A sequential-quadratic- programming algorithm using orthogonal decomposition with gerschgorin stabilization

Journal of Mechanical Design, Transactions of the ASME

Volumn 123, Issue 4, 2001, Pages 501-509

  Teng, C P ^a   Angeles, J ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 13644273983     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1416693     Document Type: Article

References (20)

1. Rao, S. S., 1996, Engineering Optimization, John Wiley & Sons, Inc., New York.
2. Fox, R. L., and Gupta, K. C., 1973, “Optimization Technology as Applied to Mechanism Design,” ASME J. Eng. Ind., 95, pp. 657-661.
3. Mangasarian, O. L., 1972, “Techniques of Optimization,” ASME J. Eng. Ind., 93, pp. 365-371.
4. Seireg, A., 1972, “A Survey of Optimization of Mechanical Design,” ASME J. Eng. Ind., 94, pp. 495-499.
5. Boot, C. G., 1964, Quadratic Programming, N. Holland Publishing Co., Amsterdam.
6. Strang, G., 1986, Introduction to Applied Mathematics, Wellesley-Cambridge Press, Wellesley, MA.
7. Broyden, C. G., 1970, “The Convergence of a Class of Double-Rank Minimization Algorithm,” J. Inst. Math. Appl., 6, pp. 76-90.
8. Fletcher, R., 1987, Practical Methods of Optimization, John Wiley & Sons, Chichester, New York.
9. Goldfarb, D., 1970, “A Family of Variable Metric Updates Derived by Variational Means,” Math. Comput., 24, pp. 23-26.
10. Shanno, D. F., 1970, “Conditioning of Quasi-Newton Methods for Function Minimization,” Math. Comput., 24, pp. 647-656.
11. Varga, R. S., 2000, Matrix Iterative Analysis, Second Edition, Springer, BerlinHeidelberg, New York.
12. Angeles, J. Anderson, and Gosselin, C., 1990, “Constrained Design Optimization Using Orthogonal Decomposition,” ASME J. Mech., Transm., Autom. Des., 112, No. 2, pp. 255-256.
13. Coster, J. E., and Stander, N., 1996, “Structural Optimization Using Augmented Lagrangian Methods with Secant Hessian Updating,” Struct. Optim., 12, pp. 113-119.
14. Gere, J. M., and Timoshenko, S. P., 1990, Mechanics of Materials, Chapman and Hall, Boston, Mass.
15. Sterling Instruments, 1997, Handbook of Design Components, Autodesk Data Publishing, New York.
16. Luenberger, D. G., 1984, Linear and Nonlinear Programming, Second Edition, Addision-Wesley Publishing Company, Reading, MA.
17. Sunar, M., and Belegundu, A. D., 1991, “Trust Region Methods for Structural Optimization Using Exact Second Order Sensitivity,” Int. J. Numer. Methods Eng., 32, pp. 275-293.
18. Arora, J. S., 1989, “IDESIGN User’s Manual Version 3.5.2,” Technical Report, Optimal Design Laboratory, College of Engineering, University of Iowa.
19. Snyman, J. A., and Stander, N., 1996, “Feasible Descent Cone Methods for Inequality Constrained Optimization Problems,” Int. J. Numer. Methods Eng., 39, pp. 275-293.
20. Golub, G. H., and Van Loan, C. F., 1983, Matrix Computations, The Johns Hopkins University Press, Baltimore.