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2018年SIAM反问题暑期学校（Gene Golub SIAM Summer School 2018:Inverse Problems）
2018年 SIAM 反问题暑期 学校
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2017/12/20
The summer school aims to introduce graduate students to the mathematical and computational aspects of inverse problems, particularly modern developments that emphasize the quantification of uncertain...
第九届国际反问题及相关议题会议（The 9th International Conference on Inverse Problems and Related Topics）
第九届 国际反问题及相关议题 会议
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2017/12/20
An inverse problem in science is the process of calculating from a set of observation data the causal factors (model parameters) that have produced them. It is called an inverse problem because it sta...
2017年应用反问题国际会议（Applied Inverse Problems Conference 2017）
2017年 应用反问题 国际会议
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2017/1/10
Inverse problems arise from the need to interpret indirect measurements. Such situations are common in many application areas such as medical imaging, nondestructive testing, underground prospecting, ...
FAST ALGORITHM FOR EXTRACTING THE DIAGONAL OF THE INVERSE MATRIX WITH APPLICATION TO THE ELECTRONIC STRUCTURE ANALYSIS OF METALLIC SYSTEMS
Diagonal extraction hierarchical Schur complement electronic structure calculation
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2015/7/14
We propose an algorithm for extracting the diagonal of the inverse matrices arising from electronic structure calculation. The proposed algorithm uses a hierarchical decomposition ofthe computational ...
Waves in weakly random media:lecture notes for the Vienna Inverse Problems school
weakly random media Vienna Inverse Problems
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2015/7/14
Wave propagation in complex media is an ubiquitous phenomenon–applications include light propagation through the atmosphere, underwater acoustic, tomography, and innumerable other ones. These problems...
Global uniqueness and reconstruction for the multi-channel Gel'fand-Calderón inverse problem in two dimensions
Global uniqueness reconstruction multi-channel Gel'fand-Calderón inverse problem
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2011/2/24
We study the multi-channel Gel’fand-Calderón inverse problem in two dimensions, i.e. the inverse boundary value problem for the equation − + v(x) = 0, x 2 D, where v is a smooth matrix-valued...
On the explicit powers and the inverse of one type of band Toeplitz matrices
Toeplitz matrices Chebyshev polynomials
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2010/9/25
We derive the general expression of the powers of one type of banded Toeplitz matrices.
On an inverse problem for a class of Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition
Dirac operator scattering function main equation
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2010/9/25
In this paper, it is examined on the half line the inverse problem of scattering theory for a class Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition . T...
Molecular communication in fluid media: The additive inverse Gaussian noise channel
Molecular communication fluid media additive inverse Gaussian noise channel
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2011/1/17
We consider molecular communication, with information conveyed in the time of release of molecules.The main contribution of this paper is the development of a theoretical foundation for such a communi...
An inverse problem for the wave equation with one measurement and the pseudorandom noise
the wave equation measurement the pseudorandom noise
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2010/11/18
We consider the wave equation $(\p_t^2-\Delta_g)u(t,x)=f(t,x)$, in $\R^n$, $u|_{\R_-\times \R^n}=0$, where the metric $g=(g_{jk}(x))_{j,k=1}^n$ is known outside an open and bounded set $M\subset \R^n...
Computing an approximate inverse preconditioner by successive approximations method
Successive approximations method Sylvester equation
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2010/9/17
A method for computing an approximate inverse preconditioner of a matrix A which all eigenvalues have negative real parts is proposed. The approximate solution of the special Sylvester matrix equation...
Information geometry of the power inverse Gaussian distribution
power inverse Gaussian distribution information geometry ]Kullback divergence geometric structure
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2009/1/7
The power inverse Gaussian distribution is a common distri-
bution in reliability analysis and lifetime models. In this paper, we give
the geometric structures of the power inverse Gaussian manifold...
Approximation methods for equilibrium problems and common solution for a finite family of inverse strongly-monotone problems in Hilbert spaces
Tikhonov regularization proximal point method contraction
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2010/9/10
The purpose of the paper is to investigate approximation methods for finding an element that is not only a solution of a equilibrium problem but also a common solution for a finite family of inverse s...
Coefficients of Inverse Functions in a Nested Class of Starlike Functions of Positive Order
Univalent functions, Starlike functions of order $alpha$ Convex functions of order $alpha$ Inverse functions Coefficient estimates
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2008/7/1
Coefficients of Inverse Functions in a Nested Class of Starlike Functions of Positive Order.
Reverse Convolution Inequalities and Applications to Inverse Heat Source Problems
Convolution Heat source Weighted convolution inequalities Young's inequality Hö lder's inequality Reverse Hö lder's inequality Green's function Stability in inverse problems Volterra's equation Conditional stability of Hö lder type Analytic semigroup Interpolation inequality Sobolev inequality
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2008/6/27
Reverse Convolution Inequalities and Applications to Inverse Heat Source Problems.