# Generalized matrix versions of the Cauchy-Schwarz and Kantorovich inequalities

Research Papers

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DOI: 10.1007/BF02227445

- Cite this article as:
- Baksalary, J.K. & Puntanen, S. Aeq. Math. (1991) 41: 103. doi:10.1007/BF02227445

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## Summary

A recent note by Marshall and Olkin (1990), in which the Cauchy-Schwarz and Kantorovich inequalities are considered in matrix versions expressed in terms of the Loewner partial ordering, is extended to cover positive semidefinite matrices in addition to positive definite ones.

### AMS (1980) subject classification

Primary 15A42 Secondary 15A45## Copyright information

© Birkhäuser Verlag 1991