Papers

NECULAI ANDREI Home Page

Manuscripts

N. Andrei, Donatia lucrarii: Nonlinear Conjugate Gradient Methods for Unconstrained Optimization. January 6, 2021
N. Andrei, Lucrãri donate Bibliotecii Centrale Universitare "Carol I" - Bucuresti. January 3, 2021
N. Andrei, Lucrãri donate Bibliotecii Academiei Române. January 2, 2021
N. Andrei, Scrisoare de donatie a cartii: Nonlinear Conjugate Gradient Methods for Unconstrained Optimization, SOIA vol. 185, catre BCU - Bucuresti. August 5, 2020
N. Andrei, Scrisoare de donatie a patru carti catre, Institutul de Calcul “Tiberiu Popovici” al Academiei Române, Cluj-Napoca, (Dl. Mihai Georgia). Martie 3, 2020
N. Andrei, Quadratic Local Convergence of the Newton Method. January 10, 2020
N. Andrei, Metoda quasi-Newton diagonalã bazatã pe minimizarea functiei Byrd-Nocedal pentru optimizare fãrã restrictii. Octombrie 20, 2018
N. Andrei, Gala Premiilor MLNR ediþia 8-a. 21 iunie 2018.. Iunie 21, 2018
N. Andrei, Continuous Nonlinear Optimization for Engineering Applications in GAMS Technology. Product Flyer 2017
N. Andrei, A scaled BFGS method with two parameters for unconstrained optimization. May 5, 2017
N. Andrei, Optimality conditions for continuous nonlinear optimization. January 12, 2016
N. Andrei, Carti donate cãtre Biblioteca Centralã Universitarã “Carol I” - Bucuresti. Iulie 10, 2015
N. Andrei, An adaptive conjugate gradient algorithm for large-scale unconstrained optimization. September 15, 2014
N. Andrei, Solving 8 applications with FILTER-SD. June 12, 2014
N. Andrei, A numerical study on efficiency and robustness of some conjugate gradient algorithms for large-scale unconstrained optimization. May 22, 2013
N. Andrei, Performance of AHYBRIDM, ASCALCG, CG-DESCENT, DESCON and THREECG for solving 5 applications from MINPACK-2. April 13, 2013
N. Andrei, Another numerical example for CG_DESCENT conjugate gradient algorithm. January 4, 2013
N. Andrei, A numerical example for CG_DESCENT conjugate gradient algorithm. November 15, 2012
N. Andrei, DESCON versus CG-DESCENT for solving 5 applications from MINPACK2, September 13, 2012
N. Andrei, The Quadrupled Rational Interpretation of Divinity. June 28, 2011
N. Andrei, Impatrita interpretare rationala a Divinitatii, June 8, 2011
N. Andrei, Prof.Dr.ing. Vlad Stefãnita Ionescu - 2010.
N. Andrei, MINPACK2 applications solved by DESCON, November 25, 2010
N. Andrei, SPG Program - Broyden Tridiagonal function, August 17, 2010
N. Andrei, SPG Program - Extended Penalty function, August 17, 2010
N. Andrei, SPG Program - Freudenstein & Roth function. August 17, 2010
N. Andrei, Despre Modelarea Matematica. Conceptia simetriei de interpretare rationala a Divinitatii. August 2, 2010
N. Andrei, Splitarea coloanelor dense, July 20, 2010
N. Andrei, Studiu numeric. Comparatie intre MINOS si HOPDM, July 19, 2010
N. Andrei, Profesorul Ion Creanga, April 6, 2010
N. Andrei, Pendulul conic, January 19, 2010
N. Andrei, Pendulul invers rotativ , January 18, 2010
N. Andrei, Pozitia bipeda, January 13, 2010
N. Andrei. Pendulul invers dublu, January 11, 2010
N. Andrei, MINPACK2 applications solved by ACGSYS, November 24,2009
N. Andrei, Eseu asupra mortii si invierii. June 15, 2009
N. Andrei, The Pre-eminence of Existence versus the Pre-eminence of Mathematics, November 2, 2009
N. Andrei, Comparison: CONMIN, CG-DESCENT, CG FAM and DLDC on inviscid and viscid parabolized Navier-Stokes equation given by Prof. I.M. Navon and Prof. J. Steward, Florida State University. September 29, 2009
N. Andrei, Comparison ASCALCG, CG+ and CONMIN. July 31, 2009
N. Andrei, Performance of DLDC conjugate gradient algorithm on MINPACK2 applications. July 21, 2009
