NECULAI ANDREI Home Page.

Papers (all)

• N. Andrei, Eigenvalues versus singular values study in conjugate gradient algorithms for large-scale unconstrained optimization. Optimization Methods and Software, 2016. DOI: 10.1080/10556788.2016.1225211.
  [This paper is dedicated to Prof. Helmuth Schwarz, Duisburg-Essen University, Germany, on the occasion of his 85th birthday.]

• N. Andrei, An adaptive conjugate gradient algorithm for large-scale unconstrained optimization. Journal of Computational and Applied Mathematics, vol. 292, 2016, pp. 83-91.
• N. Andrei, A new three-term conjugate gradient algorithm for unconstrained optimization. Numerical Agorithms, vol. 68, issue 2, 2015, pp.305-321.

• N. Andrei, A numerical study on efficiency and robustness of some conjugate gradient algorithms for large-scale unconstrained optimization.
  Studies in Informatics and Control, vol. 22, Issue 4, December 2013, pp.259-284. (SIC)

• N. Andrei, An accelerated subspace minimization three-term conjugate gradient algorithm for unconstrained optimization. Numerical Algorithms. vol. 65, issue 4, 2014, pp.859-874.

• N. Andrei, Another conjugate gradient algorithm with guaranteed descent and conjugacy conditions for large-scale unconstrained optimization.
  Journal of Optimization Theory and Applications. vol. 159 (2013), pp.159-182. DOI 10.1007/s10957-013-0285-9 (2013)

• N. Andrei, On three-term conjugate gradient algorithms for unconstrained optimization.
  Applied Mathematics and Computation, vol. 210, Issue 11, 1 February 2013, pp.6316-6327.

• N. Andrei, A simple three-term conjugate gradient algorithm for unconstrained optimization.
  Journal of Computational and Applied Mathematics. vol. 241 (2013), pp. 19-29.
  [This paper is dedicated to the memory of Neculai Gheorghiu (1930–2009), my professor of Mathematical Analysis, Faculty of Mathematics, " Alexandru Ioan Cuza" University, Iasi, Romania.]

• N. Andrei, An accelerated subspace minimization three-term conjugate gradient algorithm for unconstrained optimization. Numerical Algorithms. (Accepted) (2013)

• N. Andrei, Another conjugate gradient algorithm with guaranteed descent and conjugacy conditions for large-scale unconstrained optimization.
  Journal of Optimization Theory and Applications. DOI 10.1007/s10957-013-0285-9 (2013)

• N. Andrei, On three-term conjugate gradient algorithms for unconstrained optimization.
  Applied Mathematics and Computation, vol. 210, Issue 11, 1 February 2013, pp.6316-6327.

• N. Andrei, A simple three-term conjugate gradient algorithm for unconstrained optimization.
  Journal of Computational and Applied Mathematics. vol. 241 (2013), pp. 19-29.
  [This paper is dedicated to the memory of Neculai Gheorghiu (1930–2009), my professor of Mathematical Analysis, Faculty of Mathematics, " Alexandru Ioan Cuza" University, Iasi, Romania.

• N. Andrei, New accelerated conjugate gradient algorithms as a modification of Dai-Yuan's computational scheme for unconstrained optimization.
  Journal of Computational and Applied Mathematics, 234 (2010), 3397-3410.

• N. Andrei, Open problems in conjugate gradient algorithms for unconstrained optimization.
  Bulletin of the Malaysian Mathematical Sciences Society, (2) 34 (2) (2011) pp.319-330.

• N. Andrei, On quadratic internal model principle in mathematical programming.
  Studies in Informatics and Control, vol. 18, No. 4, December 2009, pp.337-348.

• N. Andrei, Accelerated scaled memoryless BFGS preconditioned conjugate gradient algorithm for unconstrained optimization.
  European Journal of Operational Research, 204 (2010), pp.410-420.

• N. Andrei, Determinarea coordonatelor tintelor aeriene utilizand noduri de detectie.
  Revista Romana de Informatica si Automatica, vol. 19, nr.2, 2009, pp.51-60.

• N. Andrei, Accelerated conjugate gradient algorithm with modified secant condition for unconstrained optimization.

  Studies in Informatics and Control, vol. 18, No. 3, September 2009, pp.211-232.

• N. Andrei, Accelerated hybrid conjugate gradient algorithm with modified secant condition for unconstrained optimization.
  Numerical Algorithms, 54 (2010), pp.23-46.

• N. Andrei, Accelerated conjugate gradient algorithm with finite difference Hessian/vector product approximation for unconstrained optimization.
  Journal of Computational and Applied Mathematics. 230 (2009) 570-582. (JCAM)

• N. Andrei, Acceleration of conjugate gradient algorithms for unconstrained optimization.
  Applied Mathematics and Computation. Volume 213, Issue 2, 15 July 2009, Pages 361-369. (AMC)

• N. Andrei, Probleme deschise în algoritmii de gradient conjugat pentru optimizare fara restrictii. Centenar Eduard Stiefel (1909-1978).
  Revista Romana de Informatica si Automatica, vol. 19, no. 1, 2009, pp.5-14.

