Stein's method for comparison of univariate distributions [PDF]
, 2016 We propose a new general version of Stein's method for univariate distributions. In particular we propose a canonical definition of the Stein operator of a probability distribution which is based on a linear difference or differential-type operator.
Ley, Christophe +2 more
core +4 more sources
Fixed Point Theory and Applications, 2007 A new monotonicity, M-monotonicity, is introduced, and the resolvant operator of an M-monotone operator is proved to be single-valued and Lipschitz continuous.
Juhe Sun, Shaowu Zhang, Liwei Zhang
doaj +2 more sources
Boundary integral equations on unbounded rough surfaces: Fredholmness and the finite section method [PDF]
, 2008 We consider a class of boundary integral equations that arise in the study of strongly elliptic BVPs in unbounded domains of the form $D = \{(x, z)\in \mathbb{R}^{n+1} : x\in \mathbb{R}^n, z > f(x)\}$ where $f : \mathbb{R}^n \to\mathbb{R}$ is a ...
Chandler-Wilde, Simon Neil +1 more
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Derivation and Analysis of the Primal-Dual Method of Multipliers Based on Monotone Operator Theory [PDF]
IEEE Transactions on Signal and Information Processing over Networks, 2017 In this paper, we present a novel derivation of an existing algorithm for distributed optimization termed the primal-dual method of multipliers (PDMM).
Thomas W. Sherson +2 more
semanticscholar +1 more source
Existence of solution to an evolution equation and a justification of the DSM for equations with monotone operators [PDF]
, 2009 An evolution equation, arising in the study of the Dynamical Systems Method (DSM) for solving equations with monotone operators, is studied in this paper.
Hoang, N. S., Ramm, A. G.
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ON THE METHOD FOR RECONSTRUCTING THE BOUNDARY CONDITION FOR PARABOLIC LINEAR EQUATIONS
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. A problem of determination of unknown boundary condition often appears in different fields of physics and technical sciences in cases when direct measuring of field characteristics at some part of the boundary is difficult or even ...
I. V. Boykov, V. A. Ryazantsev
doaj +1 more source
Recursive Delta-Operator-Based Subspace Identification with Fixed Data Size
Complexity, 2023 This paper proposes a recursive delta-operator-based subspace identification method with fixed data size. The majority of existing subspace identification methods are constrained to discrete-time systems because of the disparity in Hankel matrices ...
Miao Yu +3 more
doaj +1 more source
Classical Continuous Boundary Optimal Control Vector Problem for Triple Nonlinear Parabolic System
Al-Mustansiriyah Journal of Science, 2023 In this paper, our purpose is to study the classical continuous boundary optimal triple control vector problem (CCBOTCVP) dominating by nonlinear triple parabolic boundary value problem (NLTPBVP).
Jamil Amir Ali Al-hawasy +1 more
doaj +1 more source
Continuous $ k $-Frames and their Dual in Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2020 The notion of $k$-frames was recently introduced by G\u avru\c ta in Hilbert spaces to study atomic systems with respect to a bounded linear operator. A continuous frame is a family of vectors in a Hilbert space which allows reproductions of arbitrary ...
Gholamreza Rahimlou +3 more
doaj +1 more source
The mathematical characteristic of the fifth order Laplace contour filters used in digital image processing [PDF]
Advances in Geodesy and Geoinformation, 2022 The Laplace operator is a differential operator which is used to detect edges of objects in digital images. This paper presents the properties of the most commonly used fifth-order pixels Laplace filters including the difference schemes used to derive ...
Ireneusz Winnicki +3 more
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