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Computing the minimum stability degree of parameter-dependent linear systems
Parameters related to linear system program control system the branch and bound algorithm is calculated
2015/8/12
For linear systems with unspecified parameters that lie between given upper and lower bounds, we present a branch and bound algorithm that computes the minimum stability degree.
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...
A DEFECT CORRECTION METHOD FOR THE EFFECTIVE COMPUTATION OF HIGH-DEGREE FINITE ELEMENT SOLUTIONS
2007/8/7
In this papert a cutting planelnethod is presented for solving the linear BLPP. An optimality criterion for the linear BLPP is derived from two related linear programs constructed by using the complem...
It is significant in mathematical problems to decompose a polynomial P(x)intoan irreducible representation as followsP(x)=P1(P2(…(Pn(x))…)).In this paper, we present an effective and efficient algorit...
A DEFECT CORRECTION METHOD FOR THE EFFECTIVE COMPUTATION OF HIGH-DEGREE FINITE ELEMENT SOLUTIONS
2007/8/7
The high-degree finite element solution of the 2-point boundary value problem: -(p(t)u′(t))′=f(t,u) in (0,1), u(0)=u(1)=0 is considered as a fixed-point of an iterative process using a linear finite e...