TY - JOUR
A2 - Vampa, Victoria
AU - Zhao, Wenling
AU - Li, Hongkui
AU - Liu, Xueting
AU - Xu, Fuyi
PY - 2009
DA - 2009/10/19
TI - Necessary and Sufficient Conditions for the Existence of a Hermitian Positive Definite Solution of a Type of Nonlinear Matrix Equations
SP - 672695
VL - 2009
AB - We study the Hermitian positive definite solutions of the nonlinear matrix equation X+A∗X−2A=I, where A is an n×n nonsingular matrix. Some necessary and sufficient conditions for the existence of a Hermitian positive definite solution of this equation are given. However, based on the necessary and sufficient conditions, some properties and the equivalent equations of X+A∗X−2A=I are presented while the matrix equation has a Hermitian positive definite solution.
SN - 1024-123X
UR - https://doi.org/10.1155/2009/672695
DO - 10.1155/2009/672695
JF - Mathematical Problems in Engineering
PB - Hindawi Publishing Corporation
KW -
ER -