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A Rigorous Lower Bound for the Optimal Value of Convex Optimization Problems

โœ Scribed by Christian Jansson

Book ID
111593092
Publisher
Springer US
Year
2004
Tongue
English
Weight
159 KB
Volume
28
Category
Article
ISSN
0925-5001

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Given N 2 positive integers a 1 , a 2 , . . . , a N with GCD(a 1 , . . . , a N ) = 1, let f N denote the largest natural number which is not a positive integer combination of a 1 , . . . , a N . This paper gives an optimal lower bound for f N in terms of the absolute inhomogeneous minimum of the sta