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COMBINATORICS
2007
64views more  COMBINATORICS 2007»
13 years 4 months ago
Extremal Subsets of {1, ..., n} Avoiding Solutions to Linear Equations in Three Variables
We refine previous results to provide examples, and in some cases precise classifications, of extremal subsets of {1, ..., n} containing no solutions to a wide class of non-inva...
Peter Hegarty
MMAS
2011
Springer
12 years 7 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
FOCS
2009
IEEE
13 years 11 months ago
Linear Systems over Composite Moduli
We study solution sets to systems of generalized linear equations of the form ℓi(x1, x2, · · · , xn) ∈ Ai (mod m) where ℓ1, . . . , ℓt are linear forms in n Boolean var...
Arkadev Chattopadhyay, Avi Wigderson
IPL
2010
119views more  IPL 2010»
13 years 3 months ago
Note on Max Lin-2 above Average
In the Max Lin-2 problem we are given a system S of m linear equations in n variables over F2 in which Equation j is assigned a positive integral weight wj for each j. We wish to ...
Robert Crowston, Gregory Gutin, Mark Jones