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3 papers

1984Combinatorica, Vol. 4, No. 4, pp. 373-395 — https://doi.org/10.1007/BF02579150

A new polynomial-time algorithm for linear programming

Narendra Karmarkar

Finding: Proved the algorithm runs in polynomial time, answering the open question, and claimed practical speed advantages over Simplex for large problems.

convex-optimization linear-programming

1969Numerische Mathematik (DOI: 10.1007/BF02165411)

Gaussian Elimination is not Optimal

Volker Strassen

Finding: By recursively applying this 7-multiplication technique, Strassen proved that matrix multiplication could be performed in O(N^2.807) time, fundamentally breaking the assumed O(N^3) barrier and spawning a new field of algebraic complexity theory.

matrix multiplication computational complexity

1953The Journal of Chemical Physics (https://doi.org/10.1063/1.1699114)

Equation of State Calculations by Fast Computing Machines

Edward Teller, Nicholas Metropolis, Marshall N. Rosenbluth, Augusta H. Teller, Arianna W. Rosenbluth

Finding: Demonstrated that sampling from a constructed Markov Chain allows accurate simulation of physical systems and computation of thermodynamic properties.

markov-chain monte-carlo