Coupled Dynamics Between Networks and Fields in Physical Space: A Theoretical Perspective
Annalen der Physik, Volume 538, Issue 9, September 2026.Networks embedded in physical space often communicate through dynamical fields that both mediate and respond to collective behavior. A unified theoretical perspective is presented for these network‐field systems, linking established mathematical frameworks and revealing how feedback between discrete interactions and continuous spatial processes can ...
Alex Arenas +4 more
wiley +1 more source
Environmetrics, Volume 37, Issue 6, September 2026.ABSTRACT In spatial regression models, unmeasured spatial variables, represented by spatial random effects, are typically not independent of observed covariates and can induce significant bias in covariate effect estimates. This fundamental problem, known as spatial confounding, has been extensively studied, but sometimes with puzzling and seemingly ...
Emiko Dupont, Isa Marques, Thomas Kneib
wiley +1 more source
Linear Complementarity Problems over Symmetric Cones: Characterization of Qb-transformations and Existence Results [PDF]
, 2013 Artículo de publicación ISIThis paper is devoted to the study of the symmetric cone linear complementarity problem (SCLCP). Specifically, our aim is to characterize the class of linear transformations for which the SCLCP has always a nonempty and ...
Ramírez Cabrera, Héctor +2 more
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On the finite termination of an entropy function based smoothing Newton method for vertical linear complementarity problems [PDF]
By using a smooth entropy function to approximate the non-smooth max-type function, a vertical linear complementarity problem (VLCP) can be treated as a family of parameterized smooth equations.
Fang, S.-C. +3 more
core
Properties of Classes of Linear Transformations in the Semidefinite Linear Complementarity Problem [PDF]
, 2010 The semidefinite linear complementarity problem (SDLCP) is ageneralization of the linear complementarity problem (LCP) inwhich linear transformations replace matrices and the cone ofpositive semidefinite matrices replaces the nonnegative orthant.We study
Wang, Xianzhi
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Absolute Value Equation Solution via Dual Complementarity [PDF]
, 2011 By utilizing a dual complementarity condition, we propose an iterative method for solving the NPhard absolute value equation (AVE): Ax?|x| = b, where A is an n n square matrix.
Mangasarian, Olvi
core
Complementarity Problems in GAMS and the PATH Solver [PDF]
, 1998 A fundamental mathematical problem is to find a solution to a square system of nonlinear equations. There are many methods to approach this problem, the most famous of which is Newton?s method.
Ferris, Michael C. +5 more
core
On the P'2 and P2-properties in the semidefinite linear complementarity problem
, 2010 Motivated by the so-called P2-property in the semidefinite linear complementarity problems, in this article, we introduce the concept of P2′-property for a linear transformation on the space of real n×n symmetric matrices. While these two properties turn
Chandrashekaran, A. +2 more
core +1 more source
Semidefinite lineare Komplementärprobleme
, 1977 Semidefinite linear complementarity problems arise by discretization of variational inequalities describing e.g. elastic contact problems, free boundary value problems etc.
Eckhardt, Ulrich, Eckhardt, U.
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Formulating and Solving Exhaustible Resource Models as Mixed Complementarity Problems in GAMS [PDF]
In this paper a formulation of dynamic non-linear programs as mixed complementarity problems (mcp) is shown. Models of exhaustible resource markets are used to describe the transformation.
Sven M. Flakowski
core