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APLAS
2005
ACM
13 years 11 months ago
Heterogeneous Fixed Points with Application to Points-To Analysis
Many situations can be modeled as solutions of systems of simultaneous equations. If the functions of these equations monotonically increase in all bound variables, then the existe...
Aditya Kanade, Uday P. Khedker, Amitabha Sanyal
STOC
2007
ACM
132views Algorithms» more  STOC 2007»
14 years 5 months ago
On the convergence of Newton's method for monotone systems of polynomial equations
Monotone systems of polynomial equations (MSPEs) are systems of fixed-point equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomial with p...
Stefan Kiefer, Michael Luttenberger, Javier Esparz...
CORR
2008
Springer
143views Education» more  CORR 2008»
13 years 5 months ago
Convergence Thresholds of Newton's Method for Monotone Polynomial Equations
Abstract. Monotone systems of polynomial equations (MSPEs) are systems of fixedpoint equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomia...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...
ICLP
2009
Springer
14 years 6 months ago
Computing Loops with at Most One External Support Rule for Disjunctive Logic Programs
We extend to disjunctive logic programs our previous work on computing loop formulas of loops with at most one external support. We show that for these logic programs, loop formula...
Xiaoping Chen, Jianmin Ji, Fangzhen Lin
ICDE
2007
IEEE
140views Database» more  ICDE 2007»
14 years 7 months ago
Selecting Stars: The k Most Representative Skyline Operator
Skyline computation has many applications including multi-criteria decision making. In this paper, we study the problem of selecting k skyline points so that the number of points,...
Xuemin Lin, Yidong Yuan, Qing Zhang, Ying Zhang