A New Symmetric Rank One Algorithm for Unconstrained Optimization [PDF]
In this paper, a new symmetric rank one for unconstrained optimization problems is presented. This new algorithm is used to solve symmetric and positive definite matrix.
Abbas Al-Bayati, Salah Shareef
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Distributional boundary values of analytic functions and positive definite distributions
We propose necessary and sufficient conditions for a distribution (generalized function) fof several variables to be positive definite. For this purpose, certain analytic extensions of f to tubular domains in complex space Cn are studied. The main result
Saulius Norvidas
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On iterated powers of positive definite functions [PDF]
We prove that if $\rho$ is an adapted positive definite function in the Fourier--Stieltjes algebra $B(G)$ of a locally compact group $G$ with $\|\rho\|_{B(G)}=1$, then the iterated powers $(\rho^n)$ converge to zero in the weak* topology $\sigma(B(G) , C^
Kalantar, Mehrdad
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Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions
The relation between representations and positive definite functions is a key concept in harmonic analysis on topological groups. Recently this relation has been studied on topological groupoids.
Massoud Amini, Alireza Medghalchi
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On positive definiteness over locally compact quantum groups [PDF]
The notion of positive-definite functions over locally compact quantum groups was recently introduced and studied by Daws and Salmi. Based on this work, we generalize various well-known results about positive-definite functions over groups to the quantum
Runde, Volker, Viselter, Ami
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Image reconstruction from scattered Radon data by weighted positive definite kernel functions [PDF]
We propose a novel kernel-based method for image reconstruction from scattered Radon data. To this end, we employ generalized Hermite–Birkhoff interpolation by positive definite kernel functions. For radial kernels, however, a straightforward application
De Marchi, S., Iske, A., Santin, G.
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Stability of some differential equations of the fourth-order and fifth-order
The article is devoted to the study of the problem of stability of nonlinear ordinary differential equations by the method of semi-definite Lyapunov’s functions. The types of fourth-order and fifth-order scalar nonlinear differential equations of general
Boris S. Kalitine
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Positive definite $*$-spherical functions, property (T), and $C^*$-completions of Gelfand pairs [PDF]
The study of existence of a universal $C^*$-completion of the $^*$-algebra canonically associated to a Hecke pair was initiated by Hall, who proved that the Hecke algebra associated to $(\operatorname{SL}_2(\Qp), \operatorname{SL}_2(\Zp))$ does not admit
Larsen, Nadia S., Palma, Rui
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Strict positive definiteness on spheres via disk polynomials
We characterize complex strictly positive definite functions on spheres in two cases, the unit sphere of ℂq, q≥3, and the unit sphere of the complex ℓ2. The results depend upon the Fourier-like expansion of the functions in terms of disk polynomials and,
V. A. Menegatto, A. P. Peron
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THE NEW RANK ONE CLASS FOR UNCONSTRAINED PROBLEMS SOLVING
One of the most well-known methods for unconstrained problems is the quasi-Newton approach, iterative solutions. The great precision and quick convergence of the quasi-Newton methods are well recognized. In this work, the new algorithm for the symmetric
Ahmed Mustafa
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