N. Andrei, Performance of DLDC on MINPACK2 applications with 1000000 variables. July 14, 2009
N. Andrei, Comparison between DLDC and CG_DESCENT conjugate gradient algorithms. July 7, 2009
N. Andrei, Comparison between HYBRID and AHYBRIDM conjugate gradient algorithms. July 1, 2009
N. Andrei, Metode de cautare directa - Algoritmi si studii numerice. Mai 25, 2009
N. Andrei, On quadratic internal model principle in mathematical programming. May 15, 2009
N. Andrei, Aspecte ale evolutiei filosofiei si a stiintei. Mai 4, 2009
N. Andrei, Momente in istoria mecanicii. Aprilie 29, 2009
N. Andrei, Modele matematice in mecanica. (O noua versiune) Aprilie 27, 2009
N. Andrei, Determinarea coordonatelor tintelor aeriene utilizand noduri de detectie. Aprilie 24, 2009
N. Andrei, Quadratic internal model principle in mathematical programming. April 23, 2009 (EUROPT - Newsletter 16, August 2009, pp.13-17)
N. Andrei, Primatul existentei versus primatul matematicii. Aprilie 3, 2009
N. Andrei, Minimal Surface Area Problem. 25 conjugate gradient algorithms. Comparison between conjugate gradient algorithms and their accelerated variants. April 2, 2009
N. Andrei, Steady State Combustion Problem. 25 conjugate gradient algorithms. Comparison between conjugate gradient algorithms and their accelerated variants. April 1, 2009
N. Andrei, Optimal Design with Composite Materials Problem. 25 conjugate gradient algorithms. Comparison between conjugate gradient algorithms and their accelerated variants. April 1, 2009
N. Andrei, Pressure Distribution Problem. 25 conjugate gradient algorithms. Comparison between conjugate gradient algorithms and their accelerated variants. April 1, 2009
N. Andrei, Elastic-Plastic Torsion Problem. 25 conjugate gradient algorithms. Comparison between conjugate gradient algorithms and their accelerated variants. April 1, 2009
N. Andrei, Comparison of NDOMB, NDOMBACC and CCOMB, CCOMBACC conjugate gradient algorithms. April 1, 2009
N. Andrei, Comparison of ACGSD and ACGSDACC conjugate gradient algorithms. March 31, 2009
N. Andrei, NOTA. Martie 31, 2009
N. Andrei, New accelerated conjugate gradient algorithms as modification of Dai-Yuan's computational scheme for unconstrained optimization. February 3, 2009
N. Andrei, Probleme deschise in algoritmii de gradient conjugat pentru optimizare fara restrictii. Centenar Eduard Stiefel (1909-1978). Ianuarie 30, 2009
N. Andrei, Eduard Stiefel's birthday centenary. (see also: Newsletter 14 of EUROPT, pp.21-22) January 29, 2009
N. Andrei, Computational experience with ACGSD for solving some MINPACK2 applications with 10^6 variables. January 19, 2009
N. Andrei, Computational experience with CG_DESCENT for solving some MINPACK2 applications with 10^6 variables. January 19, 2009
N. Andrei, Computational experience with ACGSYS for solving some MINPACK2 applications up to 10^6 variables. January 17, 2009
N. Andrei, Computational experience with AHYBRIDM for solving some MINPACK2 applications up to 10^6 variables. January 16, 2009
N. Andrei, Computational experience with ASCALCG, ACGSYS, AHYBRIDM and ACGMSECM for solving some MINPACK2 applications with 10^6 variables. January 14, 2009
N. Andrei, Computational experience with TN and LBFGS. January 9, 2009
N. Andrei, Computational experience with conjugate gradient algorithms: CONMIN, CG_DESCENT, SCALCG, ASCALCG, ACGMSEC, ACGHES, AHYBRIDM, ACGSYS for solving MINPACK2 applications (40000 variables). January 9, 2009
N. Andrei, Numerical experiments with ACGSYS package for solving Elastic-Plastic Torsion Problem and Pressure Distribution in a Journal Bearing. January 5, 2009
