1978
DOI: 10.1145/355769.355773
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Design and Testing of a Generalized Reduced Gradient Code for Nonlinear Programming

Abstract: Stanford.1-0 -P U niversity St anfordAppoved f r public r,,a sel California Dst ,ibution Unmit.

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Cited by 1,124 publications
(487 citation statements)
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“…[38] and need not be repeated. The effective index of refraction n ef f and absorption index k ef f that minimize δT +δR were determined using the generalized reduced gradient nonlinear optimization method [41]. Treating mesoporous thin films as homogeneous rests upon the assumption that EM wave scattering by the pores is negligible which prevails when the size parameter 2πD/λ is much smaller than unity where D is the pore diameter and λ is the wavelength [40].…”
Section: Retrieval Of Effective Complex Index Of Refractionmentioning
confidence: 99%
“…[38] and need not be repeated. The effective index of refraction n ef f and absorption index k ef f that minimize δT +δR were determined using the generalized reduced gradient nonlinear optimization method [41]. Treating mesoporous thin films as homogeneous rests upon the assumption that EM wave scattering by the pores is negligible which prevails when the size parameter 2πD/λ is much smaller than unity where D is the pore diameter and λ is the wavelength [40].…”
Section: Retrieval Of Effective Complex Index Of Refractionmentioning
confidence: 99%
“…El algoritmo seleccionado para la resolución del problema por el complemento 'Solver' ha sido el modelo no lineal denominado Gradiente Reducido Generalizado (GRG) en la versión GRG2 (Lasdon, Waren, Jain, & Ratner, 1978). El algoritmo GRG2 parte de una solución factible y, a partir de ese punto inicial, en cada iteración realiza un desplazamiento siguiendo una dirección a través de la región factible, de tal forma que el valor de la función objetivo mejore.…”
Section: Modelo De Simulación Y Optimización Del Sistemaunclassified
“…Simulation Results: The performance of the proposed iterative algorithm of deploying new small cells on top of the existing HetNet is evaluated through simulations in comparison with the solution obtained by numerically solving (6) using the method of exhaustion for optimizing user associations and using the generalized reduced gradient (GRG) method [6] for optimizing new small cells' locations; as well as the random deployment of new small cells following a homogeneous spatial Poisson point process (SPPP). In the simulation, two existing small cells are distributed in the coverage area of the macrocell following a homogeneous SPPP.…”
Section: : End Functionmentioning
confidence: 99%