Semilinear equations with strongly monotone nonlinearity
Le Matematiche, 1997 It is presented a method to solve semilinear equations in real Hilbert spaces. Some applications to differential equations are given.
Cristinel Mortici
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Do All Constructive Strongly Monotone Intertemporal Orders Exhibit Impatience? [PDF]
SSRN Electronic Journal, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuntal Banerjee, Ram Sewak Dubey
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Tensor methods for strongly convex strongly concave saddle point problems and strongly monotone variational inequalities [PDF]
Computer Research and Modeling, 2020 In this paper we propose two $p$-th order tensor methods for $\mu$-strongly-convex-strongly-concave saddle point problems. The first method is based on the assumption of $L_p$-smoothness of the gradient of the objective and it achieves a convergence rate
P. Ostroukhov +3 more
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Strongly Exponential Separation between Monotone VP and Monotone VNP [PDF]
ACM Transactions on Computation Theory, 2019 We show that there is a sequence of explicit multilinear polynomials Pn (x1, … ,xn) ϵ R [x1, … ,xn] with non-negative coefficients that lies in monotone VNP such that any monotone algebraic circuit for Pn must have size exp (Ω (n)) This builds on (and ...
S. Srinivasan
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Prevalent behavior of smooth strongly monotone discrete-time dynamical systems [PDF]
Proceedings of the American Mathematical Society, 2021 For C-smooth strongly monotone discrete-time dynamical systems, it is shown that “convergence to linearly stable cycles” is a prevalent asymptotic behavior in the measuretheoretic sense.
Yi Wang, Jinxiang Yao, Yufeng Zhang
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A Dynamical System for Strongly Pseudo-monotone Equilibrium Problems [PDF]
Journal of Optimization Theory and Applications, 2020 In this paper, we consider a dynamical system for solving equilibrium problems in the framework of Hilbert spaces. First, we prove that under strong pseudo-monotonicity and Lipschitz-type continuity assumptions, the dynamical system has a unique ...
P. Vuong, J. Strodiot
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Algorithm for Solutions of Nonlinear Equations of Strongly Monotone Type and Applications to Convex Minimization and Variational Inequality Problems [PDF]
Abstract and Applied Analysis, 2020 Real-life problems are governed by equations which are nonlinear in nature. Nonlinear equations occur in modeling problems, such as minimizing costs in industries and minimizing risks in businesses.
Mathew O. Aibinu +2 more
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Numerical homogenization for nonlinear strongly monotone problems [PDF]
IMA Journal of Numerical Analysis, 2021 AbstractIn this work we introduce and analyse a new multiscale method for strongly nonlinear monotone equations in the spirit of the localized orthogonal decomposition. A problem-adapted multiscale space is constructed by solving linear local fine-scale problems, which is then used in a generalized finite element method. The linearity of the fine-scale
Barbara Verfürth
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Iterative Galerkin discretizations for strongly monotone problems [PDF]
Journal of Computational and Applied Mathematics, 2015 In this article we investigate a finite element formulation of strongly monotone quasi-linear elliptic PDEs in the context of fixed-point iterations. As opposed to Newton's method, which requires information from the previous iteration in order to linearise the iteration matrix (and thereby to recompute it) in each step, the alternative method used in ...
Scott Congreve, T. Wihler
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A DPG Framework for Strongly Monotone Operators [PDF]
SIAM Journal on Numerical Analysis, 2018 The paper is concerned with the analysis of the discontinuous Petrov-Galerkin method (DPG) for the numerical solution of strongly monotone nonlinear problems. First, the authors study the operator of the form \[ T_{\kappa} = \begin{pmatrix} C & B^* \\ B & - \frac{1}{\kappa} R \end{pmatrix}, \] where \(\kappa > 0\), \(B\) is a bounded linear operator, \(
Pierre Cantin, N. Heuer
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