N. Andrei, Comparison of ASCALCG versus CONMIN, CG_DESCENT, LBFGS and TN. July 22, 2008
N. Andrei, Probleme fundamentale. Iulie 10, 2008
N. Andrei, Teorema Noether si fundamentele modelarii matematice, Iunie 23, 2008
N. Andrei, Comparison of AHYBRIDM, HYBRIDM and HYBRID conjugate gradient algorithms. April 8, 2008
N. Andrei, Comparison of ASCALCG, SCALCG and CONMIN conjugate gradient algorithms. April 1, 2008.
N. Andrei, Metoda gradientului conjugat pentru rezolvarea sistemelor algebrice liniare. (Capitolul 2 din lucrarea: "Metode Avansate de Gradient Conjugat"). March 31, 2008.
N. Andrei, Accelerated scaled memoryless BFGS preconditioned conjugate gradient algorithm for unconstrained optimization. March 24, 2008.
N. Andrei, Comparison between ASCALCG and SCALCG conjugate gradient algorithms for solving Elastic-Plastic Torsion problem from MINPACK2 collection. March 20, 2008
N. Andrei, Comparison of ASCALCG and SCALCG conjugate gradient algorithms for solving large-scale unconstrained optimization problems. March 19, 2008
N. Andrei, 40 conjugate gradient algorithms for unconstrained optimization. A survey on their definition. March 14, 2008
N. Andrei, Performance profiles of line-search algorithms for unconstrained optimization. March 5, 2008
N. Andrei, Comparison of ASCALCG and SCALCG conjugate gradient algorithms. March 4, 2008
N. Andrei, Comparison of accelerated conjugate gradient algorithm with finite difference Hessian / vector product approximation ACGHES to TN, SCALCG and CONMIN. March 4, 2008
N. Andrei, Accelerated conjugate gradient algorithm with finite difference Hessian / vector product approximation for unconstrained optimization. March 4, 2008 (submitted)
N. Andrei, Computational results with ACGHES - Accelerated conjugate gradient algorithm with Hessian / vector product approximation for unconstrained optimization. March 3, 2008
N. Andrei, Computational results with ACGMSEC - Accelerated conjugate gradient algorithm with modified secant condition for unconstrained optimization (tau=0), March 3, 2008
N. Andrei, Computational results with ACGMSEC - Accelerated conjugate gradient algorithm with modified secant condition for unconstrained optimization (tau=10-7), March 3, 2008
N. Andrei, Accelerated conjugate gradient algorithm with modified secant condition for unconstrained optimization. March 3, 2008 .
N. Andrei, A hybrid conjugate gradient algorithm with modified secant condition for unconstrained optimization. February 6, 2008 .
N. Andrei, A hybrid conjugate gradient algorithm for unconstrained optimization as a convex combination of Hestenes-Stiefel and Dai-Yuan. January 14, 2008

N. Andrei, Applications solved by Levenberg-Marquardt method. January 10, 2007
N. Andrei, Solution of minimization problems from MINPACK2 collection by means of limited memory L-BFGS algorithm. February 8, 2007
N. Andrei, Applications solved by Levenberg-Marquardt method in implementation of LMDER package by Garbow, Hillstrom and More'. January 15, 2007
N. Andrei, Graphical reprezentation of the solutions of MINPACK2 applications. February 9, 2007
N. Andrei, New hybrid conjugate gradient algorithms as a convex combination of PRP and DY for unconstrained optimization. October 1, 2007
