Abstract
This chapter studies the positive semidefinite matrices, concentrating primarily on the inequalities of this type of matrix. The main goal is to present the fundamental results and show some often-used techniques. Section 7.1 gives the basic properties, Section 7.2 treats the L¨owner partial ordering of positive semidefinite matrices, and Section 7.3 presents some inequalities of principal submatrices. Section 7.4 derives inequalities of partitioned positive semidefinite matrices using Schur complements, and Section 7.5 and 7.6 investigate the Hadamard product of the positive semidefinite matrices. Finally, Section 7.7 shows the Cauchy–Schwarz type matrix inequalities and the Wielandt and Kantorovich inequalities.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
