meteorological Society, EarlyView.Standard methods for calculating ensemble forecast anomalies result in statistical inconsistencies between forecast and verification anomalies, even if the underlying forecasts are perfectly reliable. An unbiased evaluation of anomaly‐based ensemble forecasts must account for differences in climatological sampling uncertainty between forecasts and ...
Christopher D. Roberts +1 more
wiley +1 more source
Hopf Galois extensions, triangular structures, and Frobenius Lie algebras in prime characteristic [PDF]
arXiv, 2002 We investigate the transformed Hopf algebras in Hopf Galois extensions. The final goal of this paper is to introduce certain triangular Hopf algebras associated with restricted Frobenius Lie algebras over a field of characteristic $p>0$.
arxiv