Results 1  10
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474,970
On Cones of Nonnegative Quadratic Functions
, 2001
"... We derive LMIcharacterizations and dual decomposition algorithms for certain matrix cones which are generated by a given set using generalized copositivity. These matrix cones are in fact cones of nonconvex quadratic functions that are nonnegative on a certain domain. As a domain, we consider for ..."
Abstract

Cited by 72 (15 self)
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We derive LMIcharacterizations and dual decomposition algorithms for certain matrix cones which are generated by a given set using generalized copositivity. These matrix cones are in fact cones of nonconvex quadratic functions that are nonnegative on a certain domain. As a domain, we consider
On the Estimation of Quadratic Functionals
"... We discuss the difficulties of estimating quadratic functionals based on observations Y (t) from the white noise model Y (t) = Jf (u)du + cr W (t), t E [0,1], o where W (t) is a standard Wiener process on [0, 1]. The optimal rates of convergence (as cr> 0) for estimating quadratic functionals u ..."
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Cited by 41 (10 self)
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We discuss the difficulties of estimating quadratic functionals based on observations Y (t) from the white noise model Y (t) = Jf (u)du + cr W (t), t E [0,1], o where W (t) is a standard Wiener process on [0, 1]. The optimal rates of convergence (as cr> 0) for estimating quadratic functionals
On the Stability of Quadratic Functional Equation
"... In this paper the stability of quadratic functional equation, f(xy)+f(xy1)=2f(x)+2f(y) on class of groups is obtained and also prove that quadratic functional equation may not be stable in any abelian group. ..."
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In this paper the stability of quadratic functional equation, f(xy)+f(xy1)=2f(x)+2f(y) on class of groups is obtained and also prove that quadratic functional equation may not be stable in any abelian group.
QUADRATIC FUNCTIONS ON TORSION GROUPS
, 2003
"... A quadratic function q on an Abelian group G is a map, with values in an Abelian group, such that the map b: (x, y) ↦ → q(x + y) − q(x) − q(y) is Zbilinear. Such a map q satisfies q(0) = 0. If, in addition, q satisfies the relation q(nx) = n 2 q(x) for all n ∈ Z and x ∈ G, then q is homogeneous ..."
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Cited by 3 (2 self)
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A quadratic function q on an Abelian group G is a map, with values in an Abelian group, such that the map b: (x, y) ↦ → q(x + y) − q(x) − q(y) is Zbilinear. Such a map q satisfies q(0) = 0. If, in addition, q satisfies the relation q(nx) = n 2 q(x) for all n ∈ Z and x ∈ G, then q
On Cones of Nonnegative Quadratic Functions
, 2001
"... We derive LMIcharacterizations and dual decomposition algorithms for certain matrix cones which are generated by a given set using generalized copositivity. These matrix cones are in fact cones of nonconvex quadratic functions that are nonnegative on a certain domain. As a domain, we consider for ..."
Abstract
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We derive LMIcharacterizations and dual decomposition algorithms for certain matrix cones which are generated by a given set using generalized copositivity. These matrix cones are in fact cones of nonconvex quadratic functions that are nonnegative on a certain domain. As a domain, we consider
FUZZY ALMOST QUADRATIC FUNCTIONS
, 710
"... Abstract. We approximate a fuzzy almost quadratic function by a quadratic function in a fuzzy sense. More precisely, we establish a fuzzy Hyers–Ulam–Rassias stability of the quadratic functional equation f(x + y) + f(x − y) = 2f(x) + 2f(y). Our result can be regarded as a generalization of the stab ..."
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Cited by 4 (0 self)
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Abstract. We approximate a fuzzy almost quadratic function by a quadratic function in a fuzzy sense. More precisely, we establish a fuzzy Hyers–Ulam–Rassias stability of the quadratic functional equation f(x + y) + f(x − y) = 2f(x) + 2f(y). Our result can be regarded as a generalization
Minimizing quadratic functions with separable
, 2006
"... This article deals with minimizing quadratic functions with a special form of quadratic constraints that arise in 3D contact problems of linear elasticity with isotropic friction [Haslinger, J., Kučera, R. and Dostál, Z., 2004, An algorithm for the numerical realization of 3D contact problems with ..."
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This article deals with minimizing quadratic functions with a special form of quadratic constraints that arise in 3D contact problems of linear elasticity with isotropic friction [Haslinger, J., Kučera, R. and Dostál, Z., 2004, An algorithm for the numerical realization of 3D contact problems
Diagonalization Approach to Discrete Quadratic Functionals
 ARCHIVES OF INEQUALITIES AND APPLICATIONS
, 2003
"... A necessary and sufficient condition for the nonnegativity of the discrete quadratic functional corresponding to a symplectic difference system is proved using the diagonalization method. ..."
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Cited by 1 (0 self)
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A necessary and sufficient condition for the nonnegativity of the discrete quadratic functional corresponding to a symplectic difference system is proved using the diagonalization method.
ON THE STABILITY OF SOME QUADRATIC FUNCTIONAL EQUATION
"... Abstract. In this paper we establish the general solution of the functional equation which is closely associated with the quadratic functional equation and we investigate the HyersUlamRassias stability of this equation in Banach spaces. 1. Introduction and ..."
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Cited by 1 (0 self)
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Abstract. In this paper we establish the general solution of the functional equation which is closely associated with the quadratic functional equation and we investigate the HyersUlamRassias stability of this equation in Banach spaces. 1. Introduction and
Results 1  10
of
474,970