Results 61 to 70 of about 180,343 (197)
On Krylov projection methods and Tikhonov regularization [PDF]
, 2015 In the framework of large-scale linear discrete ill-posed problems, Krylov projection methods represent an essential tool since their development, which dates back to the early 1950\u2019s. In recent years, the use of these methods in a hybrid fashion or
Gazzola, Silvia +2 more
core
A UNIFIED APPROACH FOR REGULARIZING DISCRETIZED LINEAR ILL‐POSED PROBLEMS
Mathematical Modelling and Analysis, 2009 In this paper we deal with regularization approaches for discretized linear ill‐posed problems in Hilbert spaces. As opposite to other contributions concerning this topic the smoothness of the unknown solution is measured with so‐called approximative source conditions.
openaire +3 more sources
Journal of MathematicsThis paper investigates an abstract nonhomogeneous backward Cauchy problem governed by an unbounded linear operator in a Hilbert space H. The coefficient operator in the equation is assumed to be unbounded, self-adjoint, positive, and to possess a ...
Nihed Teniou
doaj +1 more source
An overview of probabilistic and time series models in finance [PDF]
, 2005 In this paper, we partially review probabilistic and time series models in finance. Both discrete and continuous .time models are described. The characterization of the No- Arbitrage paradigm is extensively studied in several financial market contexts ...
Ruiz, Esther
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The Averaged Kaczmarz Iteration for Solving Inverse Problems
, 2018 We introduce a new iterative regularization method for solving inverse problems that can be written as systems of linear or non-linear equations in Hilbert spaces.
Haltmeier, Markus, Li, Housen
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Approximate Schur-Block ILU Preconditioners for Regularized Solution of Discrete Ill-Posed Problems
Mathematical Problems in Engineering, 2019 High order iterative methods with a recurrence formula for approximate matrix inversion are proposed such that the matrix multiplications and additions in the calculation of matrix polynomials for the hyperpower methods of orders of convergence p=4k+3 ...
S. C. Buranay, O. C. Iyikal
semanticscholar +1 more source
, 2014 We consider the problem of reconstructing the shape of an impenetrable sound-soft obstacle from scattering measurements. The input data is assumed to be the far-field pattern generated when a plane wave impinges on an unknown obstacle from one or more ...
Borges, Carlos, Greengard, Leslie
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Truncated SVD methods for discrete linear ill-posed problems [PDF]
Geophysical Journal International, 1998 SUMMARY Truncated singular value decomposition (TSVD) techniques have been widely used in inversion. The method of truncation determines the quality of a truncated SVD solution, but truncation has often been done arbitrarily. The ¢rst workable criterion for truncation was based on F-statistical testing, but has only rarely been used in geophysical ...
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Faster gradient descent and the efficient recovery of images
, 2013 Much recent attention has been devoted to gradient descent algorithms where the steepest descent step size is replaced by a similar one from a previous iteration or gets updated only once every second step, thus forming a {\em faster gradient descent ...
Ascher, Uri, Huang, Hui
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Regularized solution of a nonlinear problem in electromagnetic sounding
, 2014 We propose a regularization method to solve a nonlinear ill-posed problem connected to inversion of data gathered by a ground conductivity ...
Deidda, Gian Piero +2 more
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