Results 291 to 300 of about 195,148 (324)
Some of the next articles are maybe not open access.
Second-Order Sufficient Conditions in Nonsmooth Optimization
Mathematics of Operations Research, 1988Second-order conditions are given which are sufficient to guarantee that a given point be a local solution to certain types of finite-dimensional nonsmooth nonlinear programming problems. Both unconstrained and constrained problems are considered.
openaire +2 more sources
Second-Order Optimality Condition for ΔH-Matrices
BIT Numerical Mathematics, 2003A \(\Delta H\) matrix \(A\) is a square matrix that can be written as \(A=D+DH-HD\), for certain Hermitian \(H\) and diagonal \(D\). \textit{A. Ruhe} [BIT 27, 585--598 (1987; Zbl 0636.15017)] gave a necessary and sufficient condition to solve the problem of finding a normal matrix \(N\) realizing the Frobenius distance from \(A\) to the variety of ...
openaire +2 more sources
Second order sufficient optimality conditions in vector optimization
Journal of Global Optimization, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E., Ning, Song, Wen, Zhang, Yu
openaire +2 more sources
On sufficient second order optimality conditions in multiobjective optimization
Mathematical Methods of Operations Research, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Recent Developments in Second Order Necessary Optimality Conditions
1998In this paper a new second order necessary optimality condition, stated in the so-called image space, is established; such a condition allows to obtain, as particular cases, some recent results which are presented in order to stimulate and improve the study in second order optimality conditions.
CAMBINI, ALBERTO +2 more
openaire +2 more sources
Second-Order Conditions for Optimization Problems with Constraints
SIAM Journal on Control and Optimization, 1998The author obtains necessary or sufficient second-order optimality conditions for constrained optimization problems. The main novelty is to work in a projective space (space of directions), which allows to improve the known results.
openaire +2 more sources
On the Classical Necessary Second-Order Optimality Conditions
Journal of Optimization Theory and Applications, 2004In this paper a nonconvex optimization problem in \({\mathbb R}^n\) with equality and inequality constraints is considered. Assuming that the Mangasarian-Fromovitz constraint qualifications hold at a local optimal solution, the aim is to provide sufficient conditions that imply the necessary second-order conditions CN2, with the same Lagrange ...
openaire +1 more source
Second-Order Necessary Conditions in Constrained Semismooth Optimization
SIAM Journal on Control and Optimization, 1987The author considers a finite-dimensional nonlinear programming problem of standard form, i.e. having a finite number of equality and inequality constraints. All the functions appearing in the problem are assumed to be semismooth in the sense of \textit{R. Mifflin} [ibid. 15, 959-972 (1977; Zbl 0376.90081)].
openaire +1 more source
On second-order optimality conditions in optimal control
2016 International Conference on Information and Digital Technologies (IDT), 2016We observe some results obtained by the author on necessary and sufficient second-order conditions for the strong, bounded strong, Pontryagin's and weak local minimum in optimal control problems with control system, given by ordinary differential equations, considered on a fixed time interval, subject to control constraints and finite number of end ...
openaire +1 more source
Second order optimality conditions with applications
2007The aim of this article is to present the algorithm to compute the first conjugate point along a smooth extremal curve. Under generic assump- tions, the tra jectory ceases to be optimal at such a point. An implementation of this algorithm, called cotcot, is available online and based on recent devel- opments in geometric optimal control.
Bonnard, Bernard +2 more
openaire +1 more source