Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-24T16:38:58.171Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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