aequationes mathematicae

, Volume 41, Issue 1, pp 103–110

Generalized matrix versions of the Cauchy-Schwarz and Kantorovich inequalities

  • J. K. Baksalary
  • S. Puntanen
Research Papers

DOI: 10.1007/BF02227445

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

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 15A42Secondary 15A45

Copyright information

© Birkhäuser Verlag 1991

Authors and Affiliations

  • J. K. Baksalary
    • 1
    • 2
  • S. Puntanen
    • 1
    • 2
  1. 1.Department of MathematicsTadeusz Kotarbiński Pedagogical UniversityZielona GóraPoland
  2. 2.Department of Mathematical SciencesUniversity of TampereTampereFinland