Advanced Interior Optimization Methods with Electronics Applications
نویسندگان
چکیده
منابع مشابه
Innnite Dimensional Quadratic Optimization: Interior-point Methods and Control Applications
An innnite-dimensional convex optimization problem with the linear-quadratic cost function and linear-quadratic constraints is considered. We generalize the interior-point techniques of Nesterov-Nemirovsky to this innnite-dimensional situation. The obtained complexity estimates are similar to nite-dimensional ones. We apply our results to the linear-quadratic control problem with quadratic cons...
متن کاملInterior-point methods for optimization
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 comment on the applicability of this class of methods, which have revolutionized the field over the last twenty years.
متن کاملInterior Methods for Nonlinear Optimization
Interior methods are an omnipresent, conspicuous feature of the constrained optimization landscape today, but it was not always so. Primarily in the form of barrier methods, interior-point techniques were popular during the 1960s for solving nonlinearly constrained problems. However, their use for linear programming was not even contemplated because of the total dominance of the simplex method....
متن کاملInterior Point Methods in Semidefinite Programming with Applications to Combinatorial Optimization
We study the semideenite programming problem (SDP), i.e the optimization problem of a linear function of a symmetric matrix subject to linear equality constraints and the additional condition that the matrix be positive semideenite. First we review the classical cone duality as is specialized to SDP. Next we present an interior point algorithm which converges to the optimal solution in polynomi...
متن کاملAdvanced Methods of Stochastic and Optimization in Industrial Applications
In real case applications within the virtual prototyping process, it is not always possible to reduce the complexity of the physical models and to obtain numerical models which can be solved quickly. Usually, every single numerical simulation takes hours or even days. Although the progresses in numerical methods and high performance computing, in such cases, it is not possible to explore variou...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Scientific Research in Science, Engineering and Technology
سال: 2021
ISSN: 2394-4099,2395-1990
DOI: 10.32628/ijsrset207518