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STOC
2007
ACM
132views Algorithms» more  STOC 2007»
14 years 9 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...
SIAMSC
2010
141views more  SIAMSC 2010»
13 years 7 months ago
Blendenpik: Supercharging LAPACK's Least-Squares Solver
Abstract. Several innovative random-sampling and random-mixing techniques for solving problems in linear algebra have been proposed in the last decade, but they have not yet made a...
Haim Avron, Petar Maymounkov, Sivan Toledo
CDC
2008
IEEE
184views Control Systems» more  CDC 2008»
14 years 3 months ago
Almost sure convergence to consensus in Markovian random graphs
— In this paper we discuss the consensus problem for a network of dynamic agents with undirected information flow and random switching topologies. The switching is determined by...
Ion Matei, Nuno C. Martins, John S. Baras
NIPS
2007
13 years 10 months ago
Fixing Max-Product: Convergent Message Passing Algorithms for MAP LP-Relaxations
We present a novel message passing algorithm for approximating the MAP problem in graphical models. The algorithm is similar in structure to max-product but unlike max-product it ...
Amir Globerson, Tommi Jaakkola
CSC
2006
13 years 10 months ago
Symmetric Positive Definite Based Preconditioners For Discrete Convection-diffusion Problems
Abstract -- We experimentally examine the performance of preconditioners based on entries of the symmetric positive definite part and small subspace solvers for linear system of eq...
Mohammad Sameer Sunhaloo, Muddun Bhuruth