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 547 articles , 2 standard articles )

Showing results 1 to 20 of 547.
Sorted by year (citations)

1 2 3 ... 26 27 28 next

  1. Bao, Ji-Feng; Li, Chong; Shen, Wei-Ping; Yao, Jen-Chih; Guu, Sy-Ming: Approximate Gauss-Newton methods for solving underdetermined nonlinear least squares problems (2017)
  2. Fan, Bin: A nonmonotone Levenberg-Marquardt method for nonlinear complementarity problems under local error bound (2017)
  3. Fang, Xiaowei; Ni, Qin: A frame-based conjugate gradients direct search method with radial basis function interpolation model (2017)
  4. Huang, Linghua: A quasi-Newton algorithm for large-scale nonlinear equations (2017)
  5. Puranik, Yash; Sahinidis, Nikolaos V.: Bounds tightening based on optimality conditions for nonconvex box-constrained optimization (2017)
  6. Saeidian, Z.; Reza Peyghami, M.; Habibi, M.; Ghasemi, S.: A new trust-region method for solving systems of equalities and inequalities (2017)
  7. Zhao, Xin; Fan, Jinyan: On the multi-point Levenberg-Marquardt method for singular nonlinear equations (2017)
  8. Amini, Keyvan; Rostami, Faramarz: Three-steps modified Levenberg-Marquardt method with a new line search for systems of nonlinear equations (2016)
  9. Bueno, L.F.; Haeser, G.; Martínez, J.M.: An inexact restoration approach to optimization problems with multiobjective constraints under weighted-sum scalarization (2016)
  10. Chen, Liang: A modified Levenberg-Marquardt method with line search for nonlinear equations (2016)
  11. Das, Sonjoy; Chakravarty, Sourish: Predictive algorithm for detection of microcracks from macroscale observables (2016)
  12. Esmaeili, Hamid; Kimiaei, Morteza: A trust-region method with improved adaptive radius for systems of nonlinear equations (2016)
  13. Gouv^ea, Érica J.C.; Regis, Rommel G.; Soterroni, Aline C.; Scarabello, Marluce C.; Ramos, Fernando M.: Global optimization using $q$-gradients (2016)
  14. Kimiaei, Morteza; Esmaeili, Hamid: A trust-region approach with novel filter adaptive radius for system of nonlinear equations (2016)
  15. Leong, Wah June: A class of diagonal quasi-Newton methods for large-scale convex minimization (2016)
  16. Ni, Qin; Jiang, Cui; Liu, Hao: A new direct search method based on separable fractional interpolation model (2016)
  17. Sellami, B.; Chaib, Y.: A new family of globally convergent conjugate gradient methods (2016)
  18. Steihaug, Trond; Suleiman, Sara: On the final steps of Newton and higher order methods (2016)
  19. Yuan, Gonglin; Meng, Zehong; Li, Yong: A modified Hestenes and Stiefel conjugate gradient algorithm for large-scale nonsmooth minimizations and nonlinear equations (2016)
  20. 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)

1 2 3 ... 26 27 28 next