TY - JOUR
AU - 이호수
DA - 201403
UR - http://hdl.handle.net/YU.REPOSITORY/32706
UR - http://dx.doi.org/10.11568/kjm.2014.22.1.123
AB - The purpose of this paper is to study the perturbation analysis of the matrix equation $X=I-A^{*}X^{-1}A+B^{*}X^{-1}B.$ Based on the matrix differentiation, we give a precise perturbation bound for the positive definite solution. A numerical example is presented to illustrate the shrpness of the perturbation bound.
PB - 강원경기수학회
KW - Nonlinear matrix equation
KW - positive definite solution
KW - perturbation analysis
TI - Perturbation anaysis for the matrix equation $X=I-A^{*}X^{-1}A+B^{*}X^{-1}B$
ER -