• N. Andrei, Another nonlinear conjugate gradient algorithm for unconstrained optimization.
  Optimization Methods and Software (OMS). vol. 24, no. 1, February 2009, pp.89-104. DOI

• N. Andrei, Hybrid conjugate gradient algorithm for unconstrained optimization.
  Journal of Optimization Theory and Applications (JOTA). vol. 141, No. 2, May 2009, pp. 249-264.

• N. Andrei, New hybrid conjugate gradient algorithms for unconstrained optimization.
  Encyclopedia of Optimization, Second Edition, 2009, C.A. Floudas and P. Pardalos (Eds.). Vol. N. pp.2560-2571.

• N. Andrei, Performance profiles of conjugate gradient algorithms for unconstrained optimization.
  Encyclopedia of Optimization, Second Edition, 2009, C.A. Floudas and P. Pardalos (Eds.). Vol. P. pp.2938-2953.

• N. Andrei, Teorema Noether si fundamentele modelarii matematice.
  Revista Romana de Informatica si Automatica, vol. 18, nr. 4, 2008, pp.11-22.

• N. Andrei, Another conjugate gradient algorithm for unconstrained optimization.
  Annals of Academy of Romanian Scientists, Series on Science and Technology of Information, vol. 1, nr. 1, 2008, pp.7-20.

• N. Andrei, A hybrid conjugate gradient algorithm for unconstrained optimization as a convex combination of Hestenes-Stiefel and Dai-Yuan.
  Studies in Informatics and Control, vol.17, no.1, March 2008, pp. 55-70.

• N. Andrei, A Dai-Yuan conjugate gradient algorithm with sufficient descent and conjugacy condition for unconstrained optimization .

  AML - Applied Mathematics Letters. Volume 21, Issue 2, February 2008, Pages 165-171. DOI

• N. Andrei,  Another hybrid conjugate gradient algorithm for unconstrained optimization .
  Numerical Algorithms, 47 (2008), pp. 143-156 

• N. Andrei, Numerical comparison of conjugate gradient algorithms for unconstrained optimization.
Studies in Informatics and Control, vol.16, no.4, December 2007, pp.333-352.

• N. Andrei, Conjugate Gradient Algorithms for Molecular Formation under pairwise Potential Minimization.
  Mathematical Modeling of Environmental and Life Sciences Problems. Proceedings of the 5th Workshop, September 2006, Constantza, Romania. Editura Academiei Romane, 2008, pp.7-26.

• N. Andrei,
  A scaled nonlinear conjugate gradient algorithm for unconstrained optimization.
  Optimization, Vol. 57, No. 4, August 2008, pp.549-570

• N. Andrei,
  Scaled memoryless BFGS preconditioned conjugate gradient algorithm for Unconstrained Optimization.
  OMS - Optimization Methods and Software, Volume 22, Number 4, August 2007, pp.561-571, DOI
  Numerical results for SCALCG.
  Numerical results for SCG.
  Numerical results for Polak-Ribiere (PR).
  Numerical results for CG_DESCENT (W).
  Numerical results for CG_DESCENT (aW).

• N. Andrei,
  A Scaled BFGS preconditioned conjugate gradient algorithm for Unconstrained Optimization.
  AML - Applied Mathematics Letters, 20 (2007), pp.645-650.
  Unconstrained Optimization Test Functions. Algebraic expression
  Fortran expression of test functions and their gradients
  Numerical results for SCALCG - spectral, Powell restart, stoptest=1
  Numercal results for SCG (Birgin-Martinez) - spectral, Powell restart, stoptest=1
  Numerical results for Polak-Ribiere-Polyak - spectral, Powell restart, stoptest=1

• N. Andrei,
  Scaled conjugate gradient algorithms for Unconstrained Optimization.
  Computational Optimization and Applications, vol.38, no. 3, December 2007, pp.401-416

  DOI

• N. Andrei
  Metamorfozele stiintei.
  Revista Romana de Informatica si Automatica, vol. 17, nr. 3, 2007, pp.25-34.

• N. Andrei
  Optimizarea functionarii unui sistem de lacuri.
  Revista Romana de Informatica si Automatica, vol. 17, nr. 1, 2007, pp.5-10.

• N. Andrei,
  An acceleration of gradient descent algorithm with backtracking for Unconstrained Optimization.
  Numerical Algorithms, volume 42, number 1, May 2006, pp.63-73.
  DOI

• N. Andrei,
  Modern Control Theory - A historical perspective.
  Studies in Informatics and Control, vol.10, no.1, March 2006, pp.51-62.

