Journal ArticleDOI
Positive Definite Matrices
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In this paper, positive definite matrices have been studied in the context of Positive Definite Matrices (PDM) and positive definiteness matrices (PVDM).Abstract:
(1970). Positive Definite Matrices. The American Mathematical Monthly: Vol. 77, No. 3, pp. 259-264.read more
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Inverse M-matrices☆
TL;DR: In this paper, a comprehensive expository study of nonnegative matrices which happen to be inverses of M-matrices is presented, aimed at an audience conversant with basic ideas of matrix theory.
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Feasibility and coexistence of large ecological communities.
Jacopo Grilli,Matteo Adorisio,Samir Suweis,György Barabás,Jayanth R. Banavar,Stefano Allesina,Stefano Allesina,Amos Maritan +7 more
TL;DR: A geometrical framework to study the range of conditions necessary for feasible coexistence in mutualistic systems is developed and it is shown that feasibility is determined by few quantities describing the interactions, yielding a nontrivial complexity–feasibility relationship.
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Coexistence of many species in random ecosystems
Carlos A. Serván,José A. Capitán,José A. Capitán,Jacopo Grilli,Kent E. Morrison,Stefano Allesina,Stefano Allesina +6 more
TL;DR: The results identify the main drivers responsible for widespread coexistence in natural communities, providing a baseline for determining which structural aspects of empirical communities promote or hinder coexistence.
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Distributed Learning for Stochastic Generalized Nash Equilibrium Problems
TL;DR: In this article, a stochastic formulation of the generalized Nash equilibrium problem where agents are subject to randomness in the environment of unknown statistical distribution is examined, and penalized individual cost functions are employed to deal with coupled constraints.
Journal ArticleDOI
Compact exponential scheme for the time fractional convection-diffusion reaction equation with variable coefficients
TL;DR: A high-order compact exponential finite difference scheme for solving the time fractional convection-diffusion reaction equation with variable coefficients is considered, and the solvability of this fully discrete implicit scheme is proved.