A theorem on convex cones with applications to linear inequalities

Author:
Jerry W. Gaddum

Journal:
Proc. Amer. Math. Soc. **3** (1952), 957-960

MSC:
Primary 52.0X

DOI:
https://doi.org/10.1090/S0002-9939-1952-0052129-8

MathSciNet review:
0052129

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References | Similar Articles | Additional Information

**[1]**S. Agmon,*The relaxation method for linear inequalities*, Prepublication Copy, National Bureau of Standards, Los Angeles, California.**[2]**L. M. Blumenthal,*Metric methods in linear inequalities*, Duke Math. J. vol. 15 (1948) pp. 955-966. MR**0028596 (10:470f)****[3]**L. L. Dines,*Note on certain associated systems of linear equalities and inequalities*, Ann. of Math. (2) vol. 28 (1926-27) pp. 41-42. MR**1502761****[4]**-,*On positive solutions of a system of linear equations*, Ann. of Math. (2) vol. 28 (1926-27) pp. 386-392. MR**1502792****[5]**T. S. Motzkin,*Beiträge zur Theorie der linearen Ungleichungen*, Dissertation, Basel, 1933, Jerusalem, 1936.**[6]**-,*Linear inequalities*, Mimeographed Lecture Notes, University of California, Los Angeles, 1951.**[7]**E. Stiemke,*Über positive Lösungen homogener linearer Gleichungen*, Math. Ann. vol. 76 (1915) pp. 340-342. MR**1511827**

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DOI:
https://doi.org/10.1090/S0002-9939-1952-0052129-8

Article copyright:
© Copyright 1952
American Mathematical Society