Results 11 to 20 of about 4,991,356 (250)
Strictly Positive Definite Functions [PDF]
Journal of Approximation Theory, 1996 A complex-valued continuous function defined on \(\mathbb{R}\) is said to be strictly positive definite on \(\mathbb{R}\) if the \(n\) by \(n\) matrix \((f(x_i- x_j))\) is positive definite for all choices of pairwise distinct points \(x_1,x_2,\dots,x_n\in\mathbb{R}\), and all \(n\geq 1\).
Chang, Kuei-Fang
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Semigroups with Positive Definite Structure [PDF]
Proceedings of the American Mathematical Society, 1973 Let G G be a semigroup with the identity 1 and an involution
Parfeny P. Saworotnow
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On unbounded positive definite functions [PDF]
, 2018 It is well known that positive definite functions are bounded, taking their maximum absolute value at 0. Nevertheless, there are unbounded functions, arising e.g. in potential theory or the study of (continuous) extremal measures, which still exhibit the
Phillips, Tomos, Schmidt, Karl Michael
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Adapting the interior point method for the solution of LPs on serial, coarse grain parallel and massively parallel computers [PDF]
, 1990 In this paper we describe a unified scheme for implementing an interior point algorithm (IPM) over a range of computer architectures. In the inner iteration of the IPM a search direction is computed using Newton's method.
Levkovitz, R +3 more
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Extrapolated positive definite and positive semi-definite splitting methods for solving non-Hermitian positive definite linear systems [PDF]
, 2022 summary:Recently, Na Huang and Changfeng Ma in (2016) proposed two kinds of typical practical choices of the PPS method. In this paper, we extrapolate two versions of the PPS iterative method, and we introduce the extrapolated Hermitian and skew ...
Shokrpour, Raheleh, Ebadi, Ghodrat
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SMARANDACHE SPECIAL DEFINITE ALGEBRAIC STRUCTURES [PDF]
, 2009 Introducing the notion of Smarandache special definite algebraic structures, also called equivalently as Smarandache definite special algebraic structures.
Vasantha, Kandasamy
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Derivatives of isotropic positive definite functions on spheres [PDF]
, 2017 We show that isotropic positive definite functions on the d -dimensional sphere which are 2k times differentiable at zero have 2k+[(d−1)/2] continuous derivatives on (0,π) .
Trübner, Mara, Ziegel, Johanna F.
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Convolution roots and differentiability of isotropic positive definite functions on spheres [PDF]
, 2014 We prove that any isotropic positive definite function on the sphere can be written as the spherical self-convolution of an isotropic real-valued function.
Ziegel, Johanna F.
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A new S-type eigenvalue inclusion set for tensors and its applications
Journal of Inequalities and Applications, 2016 In this paper, a new S-type eigenvalue localization set for a tensor is derived by dividing N = { 1 , 2 , … , n } $N=\{1,2,\ldots,n\}$ into disjoint subsets S and its complement.
Zheng-Ge Huang +3 more
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Stable positive definite functions [PDF]
Transactions of the American Mathematical Society, 1975 This paper investigates the stability of positive definite functions on locally compact groups under one parameter groups of automorphisms. As an application of this it is shown that the only probability distributions on
Parthasarathy, K. R., Schmidt, K.
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