SPG: Software for Convex-Constrained Optimization

نویسندگان

  • Ernesto G. Birgin
  • M. Raydan
چکیده

Fortran 77 software implementing the SPG method is introduced. SPG is a nonmonotone projected gradient algorithm for solving largescale convex-constrained optimization problems. It combines the classical projected gradient method with the spectral gradient choice of steplength and a nonmonotone line search strategy. The user provides objective function and gradient values, and projections onto the feasible set. Implementation details are presented and the usage of the software is described. Some recent numerical tests are reported on very large location problems. The main conclusion is that SPG compares favorably with existing software.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Inexact Spectral Projected Gradient Methods on Convex Sets

A new method is introduced for large scale convex constrained optimization. The general model algorithm involves, at each iteration, the approximate minimization of a convex quadratic on the feasible set of the original problem and global convergence is obtained by means of nonmonotone line searches. A specific algorithm, the Inexact Spectral Projected Gradient method (ISPG), is implemented usi...

متن کامل

Estimating the Parameters in Photovoltaic Modules: A Constrained Optimization Approach

This paper presents a novel identification technique for estimation of unknown parameters in photovoltaic (PV) systems. A single diode model is considered for the PV system, which consists of five unknown parameters. Using information of standard test condition (STC), three unknown parameters are written as functions of the other two parameters in a reduced model. An objective function and ...

متن کامل

Solving a non-convex non-linear optimization problem constrained by fuzzy relational equations and Sugeno-Weber family of t-norms

Sugeno-Weber family of t-norms and t-conorms is one of the most applied one in various fuzzy modelling problems. This family of t-norms and t-conorms was suggested by Weber for modeling intersection and union of fuzzy sets. Also, the t-conorms were suggested as addition rules by Sugeno for so-called  $lambda$–fuzzy measures. In this paper, we study a nonlinear optimization problem where the fea...

متن کامل

The KKT optimality conditions for constrained programming problem with generalized convex fuzzy mappings

The aim of present paper is to study a constrained programming with generalized $alpha-$univex fuzzy mappings. In this paper we introduce the concepts of $alpha-$univex, $alpha-$preunivex, pseudo $alpha-$univex and $alpha-$unicave fuzzy mappings, and we discover that $alpha-$univex fuzzy mappings are more general than univex fuzzy mappings. Then, we discuss the relationships of generalized $alp...

متن کامل

Smoothing Projected Gradient Method and Its Application to Stochastic Linear Complementarity Problems

A smoothing projected gradient (SPG) method is proposed for the minimization problem on a closed convex set, where the objective function is locally Lipschitz continuous but nonconvex, nondifferentiable. We show that any accumulation point generated by the SPG method is a stationary point associated with the smoothing function used in the method, which is a Clarke stationary point in many appli...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001