Weak Subdifferential in Nonsmooth Analysis and Optimization [PDF]
Journal of Applied Mathematics, 2011 Some properties of the weak subdifferential are considered in this paper. By using the definition and properties of the weak subdifferential which are described in the papers (Azimov and Gasimov, 1999; Kasimbeyli and Mammadov, 2009; Kasimbeyli and ...
Şahlar F. Meherrem, Refet Polat
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Decentralized Primal-Dual Proximal Operator Algorithm for Constrained Nonsmooth Composite Optimization Problems over Networks [PDF]
Entropy, 2022 In this paper, we focus on the nonsmooth composite optimization problems over networks, which consist of a smooth term and a nonsmooth term. Both equality constraints and box constraints for the decision variables are also considered.
Liping Feng +5 more
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Nonsmooth analysis and optimization on partially ordered vector spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1992 Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector
Thomas W. Reiland
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Smoothed quantile residual life regression analysis with application to the Korea HIV/AIDS cohort study [PDF]
BMC Medical Research MethodologyBackground The residual life of a patient with human immunodeficiency virus (HIV) is of major interest to patients and their physicians. While existing analyses of HIV patient survival focus mostly on data collected at baseline, residual life analysis ...
Soo Min Kim +3 more
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Nonsmooth analysis and subgradient methods for averaging in dynamic time warping spaces [PDF]
Pattern Recognition, 2017 David Schultz, Brijnesh J. Jain
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Maximal $L^p$ analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra [PDF]
Mathematics of Computation, 2015 The paper is concerned with Galerkin finite element solutions for parabolic equations in a convex polygon or polyhehron with a diffusion coefficient in $W^{1,N+\epsilon}$ for some $\epsilon>0$, where $N$ denotes the dimension of the domain.
Buyang Li, Weiwei Sun
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Nonsmooth modal analysis of an elastic bar subject to a unilateral contact constraint
Nonlinear dynamics, 2018 This contribution proposes a numerical procedure capable of performing nonsmooth modal analysis (mode shapes and corresponding frequencies) of the autonomous wave equation defined on a finite one-dimensional domain with one end subject to a Dirichlet ...
Carlos Yoong +2 more
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A Unified Convergence Analysis for Some Two-Point Type Methods for Nonsmooth Operators [PDF]
Mathematics, 2019 The aim of this paper is the approximation of nonlinear equations using iterative methods. We present a unified convergence analysis for some two-point type methods.
Sergio Amat +4 more
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Analysis of the L1 scheme for fractional wave equations with nonsmooth data [PDF]
Computers and Mathematics with Applications, 2019 Binjie Li, Tao Wang, Xiaoping Xie
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Nonsmooth analysis: differential calculus of nondifferentiable mappings [PDF]
Transactions of the American Mathematical Society, 1981 A new approach to local analysis of nonsmooth mappings from one Banach space into another is suggested. The approach is essentially based on the use of set-valued mappings of a special kind, called fans, for local approximation. Convex sets of linear operators provide an example of fans.
A. D. Ioffe
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