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APPROX
2006
Springer
121views Algorithms» more  APPROX 2006»
15 years 4 months ago
A Randomized Solver for Linear Systems with Exponential Convergence
Abstract. The Kaczmarz method for solving linear systems of equations Ax = b is an iterative algorithm that has found many applications ranging from computer tomography to digital ...
Thomas Strohmer, Roman Vershynin
133
Voted
MMAS
2011
Springer
14 years 3 months ago
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
This paper introduces a new sweeping preconditioner for the iterative solution of the variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow th...
Björn Engquist, Lexing Ying
116
Voted
AMC
2008
108views more  AMC 2008»
15 years 18 days ago
Improved exponential stability for time-varying systems with nonlinear delayed perturbations
In this paper, a new sufficient delay dependent exponential stability condition for a class of linear time-varying systems with nonlinear delayed perturbations is derived by using...
P. Niamsup, K. Mukdasai, V. N. Phat
102
Voted
ICIP
1998
IEEE
16 years 2 months ago
An Explicit Closed-Form Solution to the Limited-Angle Discrete Tomography Problem for Finite-Support Objects
: An explicit formula is presented for reconstructing a This article derives an explicit formula for the integer values finite-support object defined on a lattice of points and tak...
Andrew E. Yagle
STOC
2002
ACM
126views Algorithms» more  STOC 2002»
16 years 23 days ago
Polynomial-time quantum algorithms for Pell's equation and the principal ideal problem
We give polynomial-time quantum algorithms for three problems from computational algebraic number theory. The first is Pell's equation. Given a positive nonsquare integer d, ...
Sean Hallgren