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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...
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...
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...
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.
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 ...