Notes on optimization software This paper is an attempt to indicate the current state of optimization software and the search directions which should be considered in the near future. There are two parts of this paper. In the first part I discuss some of the issues that are relevant to the development of general optimization software. I have tried to focus on those issues which do not seem to have received sufficient attention and which would significantly benefit from further research. In addition, I have chosen issues that are particularly relevant to the development of software for optimization libraries. In the second part I illustrate some of the points raised in the first part by discussing algorithms for unconstrained optimization. Because the discussion in this part is brief, the interested reader may want to consult other papers in this volume for further information. In both parts my comments are influenced by my involvement in the MINPACK project and by my experiences in the development of MINPACK-1 [cf. the author, B. S. Garbow and K. E. Hillstrom, ACM Trans. Math. Software 7, 17-41 (1981; Zbl 0454.65049)]. (Source: http://plato.asu.edu)

References in zbMATH (referenced in 520 articles , 2 standard articles )

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  1. Amini, Keyvan; Rostami, Faramarz: Three-steps modified Levenberg-Marquardt method with a new line search for systems of nonlinear equations (2016)
  2. Bueno, L.F.; Haeser, G.; Martínez, J.M.: An inexact restoration approach to optimization problems with multiobjective constraints under weighted-sum scalarization (2016)
  3. Das, Sonjoy; Chakravarty, Sourish: Predictive algorithm for detection of microcracks from macroscale observables (2016)
  4. Esmaeili, Hamid; Kimiaei, Morteza: A trust-region method with improved adaptive radius for systems of nonlinear equations (2016)
  5. Ni, Qin; Jiang, Cui; Liu, Hao: A new direct search method based on separable fractional interpolation model (2016)
  6. Steihaug, Trond; Suleiman, Sara: On the final steps of Newton and higher order methods (2016)
  7. Yuan, Gonglin; Meng, Zehong; Li, Yong: A modified Hestenes and Stiefel conjugate gradient algorithm for large-scale nonsmooth minimizations and nonlinear equations (2016)
  8. Yuan, Liu-yang; Wan, Zhong-ping; Tang, Qiu-hua; Zheng, Yue: A class of parameter-free filled functions for box-constrained system of nonlinear equations (2016)
  9. Zeng, Meilan; Zhou, Guanghui: A trust region spectral method for large-scale systems of nonlinear equations (2016)
  10. Zhu, Jiamin; Treĺat, Emmanuel; Cerf, Max: Minimum time control of the rocket attitude reorientation associated with orbit dynamics (2016)
  11. Amini, Keyvan; Rostami, Faramarz: A modified two steps Levenberg-Marquardt method for nonlinear equations (2015)
  12. Bonnard, Bernard; Claeys, Mathieu; Cots, Olivier; Martinon, Pierre: Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance (2015)
  13. Ciccazzo, Angelo; Latorre, Vittorio; Liuzzi, Giampaolo; Lucidi, Stefano; Rinaldi, Francesco: Derivative-free robust optimization for circuit design (2015)
  14. Huang, Shuai; Wan, Zhong; Chen, Xiaohong: A new nonmonotone line search technique for unconstrained optimization (2015)
  15. Krejić, Nataša; Lužanin, Zorana; Nikolovski, Filip; Stojkovska, Irena: A nonmonotone line search method for noisy minimization (2015)
  16. Li, Wenyu; Yang, Yueting: A nonmonotone hybrid conjugate gradient method for unconstrained optimization (2015)
  17. Long, Qiang; Wu, Changzhi; Wang, Xiangyu: A system of nonsmooth equations solver based upon subgradient method (2015)
  18. Mantica, Giorgio: Orthogonal polynomials of equilibrium measures supported on Cantor sets (2015)
  19. Nobili, Andrea; Tarantino, Angelo: Pseudo-spectral methods in one-dimensional magnetostriction (2015)
  20. Peyghami, M.Reza; Tarzanagh, D.Ataee: A relaxed nonmonotone adaptive trust region method for solving unconstrained optimization problems (2015)

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