Filtrane

FILTRANE, a Fortran 95 filter-trust-region package for solving nonlinear least-squares and nonlinear feasibility problems FILTRANE, a new Fortran 95 package for finding vectors satisfying general sets of nonlinear equations and/or inequalities, is presented. Several algorithmic variants are discussed and extensively compared on a set of CUTEr test problems, indicating that the default variant is both reliable and efficient. This discussion provides a first experimental study of the parameters inherent in filter algorithms. (Source: http://plato.asu.edu)

This software is also peer reviewed by journal TOMS.


References in zbMATH (referenced in 16 articles )

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  1. Chen, Xiaojun; Toint, Ph. L.; Wang, H.: Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities (2019)
  2. Hiermeier, Michael; Wall, Wolfgang A.; Popp, Alexander: A truly variationally consistent and symmetric mortar-based contact formulation for finite deformation solid mechanics (2018)
  3. Chen, Jinhai; Vuik, Cornelis: Globalization technique for projected Newton-Krylov methods (2017)
  4. Saeidian, Z.; Reza Peyghami, M.; Habibi, M.; Ghasemi, S.: A new trust-region method for solving systems of equalities and inequalities (2017)
  5. Gonçalves, Douglas S.; Santos, Sandra A.: Local analysis of a spectral correction for the Gauss-Newton model applied to quadratic residual problems (2016)
  6. Tarzanagh, D. Ataee; Saeidian, Z.; Peyghami, M. Reza; Mesgarani, H.: A new trust region method for solving least-square transformation of system of equalities and inequalities (2015)
  7. Morini, Benedetta; Porcelli, Margherita: TRESNEI, a MATLAB trust-region solver for systems of nonlinear equalities and inequalities (2012)
  8. Macconi, Maria; Morini, Benedetta; Porcelli, Margherita: Trust-region quadratic methods for nonlinear systems of mixed equalities and inequalities (2009)
  9. Macconi, Maria; Morini, Benedetta; Porcelli, Margherita: A Gauss-Newton method for solving bound-constrained underdetermined nonlinear systems (2009)
  10. Ou, Yi-Gui: A filter trust region method for solving semi-infinite programming problems (2009)
  11. Sainvitu, Caroline: How much do approximate derivatives hurt filter methods? (2009)
  12. Shen, Chungen; Xue, Wenjuan; Pu, Dingguo: A globally convergent trust region multidimensional filter SQP algorithm for nonlinear programming (2009)
  13. Shen, Chungen; Xue, Wenjuan; Pu, Dingguo: Global convergence of a tri-dimensional filter SQP algorithm based on the line search method (2009)
  14. Yuan, Yaxiang: Subspace methods for large scale nonlinear equations and nonlinear least squares (2009)
  15. Gould, Nicholas I. M.; Toint, Philippe L.: FILTRANE, a fortran 95 filter-trust-region package for solving nonlinear least-squares and nonlinear feasibility problems. (2007) ioport
  16. Sainvitu, Caroline; Toint, Philippe L.: A filter-trust-region method for simple-bound constrained optimization (2007)