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NSOIA

swMATH ID: 36301
Software Authors: Powell, M. J. D.
Description: A Fortran subroutine for solving systems of nonlinear algebraic equations. A Fortran subroutine is described and listed for solving a system of non-linear algebraic equations. The method used to obtain the solution to the equations is a compromise between the Newton-Raphson algorithm and the method of steepest descents applied to minimize the function noted, for the aim is to combine a fast rate of convergence with steady progress. Some examples illustrate the technique, and they indicate that the given algorithm compares favorable with other numerical methods for solving non-linear equations. .. The name of the subroutine and its parameters are: SUBROUTINE NS01A (N,X,F,AJINV,DSTEP,DMAX,AOC,MAXFUN,IPRINT,W)
Homepage: https://www.osti.gov/servlets/purl/4772677
Dependencies: Fortran
Related Software: Matlab; minpack; L-BFGS; Anderson; MSS; GQTPAR; SifDec; CUTEr; Ode15s; MATLAB ODE suite; ode23s; ode113; ode45; ode23; kirch; SCPACK; k-Wave; CoDoSol; VESTA toolkit; Mutation++
Cited in: 41 Publications

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
A Fortran subroutine for solving systems of nonlinear algebraic equations. Zbl 0245.65024
Powell, M. J. D.
1970
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Cited by 80 Authors

2 Elcrat, Alan R.
2 Erway, Jennifer B.
2 Marcia, Roummel F.
1 Akella, Srinivas
1 Alexander, N. A.
1 Bassanini, Piero
1 Beeram, Harish
1 Best, Gabriela
1 Bierlaire, Michel
1 Boland, W. Robert
1 Bouda, Martin
1 Bristeau, Marie-Odile
1 Brodersen, Craig R.
1 Chazot, Olivier
1 Chen, Chunguang
1 Chen, Xiao
1 Cox, Ben T.
1 Demange, Simon
1 Dennis, John E. jun.
1 Desmet, Wim
1 Du, Xiaoping
1 Fang, Ning
1 Fang, Xiaowei
1 Fukushima, Masao
1 Gilsing, Hagen
1 Glowinski, Roland
1 Gokbayrak, Kagan
1 Golden, Bruce L.
1 Gorczyca, Mateusz
1 Gremaud, Pierre-Alain
1 Gunzburger, Max D.
1 Guo, Jia
1 Hattori, Harumi
1 Heinzle, Elmar
1 Hernández, Janko
1 Hoy, Annegret
1 Iaccarino, Gianluca
1 Janiak, Adam
1 Ji, Hangjie
1 la Cruz, William
1 Li, Longfei
1 Liu, Ching-Sung
1 Lucka, Felix
1 Luo, Xinlong
1 Matthews, John V.
1 Mei, H. H. W.
1 Navon, Ionel Michael
1 Ni, Qin
1 Nordström, Jan
1 O’Malley, Meghan
1 Osorio, Carolina
1 Owens, Robert G.
1 Papakonstantinou, Joanna M.
1 Peherstorfer, Benjamin
1 Périaux, Jacques F.
1 Perrier, Pierre C.
1 Pettersson, Per
1 Pironneau, Olivier
1 Powell, Michael James David
1 Powers, M. Walton
1 Sagara, Nobuko
1 Saiers, James
1 Saunders, David Claude
1 Sayed Hassen, S. Z.
1 Schwetlick, Hubert
1 Seco, Luis Angel
1 Seelig, Friedrich Franz
1 Selvi, Omer
1 Shardlow, Tony
1 Shterenlikht, Anton
1 Tapia, Richard A.
1 Trefethen, Lloyd Nicholas
1 Vandepitte, Dirk
1 Vanmaele, Caroline
1 Wasil, Edward A.
1 Willcox, Karen E.
1 Wittmann, Christoph
1 Yang, Tae Hoon
1 Yuan, Ya-xiang
1 Zeng, Meilan
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Cited in 28 Serials

5 Journal of Computational and Applied Mathematics
3 Computer Methods in Applied Mechanics and Engineering
3 European Journal of Operational Research
2 Journal of Computational Physics
2 Journal of Fluid Mechanics
2 Journal of the Mechanics and Physics of Solids
2 Computers & Operations Research
1 International Journal for Numerical Methods in Fluids
1 Inverse Problems
1 Journal of Mathematical Biology
1 Mathematical Biosciences
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 ACM Transactions on Mathematical Software
1 Applied Mathematics and Computation
1 Journal of Optimization Theory and Applications
1 Applied Numerical Mathematics
1 Journal of Economic Dynamics & Control
1 Journal of Scientific Computing
1 Applied Mathematical Modelling
1 Linear Algebra and its Applications
1 SIAM Review
1 Mathematical Programming. Series A. Series B
1 Optimization Methods & Software
1 Structural and Multidisciplinary Optimization
1 Computational Biology and Chemistry
1 Journal of Theoretical Biology
1 Bulletin of Computational Applied Mathematics
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Cited in 15 Fields

21 Numerical analysis (65-XX)
9 Operations research, mathematical programming (90-XX)
8 Fluid mechanics (76-XX)
6 Mechanics of deformable solids (74-XX)
6 Biology and other natural sciences (92-XX)
3 Partial differential equations (35-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Probability theory and stochastic processes (60-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Functions of a complex variable (30-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Geophysics (86-XX)

Citations by Year