N. Andrei, Numerical comparison of conjugate gradient algorithms for unconstrained optrimization. October 10, 2007
N. Andrei, Another conjugate gradient algorithm for unconstrained optimization. August 12, 2007
N. Andrei, Performance profiles of line search algorithms for unconstrained optimization. October 1, 2007
N. Andrei, New hybrid conjugate gradient algorithms for unconstrained optimization. September 26, 2007
N. Andrei, Large scale unconstrained optimization MINPACK2 applications solved with "SCALCG". September 4, 2007
N. Andrei, Numerical experiments with CCOMB algorithm. February 24, 2007
N. Andrei, Dai-Yuan conjugate gradient numerical experiments. February 14, 2007
N. Andrei, Solving the minimization problems from MINPACK2 collection. February 9, 2007
N. Andrei, Metode de optimizare uni-dimensionala. Martie 21, 2007
N. Andrei, Acceleration of conjugate gradient algorithms for unconstrained optimization. October 24, 2007
N. Andrei, CGALL - performance profile of conjugate gradients algorithms. March 1, 2007
N. Andrei, Conjugate gradient formulae. February 28, 2007
N. Andrei, Ginzburg-Landau (1-dimensional) solved by SCALCG. December 6, 2006.
N. Andrei, Steady State Combustion solved by SCALCG. December 6, 2006.
N. Andrei, Optimal Design with Composite Materials solved by SCALCG. December 5, 2006.
N. Andrei, Pressure Distribution Problem solved by SCALCG. December 4, 2006.
N. Andrei, Elastic-Plastic Torsion Problem solved by SCALCG. December 4, 2006.
N. Andrei, Metoda Pasului Descendent. (Capitolul 5 din lucrarea: "Critica Ratiunii Algoritmilor de Optimizare Fara Restrictii", Editura Acedemiei Romane) August 30 - Noiembrie 24, 2006.
N. Andrei, Another nonlinear conjugate gradient algorithm with sufficient descent condition for unconstrained optimization. November 22, 2006
N. Andrei, Molecular formation problem. November 8, 2006.
N. Andrei, Fundamentele Metodei de Directii Descendente pentru Optimizare fara Restrictii. (Capitolul 4 din lucrarea: "Critica Ratiunii Algoritmilor de Optimizare Fara Restrictii", Editura Academiei Romane) Iunie 12 - Noiembrie 23, 2006.
N. Andrei, Rezolvarea unor aplicatii din colectia MINPACK-2 utilizand algoritmi de gradient conjugat. Octombrie 16, 2006.
N. Andrei, Modele matematice in mecanica. January 1, 2006.
N. Andrei, Asupra Fundamentelor Informaticii. November 11, 2005.
N. Andrei, Conjugate Direction Methods for Systems of Linear Algebraic Equations. August 22, 2005.
N. Andrei, Convex functions. June 15, 2005.
N. Andrei, Nonlinear conjugate gradient algorithms with modified secant condition. November 22, 2005.
N. Andrei, Asupra Fundamentelor Informaticii. Noiembrie 11, 2005.
N. Andrei, Scaled Memoryless BFGS Preconditioned Conjugate Gradient Algorithm for Unconstrained Optimization. September 8, 2005.
N. Andrei, Conjugate Direction Methods for Systems of Linear Algebraic Equations. August 22, 2005.
N. Andrei, SCALCG: A Nonlinear Scaled Conjugate Gradient Algorithm for Unconstrained Optimization. June 28, 2005.
N. Andrei, Convex Functions. June 15, 2005
N. Andrei, Unconstrained Optimization Test Functions. April 28, 2005
N. Andrei, Profesorul Moisil - creatorul informaticii in Romania. Aprilie 25, 2005
N. Andrei, A new gradient descent method with an anticipative scalar approximation of Hessian for unconstrained optimization. March 25, 2005
N. Andrei, Convergence of Newton method for solving nonlinear systems. December 6, 2004.
N. Andrei, Scaled Conjugate Gradient Algorithms for Unconstrained Optimization. November 29, 2004.
N. Andrei, Gradient Flow Method for Nonlinear Least Squares Minimization. July 5, 2004
N. Andrei, Gradient Flow Algorithm for Systems of Nonlinear Equations. June 2, 2004.
N. Andrei, A New Gradient Descent Method for Unconstrained Optimization. April 8, 2004
N. Andrei, Relaxed Gradient Descent and a New Gradient Descent Methods for Unconstrained Optimization. July 30, 2004
N. Andrei, Gradient Flow Algorithm for Unconstrained Optimization. March 4, 2004.
N. Andrei, Poze 1973-1983.

Neculai Andrei, August, 2010