Second-order subdifferentials of C^1,1 functions and optimality conditions
[Georgiev Pando Gr.; Георгиев Пандо Гр.]; [Zlateva Nadia P.; Златева Надя П.]We present second-order subdifferentials of Clarke’s type of C^1,1 functions, defined in separable Banach spaces with separable duals, i.e.
Zlateva, Nadia P., Georgiev, Pando Gr.
core
The Fréchet and limiting subdifferentials of integral functionals on the spaces L1(Ω,E)
A new approach to computing the Fréchet subdifferential and the limiting subdifferential of integral functionals is proposed. Thanks to this way, we obtain formulae for computing the Fréchet and limiting subdifferentials of the integral functional F(u ...
Chieu, Nguyen Huy
core +1 more source
Variable Smoothing for Weakly Convex Composite Functions. [PDF]
Böhm A, Wright SJ.
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The Clarke and Michel-Penot subdifferentials of the eigenvalues of a symmetric matrix
We calculate the Clarke and Michel-Penot subdifferentials of the function which maps a symmetric matrix to its m'th largest eigenvalue. We show these two subdifferentials coincide, and are identical for all choices of index m corresponding to equal ...
J.-B. Hiriart-Urruty, A. S. Lewis
core
Stability of slopes and subdifferentials with respect to Wijsman convergence
International audienceWe show that the slope introduced by DeGiorgi-Marino-Tosques is stable with respect to the variational convergence introduced by Wijsman.
Lassonde, Marc
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Momentum-Net: Fast and Convergent Iterative Neural Network for Inverse Problems. [PDF]
Chun IY, Huang Z, Lim H, Fessler JA.
europepmc +1 more source
An Adaptive Multiparameter Penalty Selection Method for Multiconstraint and Multiblock ADMM. [PDF]
Lozenski L, McCann MT, Wohlberg B.
europepmc +1 more source
The generalized viscosity explicit rules for a family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space. [PDF]
Khuangsatung W, Sunthrayuth P.
europepmc +1 more source
Automated tight Lyapunov analysis for first-order methods. [PDF]
Upadhyaya M +3 more
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