Results 201 to 210 of about 22,103,434 (252)

Primal Subgradient Methods with Predefined Step Sizes. [PDF]

J Optim Theory Appl
Nesterov Y.
europepmc   +1 more source

Minimum Energy Conical Intersection Optimization Using DFT/MRCI(2). [PDF]

J Chem Theory Comput
Wang TY, Neville SP, Schuurman MS.
europepmc   +1 more source

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lements of Nonsmooth Analysis

, 2017
M. Sofonea, S. Migórski
semanticscholar   +2 more sources

Generalized Nonconvex Nonsmooth Low-Rank Matrix Recovery Framework With Feasible Algorithm Designs and Convergence Analysis

IEEE Transactions on Neural Networks and Learning Systems, 2022
Decomposing data matrix into low-rank plus additive matrices is a commonly used strategy in pattern recognition and machine learning. This article mainly studies the alternating direction method of multiplier (ADMM) with two dual variables, which is used
Hengmin Zhang, Feng Qian, Peng Shi, W. Du, Yang Tang, J. Qian, Chen Gong, Jian Yang   +7 more
semanticscholar   +1 more source

Nonsmooth analysis of eigenvalues [PDF]

Mathematical Programming, 1999
Subdifferentials (limiting Fréchet, Clarke) of the composition \(f\circ \lambda \) of extended real valued permutation invariant functions \(f\) and the eigenvalue vector function \(\lambda \) of a symmetric matrix \(X\) are calculated using the transformation to principles axes.
openaire   +2 more sources

Analysis and Optimization of Nonsmooth Arches

SIAM Journal on Control and Optimization, 2002
The Kirchoff-Love model for a smooth clamped arch is considered first. A new treatment for that classical model is developed. A variational formulation, based on optimal control theory, is introduced and, using duality-type arguments, the deformation of the arches are explicitly expressed by integral formulas.
Sprekels, Jürgen, Ignat, Anca, Tiba, Dan   +2 more
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Nonsmooth analysis of eigenvalues: A summary [PDF]

Rendiconti del Seminario Matematico e Fisico di Milano, 1996
Subdifferentials (limiting Fréchet, Clarke) of the composition \(f\circ \lambda \) of extended real valued permutation invariant functions \(f\) and the eigenvalue vector function \(\lambda \) of a symmetric matrix \(X\) are calculated using the transformation to principles axes. If \(U\) is an orthogonal matrix, such that \(\text{Diag} ( \lambda ( X))
openaire   +1 more source

Impact of mixed boundary conditions and nonsmooth data on layer‐originated nonpremixed combustion problems: Higher‐order convergence analysis

Studies in applied mathematics (Cambridge)
This work explores the theoretical and computational impacts of mixed‐type flux conditions and nonsmooth data on boundary/interior layer‐originated singularly perturbed semilinear reaction–diffusion problems.
Shridhar Kumar, Ishwariya R, P. Das
semanticscholar   +1 more source

Nonsmooth Nonconvex Stochastic Heavy Ball

Journal of Optimization Theory and Applications, 2023
Motivated by the conspicuous use of momentum-based algorithms in deep learning, we study a nonsmooth nonconvex stochastic heavy ball method and show its convergence. Our approach builds upon semialgebraic (definable) assumptions commonly met in practical
Tam Le
semanticscholar   +1 more source