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Inequalities concerning the inverses of positive definite matrices

Published online by Cambridge University Press:  20 January 2009

W. W. Muir
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Much has been written on inequalities concerning positive definite matrices, but a new insight may be gained by examining inequalities from the standpoint of the inverse matrix. The standard inequality of Hölder can then be used in a more fruitful manner. This leads to some new results and a rediscovery of some known results.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 19 , Issue 2 , September 1974 , pp. 109 - 113
Copyright
Copyright © Edinburgh Mathematical Society 1974

References

REFERENCES

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(3) De Bruun, N. G., Inequalities concerning minors and eigenvalues, Nieuw Arch. Wisk. 3 (1956), 18–35.Google Scholar