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Decentralized Stochastic Decision Problems and Polynomial Optimization
Decision Problems Polynomial Optimization
2015/6/19
In this paper we consider the problem of determining optimal decentralized decision rules in discrete stochastic decision problems. Here we consider a static single-stage problem. It has been shown in...
Degree bounds for polynomial verification of the matrix cube
matrix cube polynomial verification
2015/6/19
In this paper we consider the problem of how to computationally test whether a matrix inequality is positive semidefinite on a semialgebraic set. We propose a family of sufficient conditions using the...
Analysis of Polynomial Systems with Time Delays via the Sum of Squares Decomposition
Time Delays via Polynomial Systems
2015/6/19
We present a methodology for analyzing robust independent-of-delay and delay-dependent stability of equilibria of systems described by nonlinear Delay Differential Equations by algorithmically constru...
A HYBRID POLYNOMIAL ALGORITHM FOR LINEAR PROGRAMMING
Linear programming scaling algorithn po
2007/8/7
We propose a "long step" double scaling algorithm. Its local performance has been compared with those of potential-reduction algorithms. On the basis of this analysis, we introduce a polynomial algori...