1,718 research outputs found
On the existence of a positive definite solution of the matrix equation X+AXA=I
Matrices;mathematics
On the Matrix (I + X)-1
In this note we consider the question under which conditions all entries of the matrix I-(I+X)-1 are nonnegative in case matrix X is a real positive definite matrix.Sufficient conditions are presented as well as some necessary conditions.One sufficient condition is that matrix X-1 is an inverse M-matrix.A class of matrices for which the inequality holds is presented.matrices
Calculation of an approximate solution of the infinite time-varying LQ-problem
Linear Programming;Algorithm;Optimal Control;operations research
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