Results 31 to 40 of about 5,632,119 (202)
Projection regularization algorithm for solving linear algebraic system of large dimension
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010 The iterative projection algorithm for solving ill-posed systems of linear algebraic equations is examined. This algorithm is based on transforming the regularized normal equations to the equivalent augmented regularized normal system of equations.
Alexander I Zhdanov, Audrey A Ivanov
doaj +3 more sources
THE DEVELOPMENT OF STUDENTS APPLIED MATHEMATICAL THINKING IN TEACHING INVERSE AND ILL-POSED PROBLEMS
RUDN Journal of Informatization in Education, 2017 In the article the author draws the reader’s attention to the fact that, while mastering the process of learning the theory and methodology of inverse and ill-posed problems, students not only form the fundamental knowledge in the field of inverse and ...
V S Kornilov
doaj +1 more source
Minimum Principles for Ill-Posed Problems [PDF]
SIAM Journal on Mathematical Analysis, 1978 Ill-posed problems $Ax = h$ are discussed in which A is Hermitian and postive definite; a bound $\| {Bx} \| \leqq \beta $ is prescribed. A minimum principle is given for an approximate solution $\hat x$. Comparisons are made with the least-squares solutions of K. Miller, A. Tikhonov, et al.
openaire +2 more sources
ADAPTIVE NEURAL STABILIZATION OF ILL-POSED SPECTRAL PROBLEMS
Компютерні системи та інформаційні технологіїThe article develops a mathematical model of adaptive neural regularization and creates an algorithmic method for its implementation with a neural network for dynamic determination of the regularization parameter.
Федір САЙБЕРТ +1 more
doaj +1 more source
Comparing parameter choice methods for regularization of ill-posed problems [PDF]
, 2011 In the literature on regularization, many different parameter choice methods have been proposed in both deterministic and stochastic settings. However, based on the available information, it is not always easy to know how well a particular method will ...
Bauer, F., Lukas, M.A.
core
Quasireversibility for inhomogeneous ill-posed problems in Hilbert spaces
Electronic Journal of Differential Equations, 2010 In a Hilbert space $mathcal{H}$, the inhomogeneous ill-posed abstract Cauchy problem is given by $frac{du}{dt} = Au(t) + h(t)$, $u(0) = chi$, $0 leq t < T$; where $A$ is a positive self-adjoint linear operator acting on $mathcal{H}$, $chi in ...
Beth M. Campbell Hetrick
doaj
Challenges of inversely estimating Jacobian from metabolomics data
Frontiers in Bioengineering and Biotechnology, 2015 Inferring dynamics of metabolic networks directly from metabolomics data provides a promising way to elucidate the underlying mechanisms of biological systems, as reported in our previous studies [1-3] by a differential Jacobian approach. The Jacobian is
Xiaoliang eSun +4 more
doaj +1 more source
Quasireversibility methods for non-well-posed problems
Electronic Journal of Differential Equations, 1994 $$displaylines{ u_t+Au = 0, quad ...
G. W. Clark, S. F. Oppenheimer
doaj
Asymptotic behaviour of the minimum bound method for choosing the regularization parameter [PDF]
, 1998 We consider a parameter choice method (called the minimum bound method) for regularization of linear ill-posed problems that was developed by Raus and Gfrerer for the case with continuous, deterministic data.
Lukas, M.A.
core
An Approximate Solution for a Class of Ill-Posed Nonhomogeneous Cauchy Problems
Journal of Mathematics, 2021 In this paper, we consider a nonhomogeneous differential operator equation of first order u′t+Aut=ft. The coefficient operator A is linear unbounded and self-adjoint in a Hilbert space. We assume that the operator does not have a fixed sign. We associate
Nihed Teniou, Salah Djezzar
doaj +1 more source