Results 61 to 70 of about 1,433 (143)

On the Convergence of the Self-Consistent Field Iteration in Kohn-Sham Density Functional Theory

, 2013
It is well known that the self-consistent field (SCF) iteration for solving the Kohn-Sham (KS) equation often fails to converge, yet there is no clear explanation.
Liu, Xin, Wang, Xiao, Wen, Zaiwen, Yuan, Yaxiang   +3 more
core   +1 more source

A New Filled Function for Global Optimization

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
The filled function method has recently become very popular in optimization theory, as it is an e cient and e ective method for finding the global minimizer of multimodal functions.
Şahiner Ahmet, Ermiş Temel, Awan Muhammad Wasim   +2 more
doaj   +1 more source

Automatic boomerang attacks search on Rijndael

Journal of Mathematical Cryptology
Boomerang attacks were introduced in 1999 by Wagner (The boomerang attack. In: Knudsen LR, editor. FSE’99. vol. 1636 of LNCS. Heidelberg: Springer; 1999. p.
Rouquette Loïc, Minier Marine, Solnon Christine   +2 more
doaj   +1 more source

Learning to steer nonlinear interior-point methods

EURO Journal on Computational Optimization, 2019
Interior-point or barrier methods handle nonlinear programs by sequentially solving barrier subprograms with a decreasing sequence of barrier parameters.
Renke Kuhlmann
doaj   +1 more source

An interior-point method for nonlinear optimization problems with locatable and separable nonsmoothness

EURO Journal on Computational Optimization, 2015
Many real-world optimization models comprise nonconvex and nonsmooth functions leading to very hard classes of optimization models. In this article, a new interior-point method for the special, but practically relevant class of optimization problems with
Martin Schmidt
doaj   +1 more source

FPTAS for optimizing polynomials over the mixed-integer points of polytopes in fixed dimension

, 2006
We show the existence of a fully polynomial-time approximation scheme (FPTAS) for the problem of maximizing a non-negative polynomial over mixed-integer sets in convex polytopes, when the number of variables is fixed.
A.I. Barvinok, D.A. Cox, E. de Klerk, H.W. Lenstra Jr., J. Renegar, J. Renegar, J. Renegar, J. Renegar, J.A. De Loera, J.A. De Loera, J.A. De Loera, J.P. Jones, Jesús A. De Loera, M.R. Garey, Matthias Köppe, Raymond Hemmecke, Robert Weismantel, Y.V. Matiyasevich   +17 more
core   +2 more sources

Tangent cones, starshape and convexity

, 1978
International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 4, Page 459-477, 1978.
J. M. Borwein
wiley   +1 more source

Centrosymmetric, Skew Centrosymmetric and Centrosymmetric Cauchy Tensors [PDF]

, 2014
Recently, Zhao and Yang introduced centrosymmetric tensors. In this paper, we further introduce skew centrosymmetric tensors and centrosymmetric Cauchy tensors, and discuss properties of these three classes of structured tensors.
Chen, Haibin, Chen, Zhen, Qi, Liqun
core  

Modification of Adomian decomposition technique in multiplicative calculus and application for nonlinear equations

Partial Differential Equations in Applied Mathematics
Multiplicative calculus is a mathematical system that offers an alternative to traditional calculus. Instead of using addition and subtraction to measure change, as in traditional calculus, it uses multiplication and division.
Farooq Ahmed Shah, Muhammad Waseem, Alexey Mikhaylov, Gabor Pinter   +3 more
doaj   +1 more source

A penalty barrier framework for nonconvex constrained optimization [PDF]

Journal of Nonsmooth Analysis and Optimization
We consider minimization problems with structured objective function and smooth constraints, and present a flexible framework that combines the beneficial regularization effects of (exact) penalty and interior-point methods.
Alberto De Marchi, Andreas Themelis
doaj   +1 more source