THE CERTIFICATION OF THE STRUCTURE MATRIX WITH RANK DEFICIENCY
LI Zh · Xitong kexue yu shuxue · 2015
This paper mainly discusses the certification of the structure matrix with rank deficiency using interval algorithm.For a structure matrix A(p) with numerical rank k,this paper gives an algorithm which outputs an interval matrix A(p+W) with the same algebraic structure such that A(p+ W) contains a real matrix A(p+w) with the same algebraic structure and rank k within certain error bounds.Specially,each element of A(p + W) is a small interval perturbation of the corresponding element of A(p).