Some inequalities for sums of nonnegative definite matrices in quaternions | Zendy

Yongge Tian | Zendy; George PH Styan | Zendy

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Some inequalities for sums of nonnegative definite matrices in quaternions

Author(s) -

Yongge Tian,

George PH Styan

Publication year - 2005

Publication title -

journal of inequalities and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.735

H-Index - 50

eISSN - 1029-242X

pISSN - 1025-5834

DOI - 10.1155/jia.2005.449

Subject(s) - mathematics , quaternion , hermitian matrix , positive definite matrix , algebra over a field , pure mathematics , quaternion algebra , inequality , matrix (chemical analysis) , division algebra , mathematical analysis , algebra representation , eigenvalues and eigenvectors , geometry , physics , materials science , quantum mechanics , composite material

Some matrix versions of the Cauchy-Schwarz and Frucht-Kantorovich inequalities are established over the quaternionic algebra. As applications, a group of inequalities for sums of Hermitian nonnegative definite matrices over the quaternionic algebra are derived.

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