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The quadratic form positive definite on a linear manifold

Published online by Cambridge University Press:  24 October 2008

S. N. Afriat
S. N. Afriat
Affiliation:
Pembroke CollegeCambridge
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Extract

1. Introduction. Necessary and sufficient conditions are established for a real quadratic form to be positive definite on a linear manifold, in a real vector space, explicit in terms of the dual Grassmann coordinates for the manifold.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 1 , January 1951 , pp. 1 - 6
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

REFERENCES

(1)Ferrar, W. L.Algebra (Oxford, 1941).Google Scholar
(2)Turnbull, H. M.The theory of determinants, matrices and invariants (London, 1945), p. 79.Google Scholar
(3)Aitken, A. C.Determinants and matrices (Edinburgh, 1942), p. 83 and ch. V.Google Scholar
(4)Bôcher, M.Introduction to higher algebra (New York, 1933), ch. XII.Google Scholar
(5)Chaundy, T. W.The differential calculus (Oxford, 1935), pp. 256 et seq.Google Scholar
(6)Allen, R. G.Mathematical analysis for economists.Google Scholar