Title of article :
Inequalities and equalities for the Cartesian decomposition of complex matrices Original Research Article
Author/Authors :
Che-Man Cheng، نويسنده , , Roger A. Horn، نويسنده , , Chi-Kwong Li، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2002
Abstract :
Let A and B be Hermitian matrices and let C=A+iB. Inequalities and equalities for the eigenvalues and singular values of the matrices A,B, and C are discussed. Known results on inequalities are surveyed, new results on equality cases are proved, and open problems are mentioned.
Keywords :
eigenvalues , Equality case of inequalities , Cartesian decomposition , majorization , singular values
Journal title :
Linear Algebra and its Applications
Journal title :
Linear Algebra and its Applications