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A new polynomial-time algorithm for linear programming

open access: yesCombinatorica, 1984
This paper discusses a new polynomial time algorithm for linear programming (LP). It is an interior point method whose worst case computational complexity is \(0(n^{3.5}L)\) arithmetic operations on 0(L) bit numbers, where n is the number of variables and L is the number of bits in the input.
N. Karmarkar
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A Polynomial Time Algorithm For Fault Diagnosability

25th Annual Symposium onFoundations of Computer Science, 1984., 1984
We present the first polynomial time algorithm for testing t-diagnosability. This is a significant advance in system level fault diagnosis. We also presented part of our analysis of t/s-diagnosability, including the fact that it is co-NP-complete and that there are polynomial algorithms for t/t and t/(t+1)-diagnosability.
G. Sullivan
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