The numerical solution of bilinear data reconciliation problems using unconstrained optimization methods

Computers and Chemical Engineering

Volumn 22, Issue 9, 1998, Pages 1215-1228

  Schraa, Oliver J ^a   Crowe, Cameron M ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELING;

EID: 0032552245     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-1354(98)00025-8     Document Type: Article

References (11)

1. Armijo L. Minimization of functions having Lipschitz- continuous first partial derivatives. Pacific J. Math. 16:1966;1-3.
2. Crowe C.M. Reconciliation of process flow rates by matrix projection. II. The nonlinear case. A.I.Ch.E. J. 32:1986;616.
3. Crowe C.M. Observability and redundancy of process data for steady state reconciliation. Chem. Engng Sci. 44:1989;2909.
4. Crowe C.M. The maximum-power test for gross errors in the original constraints in data reconciliation. Can. J. Chem. Engng. 70:1992;1030-1036.
5. Crowe C.M., Garcia Compos Y.A., Hrymak A. Reconciliation of process flow rates by matrix projection. I. The linear case. A.I.Ch.E. J. 29:1983;881.
6. Dennis J. E. Jr., Schnabel R.B. Numerical Methods for Unconstrained Optimization and Nonlinear Equations. 1983;Prentice-Hall, Englewood Cliffs, NJ.
7. Goldstein A.A. Constructive Real Analysis. 1967;Harper & Row, New York.
8. Hodouin D., Everell M.D. A heirarchical procedure for adjustment and material balancing of mineral processes data. Int. J. Mineral Processing. 7:1980;91.
9. Schraa O. The numerical solution of bilinear data reconciliation problems using unconstrained optimization methods. M. Eng. Thesis. 1995;McMaster University, Hamilton, Ontario, Canada.
10. Smith H.W., Ichiyen N. Computer adjustment of metallurgical balances. Can. Inst. Mining Metall. (C.I.M.) Bulletin. 66:1973;97.
11. Tong H. Studies in data reconciliation using principal component analysis. Ph.D. Thesis. 1995;McMaster University, Hamilton, Ontario, Canada.