Results 191 to 200 of about 49,792,933 (254)

Nonsmooth analysis of eigenvalues

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.
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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, I. R., P. Das
semanticscholar   +1 more source

Lidskii's Theorem via Nonsmooth Analysis

SIAM Journal on Matrix Analysis and Applications, 2000
Lidskii's theorem on eigenvalue perturbation is proved via a nonsmooth mean value theorem.
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Nonsmooth Analysis in Control Theory: A Survey

European Journal of Control, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Elements of Nonsmooth Analysis

2003
In this Chapter we recall important definitions and results from the theory of generalized gradient for locally Lipschitz functionals due to Clarke [8], different nonsmooth versions of Palais-Smale conditions and basic elements of nonsmooth calculus developed by Degiovanni [9], [10].
D. Motreanu, V. Rădulescu
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Sensitivity analysis for nonsmooth generalized equations

Mathematical Programming, 1992
In this paper a generalized parametric equation (1) \(0\in f(p,x)+N(x)\), where \(f\) is a given function from \(\Omega\times \mathbb{R}^ n\) to \(\mathbb{R}^ m\), \(N\) a multifunction from \(\mathbb{R}^ n\) to \(\mathbb{R}^ m\), and \(p\) an element of an open subset \(\Omega\) of a normed linear space, is considered.
Alan J. King, R. Tyrrell Rockafellar
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Variational and Monotonicity Methods in Nonsmooth Analysis

Frontiers in Mathematics, 2021
N. Costea, Alexandru Kristály, Csaba Varga   +2 more
semanticscholar   +1 more source

Convergence and rate analysis of a proximal linearized ADMM for nonconvex nonsmooth optimization

Journal of Global Optimization, 2022
Maryam Yashtini
semanticscholar   +1 more source

Adjoint Coexhausters in Nonsmooth Analysis and Extremality Conditions

Journal of Optimization Theory and Applications, 2012
The article of M. E. Abbasov and V. F. Demyanov is a valuable contribution to the field of nondifferentiable or nonsmooth calculus and, especially, optimization. This investigation takes place in a wide analytic setting, in the tradition of the quasidifferential which it extends and employs.
Majid E. Abbasov, Vladimir F. Demyanov
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Variational Analysis Perspective on Linear Convergence of Some First Order Methods for Nonsmooth Convex Optimization Problems

Set-Valued and Variational Analysis, 2021
Jane J. Ye, Xiao-Ming Yuan, Shang-Zhi Zeng, Jin Zhang   +3 more
semanticscholar   +1 more source