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Globalizing Stabilized Sequential Quadratic Programming Method by Smooth Primal-Dual Exact Penalty FunctionAn iteration of the stabilized sequential quadratic programming method consists in solving a

The Problem of Projecting the Origin of Euclidean Space onto the Convex Polyhedron of the existing now different formulations for the problem of projection of the origin of the Euclidean space onto

The higher order nonlinear Schrödinger equation with quadratic nonlinearity on the real axisThe initial value problem is considered for a higher order nonlinear Schrödinger equation

Necessary optimality conditions for optimal control problems with intermediate constraintsIn this paper we study an optimal control problem with intermediate constraints. Our purpose

A refinement of Heath-Brown's theorem on quadratic formsIn his paper from 1996 on quadratic forms Heath-Brown developed a version of the circle

Nonnegativity of quadratic forms on intersections of quadrics and quadratic mapsThe question of the nonnegativity of quadratic forms on intersections of quadratic cones

Symplectic geometry of a linear transformation with a quadratic invariantA linear transformation with an invariant being a nondegenerate quadratic form is symplectic

Optimality conditions in abnormal extremal problemsIn this paper we study the minimization problem with constraints. The first- and second

Investigation of the sets of real solutions of non-linear equationsWe study the problem of constructing a smooth curve lying on the level set of a smooth map

Метод корректировки для решения возмущенныхз параметрических линейно-квадратичных задач оптимального управления в окрестности нерегулярного значения параметра of one-parametric linear-quadratic optimal control problems with singular arcs is considered. A method

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