TY - JOUR
ID - 340
TI - The least-square bisymmetric solution to a quaternion matrix equation with applications
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Wang, Q.
AU - Yu, G.
AD - Department of Mathematics, Shanghai University
Y1 - 2013
PY - 2013
VL - 39
IS - 2
SP - 239
EP - 257
KW - Quaternion matrix equation
KW - bisymmetric matrix
KW - least-square solution
KW - Inertia
DO -
N2 - In this paper, we derive the necessary and sufficient conditions for the quaternion matrix equation XA=B to have the least-square bisymmetric solution and give the expression of such solution when the solvability conditions are met. Futhermore, we consider the maximal and minimal inertias of the least-square bisymmetric solution to this equation. As applications, we derive sufficient and necessary conditions for XA=B to have the positive (nonnegative) definite least-square bisymmetric solution and the maximal (minimal) least-square bisymmetric solution.
UR - http://bims.iranjournals.ir/article_340.html
L1 - http://bims.iranjournals.ir/article_340_5bfe11787a82c95ca80797926f05c97f.pdf
ER -