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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...
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...
SIAMJO
2008
79views more  SIAMJO 2008»
13 years 4 months ago
A Class of Inexact Variable Metric Proximal Point Algorithms
For the problem of solving maximal monotone inclusions, we present a rather general class of algorithms, which contains hybrid inexact proximal point methods as a special case and ...
Lisandro A. Parente, Pablo A. Lotito, Mikhail V. S...
MP
2008
129views more  MP 2008»
13 years 4 months ago
Corrector-predictor methods for monotone linear complementarity problems in a wide neighborhood of the central path
Abstract. Two corrector-predictor interior point algorithms are proposed for solving monotone linear complementarity problems. The algorithms produce a sequence of iterates in the ...
Florian A. Potra
DLT
2008
13 years 6 months ago
Derivation Tree Analysis for Accelerated Fixed-Point Computation
We show that for several classes of idempotent semirings the least fixed-point of a polynomial system of equations X = f(X) is equal to the least fixed-point of a linear system obt...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...