Results 1 to 10 of about 5,544,078 (251)
Generalized Korn's inequality and conformal Killing vectors [PDF]
Calc.Var.Part.Differ.Equ.25:535-540, 2006, 2005 Korn's inequality plays an important role in linear elasticity theory. This inequality bounds the norm of the derivatives of the displacement vector by the norm of the linearized strain tensor. The kernel of the linearized strain tensor are the infinitesimal rigid-body translations and rotations (Killing vectors).
A. Tiero +8 more
arxiv +3 more sources
On an invariant related to a linear inequality [PDF]
Archiv der Mathematik, 2001 Let A be an m-dimensional vector with positive real entries. Let A_{i,j} be the vector obtained from A on deleting the entries A_i and A_j. We investigate some invariant and near invariants related to the solutions E (m-2 dimensional vectors with entries
Besser, Amnon, Moree, Pieter
core +4 more sources
An asymmetric Kadison's inequality [PDF]
arXiv, 2010 Some inequalities for positive linear maps on matrix algebras are given, especially asymmetric extensions of Kadison's inequality and several operator versions of Chebyshev's inequality. We also discuss well-known results around the matrix geometric mean and connect it with complex interpolation.
Bourin, Jean-Christophe, Ricard, Éric
arxiv +6 more sources
Linear interval inequalities [PDF]
Linear and Multilinear Algebra, 1994 We prove that a system of linear inequalities with interval-valued data is weakly solvable (each system obtained by fixing coefficeints in the intervals prescribed has a solution) if and only if it is strongly solvable (all such systems have a solution in common) and desribe an algorithm for checking strong solvability.
J. Rohn, Jana Krešlová
openalex +3 more sources
Linear inequalities in primes [PDF]
Journal d'Analyse Mathématique, 2021 In this paper we prove an asymptotic formula for the number of solutions in prime numbers to systems of simultaneous linear inequalities with algebraic coefficients. For $m$ simultaneous inequalities we require at least $m+2$ variables, improving upon existing methods, which generically require at least $2m+1$ variables. Our result also generalises the
openaire +2 more sources
Finite-dimensional Gaussian approximation with linear inequality constraints [PDF]
SIAM/ASA J. Uncertain. Quantification, 2017 Introducing inequality constraints in Gaussian process (GP) models can lead to more realistic uncertainties in learning a great variety of real-world problems.
A. F. López-Lopera +3 more
semanticscholar +1 more source
Approximating Gaussian Process Emulators with Linear Inequality Constraints and Noisy Observations via MC and MCMC [PDF]
Springer Proceedings in Mathematics & statistics, 2018 Adding inequality constraints (e.g. boundedness, monotonicity, convexity) into Gaussian processes (GPs) can lead to more realistic stochastic emulators. Due to the truncated Gaussianity of the posterior, its distribution has to be approximated.
A. F. López-Lopera +3 more
semanticscholar +1 more source
Non-linear Information Inequalities [PDF]
Entropy, 2008 We construct non-linear information inequalities from Mat´uˇs’ infinite series of linear information inequalities. Each single non-linear inequality is sufficiently strong to prove that the closure of the set of all entropy functions is not polyhedral for four or more random variables, a fact that was already established using the series of linear ...
Terence H. Chan, Alex Grant
openaire +3 more sources
A fast eigenvalue approach for solving the trust region subproblem with an additional linear inequality [PDF]
Computational and Applied Mathematics, 2015 In this paper, we study the extended trust region subproblem (eTRS) in which the trust region intersects the Euclidean ball with a single linear inequality constraint.
M. Salahi, A. Taati
semanticscholar +1 more source
From the Pr\'ekopa-Leindler inequality to modified logarithmic Sobolev inequality [PDF]
, 2007 We develop in this paper an improvement of the method given by S. Bobkov and M. Ledoux. Using the Pr\'ekopa-Leindler inequality, we prove a modified logarithmic Sobolev inequality adapted for all measures on $\dR^n$, with a strictly convex and super ...
Gentil, Ivan
core +3 more sources