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Existence Solution for a Non-smooth System [PDF]
Mathematics Interdisciplinary ResearchA variational method for a mixed boundary value problem in mathematical physics is considered. Using two-field Lagrange multipliers, we would investigate a variational formulation containing a mixed variational problem which is equivalent with a ...
Maisam Alizadeh +2 more
doaj +1 more source
On semidifferentiable interval-valued programming problems
Journal of Inequalities and Applications, 2021 In this paper, we consider the semidifferentiable case of an interval-valued minimization problem and establish sufficient optimality conditions and Wolfe type as well as Mond–Weir type duality theorems under semilocal E-preinvex functions.
Kin Keung Lai +2 more
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Sign-changing saddle point [PDF]
, 2005 In this paper, the Saddle-point theorems are generalized to a new version by showing that there exists a “sign-changing” saddle point besides zero. The abstract result is applied to the semilinear elliptic boundary value problem-Δu=f(x,u)inΩ,u=0on∂Ωand ...
Wenming Zou, Zou, Wenming
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On replica-nondiagonal large N saddles in the SYK model
EPJ Web of Conferences, 2018 We study the saddle points of the SYK model, formulated in terms of the replica bilocal fields, beyond the replica-diagonal assumption. We find a family of replica-nondiagonal saddle points in the IR limit, where the saddle point equations are separable.
Aref’eva Irina +3 more
doaj +1 more source
Journal of High Energy PhysicsA bstract Instantons and renormalons play important roles at the interface between perturbative and non-perturbative quantum field theory. They are both associated with branch points in the Borel transform of asymptotic series, and as such can be detected in perturbation ...
Arindam Bhattacharya +3 more
openaire +2 more sources
Federated Composite Saddle Point Optimization [PDF]
, 2023 Federated learning (FL) approaches for saddle point problems (SPP) have recently gained in popularity due to the critical role they play in machine learning (ML). Existing works mostly target smooth unconstrained objectives in Euclidean space, whereas ML
Bai, Site, Bullins, Brian
core +1 more source
Mountain Passes and Saddle Points
SIAM Review, 2015 Summary: Variational methods find solutions of equations by considering a solution as a critical point of an appropriately chosen function. Local minima and maxima are well-known types of critical points. We explore methods for finding critical points that are neither local maxima or minima, but instead are mountain passes or saddle points.
openaire +3 more sources
Constraint Preconditioning of Saddle Point Problems [PDF]
, 2015 This thesis is concerned with the fast iterative solution of linear systems of equations of saddle point form. Saddle point problems are a ubiquitous class of matrices that arise in a host of computational science and engineering applications.
Ladenheim, Scott Aaron
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Influence of Geometric Design on Mechanical Performance of Auxetic Metastructure
Advanced Engineering Materials, EarlyView.Strategic geometric reinforcement transforms auxetic performance. This study evaluates 3D‐printed arrowhead metastructures, revealing that a modified design with local ring reinforcement suppresses premature failure to achieve superior energy absorption and structural efficiency.
Muhammad Gulzari +3 more
wiley +1 more source
Glissile Interphase Boundaries Enable Collective Phase Switching in Epitaxial Polar Oxides
Advanced Functional Materials, EarlyView.A triple point is identified in the phase diagram of low‐symmetry epitaxial BiFeO3 thin film along with an extended regime of phase competition associated with a flattened energy landscape. The electromechanical response is shown to be governed by correlated interphase‐boundary motion, including scale‐free avalanche dynamics characteristic of systems ...
Mohammad Moein Seyfouri +11 more
wiley +1 more source