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We introduce log-log convex programs, which are optimization problems with positive variables that become convex when the variables, objective functions, and constraint functions are replaced with their logs, which we refer to as a log-log transformation.
“Sur les fonctions convexes et les fonctions sousharmoniques”
Paul Montel · 1928
Earlier work this paper cites.
“A convexity property of positive matrices”
John Kingman · 1961
Earlier work this paper cites.
“Geometric Programming — Theory and Application”
Richard Duffin, Elmor Peterson and Clarence Zener · 1967
Earlier work this paper cites.
“The solution of the chemical equilibrium programming problem with generalized benders decomposition”
Richard Clasen · 1984
Earlier work this paper cites.
“Convexity and log convexity for the spectral radius”
Roger Nussbaum · 1986
Earlier work this paper cites.
“Interior-point Polynomial Algorithms in Convex Programming”
Yurii Nesterov and Arkadi Nemirovski · 1994
Earlier work this paper cites.
“Mathematical programming models for environmental quality control”
Harvey Greenberg · 1995
Earlier work this paper cites.
“Convexity according to the geometric mean”
Constantin Niculescu · 2000
Earlier work this paper cites.
“Optimal design of a CMOS op-amp via geometric programming”
Maria Hershenson, Stephen Boyd and Thomas Lee · 2001
Earlier work this paper cites.
“On Mulholland’s inequality”
Witold Jarczyk and Janusz Matkowski · 2002
Earlier work this paper cites.
“Optimal Power Control in Interference-limited Fading Wireless Channels with Outage-probability Specifications”
S. Kandukuri and S. Boyd · 2002
Earlier work this paper cites.
“Convex Optimization”
Stephen Boyd and Lieven Vandenberghe · 2004
Earlier work this paper cites.
“Robust analog/RF circuit design with projection-based posynomial modeling”
Xin Li, Padmini Gopalakrishnan, Yang Xu and Lawrence Pileggi · 2004
Earlier work this paper cites.
“YALMIP: A toolbox for modeling and optimization in MATLAB”
Johan L\"ofberg · 2004
Earlier work this paper cites.
“ORACLE: optimization with recourse of analog circuits including layout extraction”
Yang Xu, Lawrence Pileggi and Stephen Boyd · 2004
Earlier work this paper cites.
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Mark Bagnoli and Ted Bergstrom · 2005
Earlier work this paper cites.
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Stephen Boyd, Seung-Jean Kim, Dinesh Patil and Mark Horowitz · 2005
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Mung Chiang · 2005
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Rabih Jabr · 2005
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Peter Doyle and Jim Reeds · 2006
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Michael Grant, Stephen Boyd and Yinyu Ye · 2006
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Muhamet. \"Ozdemir, Cetin Yildiz and Mustafa G\"urb\"uz · 2014
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Victor Preciado, Michael Zargham, Chinwendu Enyioha, Ali Jadbabaie and George Pappas · 2014
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