Results 81 to 90 of about 20,565,365 (293)
Saddle Points of Partial Augmented Lagrangian Functions
In this paper, we study a class of optimization problems with separable constraint structures, characterized by a combination of convex and nonconvex constraints.
Longfei Huang +3 more
doaj +1 more source
We prove second-order optimality conditions for an optimal control problem of tracking-type for a time-discrete regularized phase-field fracture or damage propagation model.
Ira Neitzel (12073644) +1 more
core +1 more source
Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei +3 more
wiley +1 more source
A survey on C 1,1 fuctions: theory, numerical methods and applications [PDF]
In this paper we survey some notions of generalized derivative for C 1,1 functions. Furthermore some optimality conditions and numerical methods for nonlinear minimization problems involving C1,1 data are studied.
Rocca Matteo, La Torre Davide
core
Single‐molecule DNA flow‐stretch assays for high‐throughput DNA–protein interaction studies
We describe an optimised single‐molecule DNA flow‐stretch assay that visualises DNA–protein interactions in real time. Linear DNA fragments are tethered to a surface and stretched by buffer flow for fluorescence imaging. Using λ and φX174 DNA, this protocol enhances reproducibility and accessibility, providing a versatile approach for studying diverse ...
Ayush Kumar Ganguli +8 more
wiley +1 more source
On constrained set-valued optimization [PDF]
The set-valued optimization problem minC F(x), G(x)\(-K) 6= ; is considered, where F : Rn Rm and G : Rn Rp are set-valued functions, and C Rm and K Rp are closed convex cones.
Rocca Matteo, Ginchev Ivan
core
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source
On strong and weak second-order necessary optimality conditions for nonlinear programming [PDF]
Second-order necessary optimality conditions play an important role in optimization theory. This is explained by the fact that most numerical optimization algorithms reduce to finding stationary points satisfying first- order ...
Minchenko, L. L., Leschov, A. E.
core +1 more source
Boundary value problems for systems of second-order functional differential equations
Systems of second-order functional differential equations $(x'(t)+L(x)(t))'=F(x)(t)$ together with nonlinear functional boundary conditions are considered. Here $L:C^1([0,T];\mathbb{R}^n) \rightarrow C^0([0,T];\mathbb{R}^n)$ and $F:C^1([0,T];\mathbb{R}^n)
S. Stanek
doaj +1 more source
The dFoCC pipeline starts with observed DED and resting‐state coordinates, which are then used to generate a library of triggered states. Correlation analysis of the calculated DED features of each candidate vs observed DED permits quantitative evaluation of candidate structural quality.
Meng Iao Fong +3 more
wiley +1 more source

