Results 1 to 10 of about 3,046,845 (266)
SECOND ORDER OPTIMALITY CONDITIONS
Nonlinear programming problems are studied. Necessary second order optimality conditions are proved under minimal assumptions about constraints.
A. E. Leschov, L. I. Minchenko
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High order second derivative diagonally implicit multistage integration methods for ODEs
Construction of second derivative diagonally implicit multistage integration methods (SDIMSIMs) as a subclass of second derivative general linear methods with Runge–Kutta stability property requires to generate the corresponding conditions depending of ...
Mohammad Sharifi +3 more
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Construction of Two-Derivative Runge–Kutta Methods of Order Six
Two-Derivative Runge–Kutta methods have been proposed by Chan and Tsai in 2010 and order conditions up to the fifth order are given. In this work, for the first time, we derive order conditions for order six.
Zacharoula Kalogiratou +1 more
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Local error structures and order conditions in terms of Lie elements for exponential splitting schemes [PDF]
We discuss the structure of the local error of exponential operator splitting methods. In particular, it is shown that the leading error term is a Lie element, i.e., a linear combination of higher-degree commutators of the given operators.
Winfried Auzinger, Wolfgang Herfort
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Explicit Symplectic Runge–Kutta–Nyström Methods Based on Roots of Shifted Legendre Polynomial
To date, all explicit symplectic Runge–Kutta–Nyström methods of order five or above are derived by numerical solutions of order condition equations and symplectic condition. In this paper, we derive 124 sets of seven-stage fifth-order explicit symplectic
Jun Zhang +2 more
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Conditional expectation without order [PDF]
The authors show that an arbitrary contractive projection on a \(J^*\)- algebra has the properties of a conditional expectation. This is then used to solve the bicontractive projection problem for \(J^*\)-algebra. A \(J^*\)-algebra is a norm closed subspace of \({\mathcal L}(H,K)\) which is stable under the triple product \(\{abc\}=1/2(ab^*c+cb^*a ...
Friedman, Yaakov, Russo, Bernard
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Withdrawal of valproic acid during pregnancy in women with epilepsy
Objective: to analyze the course of epilepsy in women after withdrawal of valproic acid (VA) during pregnancy. Material and methods. The study was conducted in the Center of paroxysmal conditions of Vitebsk Regional Clinical Diagnostic Center.
H. I. Navumava +5 more
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Order Conditions for Languages
We define a condition on the resolution of bispecials in a language. A language satisfies this order condition if and only if it is the natural coding of a generalized interval exchange transformation, while the order condition plus some additional ones characterize the codings of various more classical interval exchange transformations. Also, a finite
Ferenczi, Sébastien +2 more
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Reversing Conditional Orderings [PDF]
We analyze some specific aspects concerning conditional orderings and relations among them. To this purpose we define a suitable concept of reversed conditional ordering and prove some related results. In particular we aim to compare the univariate stochastic orderings ≤ st, ≤ hr, and ≤ lr in terms of differences among different notions of conditional ...
FOSCHI, RACHELE, Spizzichino, Fabio
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First-Order Conditions for Set-Constrained Optimization
A well-known first-order necessary condition for a point to be a local minimizer of a given function is the non-negativity of the dot product of the gradient and a vector in a feasible direction.
Steven M. Rovnyak +2 more
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