• N. Andrei,
  Performance of Conjugate Gradient Algorithms on some MINPACK-2 Unconstrained Optimization Applications.
  Studies in Informatics and Control, vol.15, no.2, June 2006, pp.145-168.

• N. Andrei
  Modele de optimizare versus modele de simulare si econometrice.
  Revista Romana de Informatica si Automatica, vol. 16, nr. 3, 2006, pp.5-12.

• N. Andrei
  Model de crestere economica Ramsey.
  Revista Romana de Informatica si Automatica, vol. 16, nr. 2, 2006, pp.15-20.

• N. Andrei
  Profesorul Moisil - Creatorul Informaticii in Romania.
  Revista Romana de Informatica si Automatica, vol. 16, nr. 1, 2006, pp.5-8.
  Also in "Grigore Moisil and his followers in the field of theoretical computer science",
  A. Iogulescu, S. Marcus, S. Rudeanu and D.Vaida (Eds.), Editura Academiei Romane,
  Bucuresti, 2007, pp.240-244.

• N. Andrei
  Optimizarea functionarii a doua rezervoare.
  Revista Romana de Informatica si Automatica, vol. 16, nr. 1, 2006, pp.15-18.

• N. Andrei,
  On the complexity of MINOS package for linear programming.
  Studies in Informatics and Control, vol.13, no.1, March 2004, pp.35-46.

• N. Andrei,
  An Interior Point Algorithm for Nonlinear Programming.

  Studies in Informatics and Control, vol.7, no.4, December 1998, pp.365-395.

• N. Andrei,
  Predictor-Corrector Interior-Point Methods for Linear Constrained Optimization.
  Studies in Informatics and Control, vol.7, no.2, June 1998, pp.155-177.

• N. Andrei, Ghe. Borcan
  ALLO - Limbaj algebric pentru optimizare liniara.
  Revista Romana de Informatica si Automatica, vol. 8, nr. 3, 1998, pp.55-67.

• N. Andrei,
  Penalty-Barrier algorithms for nonlinear optimization. Preliminary computational results.
  Studies in Informatics and Control, vol 7, no.1, March 1998, pp.15-36.

• N. Andrei, M. Barbulescu,
  Balance constrained reduction of large-scale linear programming problems.
  Annals of Operations Research, vol.43, 1993, pp.149-170.

• N. Andrei,
  Application of sparse matrix techniques in GRG algorithm for very large-scale non-linear programming.
  Rev. Roum. Sci. Techn.-Electrotechn. et Energ., vol.32, no.4, 1987, pp.457-464.

• N. Andrei,
  Application of sparse matrix techniques to the GRG algorithm for large-scale non-linear programming.
  Rev. Roum. Sci. Techn.-Electrotechn. et Energ., vol.30, no.2, 1985, pp.175-186.

• N. Andrei,
  Dynamic modeling of job–shop production scheduling.
  Computer Models for Production and Inventory Control, Simulation Series, vol.12, no.2.
  The Society for Computer Simulation, La Jolla, California, 1984, pp.23–44.

• N. Andrei,
  Sparse systems. Digraph exact disturbance rejection.
  Rev. Roum. Sci. Techn.–Electrotechn. et Energ., vol.28, no.4, 1983, pp.405–413.

• N. Andrei,
  Temporal decomposition algorithms for large–scale linear dynamic programming problems.
  Rev. Roum. Sci. Techn.–Electrotechn. et Energ., vol.28, no.1, 1983, pp.71–84.

• N. Andrei,
  A new computational solution to hierarchical control of the large–scale linear quadratic tracking problem.
  Rev. Roum. Sci. Techn.–Electrotechn. et Energ., vol.27, no.1, 1982, pp.139–152.

• N. Andrei,
  Nested decomposition of large-scale multi-stage linear programs.
  Rev. Roum. Sci. Techn.–Electrotechn. et Energ., vol.26, no.2, 1981, pp.291–303.

• N. Andrei,
  Nested decomposition of large-scale linear dynamic programming problems.
  Rev. Roum. Sci. Techn.–Electrotechn. et Energ., vol.26, no.1, 1981, pp.99–113.

• N. Andrei,
  A new computational solution to linear quadratic tracking problem.
  Rev. Roum. Sci. Techn.–Electrotechn. et Energ., vol.25, no.4, 1980, pp.579–589.

• N. Andrei,
  On compensator selection strategies in decentralized systems.
  Rev. Roum. Sci. Techn.–Electrotechn. et Energ., vol.24, no.4, 1979, pp.677–688.

• N. Andrei,
  Decentralization and hierarchy control of large-scale systems.
  Rev. Roum. Sci. Techn.–Electrotechn. et Energ., vol.23, no.4, 1978, pp.595–605.

• N. Andrei,
  On decentralized systems.
  Rev. Roum. Sci. Techn.-Electrotechn. et Energ., vol.21, no.4, 1976, pp.553–566.