ata abu-asad | Palestine Technical University - Kadoorie (original) (raw)

Uploads

Papers by ata abu-asad

Research paper thumbnail of SOME INEQUALITIES FOR POWERS OF POSITIVE DEFINITE MATRICES

We give several matrix versions of the inequalities a b + b a > 1 and a a > e −e −1 for positive ... more We give several matrix versions of the inequalities a b + b a > 1 and a a > e −e −1 for positive scalars a and b. For instance, for all positive definite matrices A,B , any Hermitian matrix X, and any unitarily invariant norm, A b X + XB a |||X||| , where a and b are the smallest eigenvalues of A and B , respectively.

Research paper thumbnail of SOME INEQUALITIES FOR POWERS OF POSITIVE DEFINITE MATRICES

We give several matrix versions of the inequalities a b + b a > 1 and a a > e −e −1 for positive ... more We give several matrix versions of the inequalities a b + b a > 1 and a a > e −e −1 for positive scalars a and b. For instance, for all positive definite matrices A,B , any Hermitian matrix X, and any unitarily invariant norm, A b X + XB a |||X||| , where a and b are the smallest eigenvalues of A and B , respectively.

Log In