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» On Generalized Schur Numbers
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EJC
2006
13 years 4 months ago
An iterative-bijective approach to generalizations of Schur's theorem
Abstract. We start with a bijective proof of Schur's theorem due to Alladi and Gordon and describe how a particular iteration of it leads to some very general theorems on colo...
Sylvie Corteel, Jeremy Lovejoy
COMPUTING
2000
89views more  COMPUTING 2000»
13 years 4 months ago
Condition Numbers of Approximate Schur Complements in Two- and Three-Dimensional Discretizations on Hierarchically Ordered Grids
We investigate multilevel incomplete factorizations of M-matrices arising from
J. K. Kraus, C. W. Brand
COMBINATORICS
2000
87views more  COMBINATORICS 2000»
13 years 4 months ago
Symmetric Sum-Free Partitions and Lower Bounds for Schur Numbers
We give new lower bounds for the Schur numbers S(6) and S(7). This will imply new lower bounds for the Multicolor Ramsey Numbers R6(3) and R7(3). We also make several observations...
Harold Fredricksen, Melvin M. Sweet
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
JCT
2011
74views more  JCT 2011»
12 years 11 months ago
Quasisymmetric Schur functions
Abstract. We introduce a new basis for quasisymmetric functions, which arise from a specialization of nonsymmetric Macdonald polynomials to standard bases, also known as Demazure a...
James Haglund, Kurt W. Luoto, Sarah Mason, Stephan...