Mar 27, 1992 - Various fractional programming and generalized fractional programming duals are shown ... be real valued differentiable functions on Rn x Rm.
for multiobjective programming problem involving generalized convex functions. Kaul et al. [9] derived .... Let X be a Hp-invex set, Hp is right differentiable at 0.
and duality results were given by Lyall et al.[9]for a fractional programming prob- lem involving semilocally convex and related functions. Kaul et al. [7] de¯ned.
Keywords Minmax programming · Fractional programming · Second order ... For the case of convex differentiable minmax fractional programming, Yadav and.
International Journal of Optimization: Theory, Methods and Applications ... Wu [12] developed duality theory in fuzzy optimization problems formulated by the.
Kaul and Lyall ([10]) and Bector, Chandra and Singh ([2]) formulated du- als and duality assertions for multiobjective fractional problems, but under.
CMOS analog circuit design via geometric programming. Maria del Mar
Hershenson. Abstract—This talk presents a new method for optimizing and
automating ...
the total power it consumes, and the speed at which it can operate. Our starting ...
Since then many digital circuit design problems have been formulated as GPs ...
Dec 18, 2002 - gives a direct and unified way for computing best constants in geometric inequalities and the extremals .... with equality occurring whenever there exists ¯f (and Â¯Ï = Ï( ¯f)) that satisfies the first ...... 44, 4 (1991), 375 - 41
3 n is convex in Î A;. 4 h and d are affine in Î A. Proof. 1. Consider (y1,t1) â Î X and (y2,t2) â Î X. We want to prove that. (y1,t1) + µ((y2,t2) â (y1,t1)) â Î X âµ ...
Fractional Type Programming, Positive Semidefinite Symmetric Matrix. 1. Introduction ... ming problem involving twice differentiable functions. In [7], Zhang ...
Apr 10, 2014 - and duality in subdifferentiable multiobjective fractional pro- gramming,â Journal of Optimization Theory and Applications, vol. 79, no. 1, pp.
Keywords: Multiobjective Fractional Programming, Support Function, Duality, ... dual for nonlinear programming problems involving twice differentiable func-.
problems can be obtained by using the same perturbation theory. Furthermore, ... One of the works which deals with duality in geometric programming is the .... Applying the result from above to our problem, for v = qm+1,x = xi and w = ci â m.
Nov 13, 2018 - allowed deep neural generators to produce remarkable results for various tasks, including for ex- .... in order to find the best adversary for the fixed generator, the search space is ..... architecture and objective dependent, and can
design problem can be expressed as a special form of optimization problem
called ... CMOS op-amp design problem as a very special type of opti- mization ...
Email: [email protected]. AbstractâIn a fading broadcast channel (BC), Queue Propor- tional Scheduling (QPS) is presented via geometric programming.
Jun 24, 2014 - current distribution and a prior which serves as a regularizer. In particular the aggregat- ing algorithm uses the KL-divergence. We consider the ...
results we propose a new algorithm to directly solve the standard dual of a convex ..... Using now the indirect Lagrangian approach in Craven (1988), the following .... H ence, the root of the equation G(,,,,,) (A) = 0 given ... 150. A. I. BARROS. ET
Apr 6, 2016 - ratio, we express constraints that any feasible algorithm must satisfy as a parameterized primal .... slots, and buyers can submit slot dependent bids on keywords (their algorithm maintains the ...... Adwords and generalized.
Dec 12, 2013 - In this short note, we present a geometric proof for the duality theorem of ... The main object of study will be a convex body living in Rn: a closed.
Jul 28, 2016 - Gary W. Gibbonsa,b, Mikhail S. Volkovb,c. aDAMTP, University of .... 2 This is a member of the Fisher-Janis-Newman-Winicour solution family [21, 22]. The rest of this .... This reminds one of Alice observing the room behind the.
82 BERNARD CHAZELLEï¼ LE0 ç- GUé BAS AND D- T- LEE. Page 8. THE POWER 0F GEOMETRâ¦C DUALITY 83. Page 9. 84 BERNARD CHAZELLE, LEO J.
THE POWER OF GEOMETRXC DUALITY. BERNARD ... deseribe a clockwise {
oops We call this extension the two-sided plane (28?). One ean view this ...
Sep 13, 1978 - A detailed discussion of the applications, theory and computational aspects of ... The generalized theory of geometric programming [8] pairs the ...
/ . Austral. Math. Soc. 21 (Series B) (1980), 398^01
FRACTIONAL PROGRAMMING DUALITY VIA GEOMETRIC PROGRAMMING DUALITY
C. H. SCOTT and T. R. JEFFERSON (Received 13 September 1978) (Revised 15 March 1979)
Abstract A duality theory for a class of fractional programs is developed. A fractional program which is non-convex is convexified using a one-to-one transformation. The resulting convex equivalent is then dualized with generalized geometric programming duality.
1. Introduction
We consider the following fractional program: minimize g(x) = c(x)/f(x) over xe C
