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1-7 of 7 Reviews about "
Inverse Problems (G.1.8...)
":
Date Reviewed
Introduction to inverse problems for differential equations
Hasanoǧlu A., Romanov V., Springer International Publishing, New York, NY, 2017. 261 pp. Type: Book (978-3-319627-96-0)
Several mathematical problems in science, engineering, and technology are inverse problems. For example, inverse problem theory is often used in heat and mass transfer, imaging, hydrology, oceanography, and so on. In general, inverse p...
Sep 12 2018
Numerical Caputo differentiation by radial basis functions
Li M., Wang Y., Ling L. Journal of Scientific Computing 62(1): 300-315, 2015. Type: Article
There are several books on the topic of fractional calculus and differential equations; see, for example, Oldham and Spanier [1], Podlubny [2], Kilbas et al. [3], and Mainardi [4]. Some books also discuss applications of fractional der...
Jun 2 2015
Matrix recipes for hard thresholding methods
Kyrillidis A., Cevher V. Journal of Mathematical Imaging and Vision 48(2): 235-265, 2014. Type: Article
The authors consider a class of methods for solving the general affine rank minimization (ARM) problem. Mathematically, the problem is described in terms of a multilinear operator
A
that maps an
m
...
Nov 10 2014
Discrete inverse problems: insight and algorithms
Hansen P., SIAM, Philadelphia, PA, 2010. 225 pp. Type: Book (978-0-898716-96-2)
This is yet another book in the successful series “Fundamentals of Algorithms” from the Society for Industrial and Applied Mathematics (SIAM). It introduces the tools of modern applied mathematics in a style accessi...
Nov 9 2010
Inverse sorting problem by minimizing the total weighted number of changes and partial inverse sorting problems
Yang X., Zhang J. Computational Optimization and Applications 36(1): 55-66, 2007. Type: Article
Given a set of numbers
a
= {
a
1
,
a
2
, ...,
a
n
}, the solution of an inverse sorting problem is another set of...
Aug 1 2007
Image Deblurring: I Can See Clearly Now
Nagy J., O’Leary D. Computing in Science and Engineering 5(3): 82-84, 2003. Type: Article
A very nice educational tool is presented in this paper that illustrates how to deal with ill-conditioned inverse problems using singular value decomposition (SVD), with application to an image deblurring problem. The reader is gradual...
Nov 25 2003
Computational methods for inverse problems
Vogel C., Society for Industrial & Applied Mathematics, 2002. 183 pp. Type: Book (9780898715071)
Inverse problems are frequently encountered in real-world applications. Ill-posed (ill-conditioned) problems, or equivalently, singular problems are often associated with them. As the name suggests, this kind of problem is usually inex...
May 29 2003
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