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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...
AN INVESTIGATION OF THE POLYNOMIAL FORFORWARD ANALYSIS OF A FLORIDA PLATFORM
Florida platform forward analysis poly
2007/8/7
The forward analysis of a Florida platform is presented. The degree of the resulting polynomial is studied in detail. The computation is carried out using computer algebra system MAPLE V.
In this paper,the main emphasis of the proposed discussion is on the efficiency of estimation of fixed polynomial effects in mired models based on PBIB (partially balanced incomplete block) design. We...
This is the first in a series of papers describing an elimination method for differential (abbr. d-) polynomial systems. We present two mds algorithms, one with and the other without projection, for d...
ON A LINEAR EQUATIONS METHOD OF NONLINEAR POLYNOMIAL EQUATIONS-SOLVING
Equations-solving nonlinear methods cha
2007/8/7
A method for solving nonlinear polynomial equations is given which avoids the appearance of redundant factors as in the previous characteristic set method developed by the present author. The new meth...
A POLYNOMIAL ALGORITHM FOR FINDING A BUMP OPTIMAL EXTENSION OF AN ORDERED SET
Bump number linear extension algorithm o
2007/8/7
A polynomial algorithm for finding a linear extension of an ordered set which has the minimum bumps is presented.
This is the third paper of the series entitled “A mechanization method of geometryand its applications”, cf.[WU3—5]. In the present paper it is shown how inequalities can be proved by means of the aut...