The Solutions to Matrix EquationAX=Bwith Some Constraints

[摘要] LetPbe a given Hermitian matrix satisfyingP2=I. Using the eigenvalue decomposition ofP, we consider the least squares solutions to the matrix equationAX=Bwith the constraintsPX=XPandX*=X. A similar problem of this matrix equation with generalized constrained is also discussed.

[学科分类] 应用数学