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Algorithm 617: DAFNE: a differential-equations algorithm for nonlinear equations
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Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 10 ,  Issue 3  (September 1984) table of contents
Pages: 317 - 324  
Year of Publication: 1984
ISSN:0098-3500
Authors
Filippo Aluffi-Pentini  Bari University
Valerio Parisi  Rome University
Francesco Zirilli  Camerino University
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 1,   Downloads (12 Months): 21,   Citation Count: 3
Additional Information:

appendices and supplements   references   cited by   index terms   collaborative colleagues  

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DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/1271.1632
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APPENDICES and SUPPLEMENTS
gZipDAFNE (617.gz) (27 KB)
nonlinear systems based on the numerical solution of a Cauchy problem for a system of ordinary differential equations inspired by classical mechanics
Gams: F2


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

1
Filippo Aluffi-Pentini , Valerio Parisi , Francesco Zirilli, A differential-equations algorithm for nonlinear equations, ACM Transactions on Mathematical Software (TOMS), v.10 n.3, p.299-316, Sept. 1984  [doi>10.1145/1271.1631]
 
2
DENNIS, J., AND SCHNABEL, B. Quasi-Newton Methods for Unconstrained Problems. Prentice-Hall, Englewood Cliffs, N.J., 1983.
 
3
RYDER, B.G., AND HALL, A.D. The PFORT Verifier. Computing Science Tech. Rep. 12. IT&T Bell Laboratories, Murray Hill, N.J., Jan. 1981.
 
4
TIKHONOV, A., AND ARSENIN, V. M~thodes de R~solution de Problemes Mal Pos~s. Editions MIR, Moscow. 1976.

CITED BY  3
Filippo Aluffi-Pentini , Valerio Parisi , Francesco Zirilli, A global optimization algorithm using stochastic differential equations, ACM Transactions on Mathematical Software (TOMS), v.14 n.4, p.345-365, Dec. 1988
Xinyuan Wu , Jianlin Xia , Zixiang Ouyang, Note on global convergence of ODE methods for unconstrained optimization, Applied Mathematics and Computation, v.125 n.2-3, p.311-315, 25 January 2002
Li-Zhi Liao , Houduo Qi , Liqun Qi, Neurodynamical Optimization, Journal of Global Optimization, v.28 n.2, p.175-195, February 2004

INDEX TERMS

Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.5 Roots of Nonlinear Equations
          Subjects: Iterative methods
  G.4 MATHEMATICAL SOFTWARE
      Subjects: Algorithm design and analysis; Certification and testing


General Terms:
Algorithms, Verification

Collaborative Colleagues:
Filippo Aluffi-Pentini: colleagues
Valerio Parisi: colleagues
Francesco Zirilli: colleagues

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