Browsing Matematik Bölümü by Publisher "Elsevier Science Inc"
Now showing items 1-8 of 8
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Canonical bases for real representations of Clifford algebras
(Elsevier Science Inc, 2006)The well-known classification of the Clifford algebras Cl(r, s) leads to canonical forms of complex and real representations which are essentially unique by virtue of the Wedderburn theorem. For s >= 1 representations of ... -
Compactness of the set of trajectories of the controllable system described by an affine integral equation
(Elsevier Science Inc, 2013)In this paper the control system with integral constraint on the controls is studied. It is assumed that the behavior of the system is described by an affine Volterra integral equation which is nonlinear with respect to ... -
Maximal linear subspaces of strong self-dual 2-forms and the Bonan 4-form
(Elsevier Science Inc, 2011)The notion of self-duality of 2-forms in 4-dimensions plays an eminent role in many areas of mathematics and physics, but although the 2-forms have a genuine meaning related to curvature and gauge-field-strength in higher ... -
The meshless kernel-based method of lines for solving the equal width equation
(Elsevier Science Inc, 2013)The Equal Width equation governs nonlinear wave phenomena like waves in shallow water. Here, it is solved numerically by the Method of Lines using a somewhat unusual setup. There is no linearization of the nonlinear terms, ... -
Numerical solutions of KdV equation using radial basis functions
(Elsevier Science Inc, 2008)Numerical solution of the Korteweg-de Vries equation is obtained by using the meshless method based on the collocation with radial basis functions. Five standard radial basis functions are used in the method of the ... -
On nonsingularity of a polytope of matrices
(Elsevier Science Inc, 2008)The nonsingularity problem of a polytope of real matrices and its relation to the (robust) stability problem is considered. This problem is investigated by using the Bernstein expansion of the determinant function. Here ... -
On the stability of a convex set of matrices
(Elsevier Science Inc, 2006)In this paper we give an alternative proof of the constant inertia theorem for convex compact sets of complex matrices. It is shown that the companion matrix whose non-trivial column is negative satisfies the directional ... -
Spaces of skew-symmetric matrices satisfying A(3) = lambda A
(Elsevier Science Inc, 2013)We calculate the maximum dimension of a space of m x m real skew-symmetric matrices of corank 1 satisfying A(3) = lambda(A)A for some real lambda(A) > 0