A review of population-based metaheuristics for large-scale black-box global optimization—Part I
MN Omidvar, X Li, X Yao - IEEE Transactions on Evolutionary …, 2021 - ieeexplore.ieee.org
Scalability of optimization algorithms is a major challenge in coping with the ever-growing
size of optimization problems in a wide range of application areas from high-dimensional …
size of optimization problems in a wide range of application areas from high-dimensional …
A survey of relaxations and approximations of the power flow equations
DK Molzahn, IA Hiskens - Foundations and Trends® in …, 2019 - nowpublishers.com
The power flow equations relate the power injections and voltages in an electric power
system and are therefore key to many power system optimization and control problems …
system and are therefore key to many power system optimization and control problems …
[图书][B] Nonlinear model predictive control
In this chapter, we introduce the nonlinear model predictive control algorithm in a rigorous
way. We start by defining a basic NMPC algorithm for constant reference and continue by …
way. We start by defining a basic NMPC algorithm for constant reference and continue by …
A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach
In this paper, we consider phase-field based fracture propagation in elastic media. The main
purpose is the development of a robust and efficient numerical scheme. To enforce crack …
purpose is the development of a robust and efficient numerical scheme. To enforce crack …
Rate-independent systems
A Mielke, T Roubíček - Applied Mathematical Sciences, 2015 - Springer
Our work on rate-independent systems was stimulated by our search for evolutionary
material models for shape-memory alloys that are flexible enough to encompass nonlinear …
material models for shape-memory alloys that are flexible enough to encompass nonlinear …
[图书][B] Numerical optimization: theoretical and practical aspects
JF Bonnans, JC Gilbert, C Lemaréchal… - 2006 - books.google.com
Just as in its 1st edition, this book starts with illustrations of the ubiquitous character of
optimization, and describes numerical algorithms in a tutorial way. It covers fundamental …
optimization, and describes numerical algorithms in a tutorial way. It covers fundamental …
Broyden's quasi-Newton methods for a nonlinear system of equations and unconstrained optimization: a review and open problems
M Al-Baali, E Spedicato, F Maggioni - Optimization Methods and …, 2014 - Taylor & Francis
Quasi-Newton methods were introduced by Charles Broyden [A class of methods for solving
nonlinear simultaneous equations, Math Comp. 19 (1965), pp. 577–593] as an alternative to …
nonlinear simultaneous equations, Math Comp. 19 (1965), pp. 577–593] as an alternative to …
[图书][B] Scientific computing with MATLAB and Octave
A Quarteroni, F Saleri, P Gervasio - 2006 - Springer
This textbook is an introduction to Scientific Computing. We will illustrate several numerical
methods for the computer solution of certain classes of mathematical problems that cannot …
methods for the computer solution of certain classes of mathematical problems that cannot …
Interior-point methods for optimization
AS Nemirovski, MJ Todd - Acta Numerica, 2008 - cambridge.org
This article describes the current state of the art of interior-point methods (IPMs) for convex,
conic, and general nonlinear optimization. We discuss the theory, outline the algorithms, and …
conic, and general nonlinear optimization. We discuss the theory, outline the algorithms, and …
Design of truss-like cellular structures using relative density mapping method
Truss-like cellular structures have great potential to be applied in light-weight design
applications. However, determining the appropriate designs for these truss-like cellular …
applications. However, determining the appropriate designs for these truss-like cellular …