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On Lipschitz Inversion of Nonlinear Redundant Representations
Lipschitz Inversion Nonlinear Redundant Representations
2015/9/29
In this note we show that reconstruction from magnitudes of frame coefficients (the so called “phase retrieval problem”) can be performed using Lipschitz continuous maps. Specifically we show that whe...
Dynamic emission tomography - regularization and inversion
Emission tomography subtracting the poison radon pathology emission source static pathological inverse
2015/8/11
The problem of emission tomography, inverting the attenuated Radon transform, is moderately ill-posed if the unknown emission source is static. Here we consider the case where the emission source is d...
A FAST PARALLEL ALGORITHM FOR SELECTED INVERSION OF STRUCTURED SPARSE MATRICES WITH APPLICATION TO 2D ELECTRONIC STRUCTURE CALCULATIONS
selected inversion parallel algorithm electronic structure calculation
2015/7/14
An efficient parallel algorithm is presented for computing selected components of A−1 where A is a structured symmetric sparse matrix. Calculations of this type are useful for several applicatio...
A GROWTH MODEL,A GAME,AN ALGEBRA,LAGRANGE INVERSION,AND CHARACTERISTIC CLASSES
Growth model games algebra Lagrange inversion feature classes
2015/7/14
A GROWTH MODEL,A GAME,AN ALGEBRA,LAGRANGE INVERSION,AND CHARACTERISTIC CLASSES.
Combinatorial Proof of the Inversion Formula on the Kazhdan-Lusztig R-Polynomials
Kazhdan-Lusztig R-polynomial inversion formula Bruhat order
2014/6/3
In this paper, we present a combinatorial proof of the inversion formula on the Kazhdan-Lusztig R-polynomials. This problem was raised by Brenti. As a consequence, we obtain a combinatorial interpreta...
Rao-Blackwellised Interacting Markov Chain Monte Carlo for Electromagnetic Scattering Inversion
Rao-Blackwellised Markov Chain Monte Carlo Electromagnetic Scattering Inversion
2012/11/22
The following electromagnetism (EM) inverse problem is addressed. It consists in estimating local radioelectric properties of materials recovering an object from the global EM scattering measurement, ...
Inversion of circular means and the wave equation on general planar domains
Inversion of circular equation general planar domains Analysis of PDEs
2012/6/25
We study the problem of recovering the initial data of the two dimensional wave equation from values of its solution on an arbitrarily shaped bounded domain $\Omega \subset \R^2$. As a main result we ...
Inversion Formulas for the Spherical Means in Constant Curvature Spaces
The spherical mean Radon transform thermoacoustic tomography the method of analytic continuation
2011/9/23
Abstract: The work develops further the theory of the following inversion problem, which plays the central role in the rapidly developing area of thermoacoustic tomography and has intimate connections...
The Inversion Symmetry of the WDVV Equations and Tau Functions
Inversion Symmetry WDVV Equations Tau Functions
2011/2/28
For two solutions of the WDVV equations that are related by the inversion symmetry, we show that the associated principal hierarchies of integrable systems are related by a reciprocal transformation, ...
Some inversion formulas and formulas for Stirling numbers
Inversion formula Inverse function Stirling number
2011/2/22
In the paper we present some new inversion formulas and two new formulas for Stirling numbers.
Analytical inversion of two dimensional Laplace-Carson transform by a differential method
Two dimensional Laplace-Carson transform two dimensional Mellin transform Functional sequence
2010/9/25
Analytical inversion of two dimensional Laplace-Carson transform by a differential method.
The Inversion of Ray Transforms on a Conformal Class of Curves
Ray Transforms Conformal Class of Curves
2010/11/22
We introduce a technique for recovering a sufficiently smooth function from its ray transform over a wide class of curves in a general region of Euclidean space. The method is based on a complexificat...
Charge conjugation from space-time inversion in QED: discrete and continuous groups
CPT groups space-time inversion Lorentz and Poincar´ e groups
2010/11/29
We show that the CPT groups of QED emerge naturally from the PT and P (or T )subgroups of the Lorentz group. We also find relationships between these discrete groups and continuous groups, like the co...
Inversion of analytic characteristic functions and infinite convolutions of exponential and Laplace densities
Infinite convolutions characteristic function entire functions
2010/12/1
We prove that certain quotients of entire functions are characteristic functions. Under some conditions,the probability measure corresponding to a characteristic function of that type has a density wh...
Linearization Ill-Posedness for 2.5-D Wave Equation Inversion Model
Linearization inversion integral geometry
2007/12/11
0}, we consider the inverse problem of determining the density function p(x, y). The inversion input for our inverse problem is the wave field given on a line. We get an integral equation for the 2-D ...