Optimality conditions and solution procedures for nondegenerate dual-response systems

IIE Transactions (Institute of Industrial Engineers)

Volumn 29, Issue 9, 1997, Pages 743-752

  Semple, John ^a  

^a UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; MATHEMATICAL MODELS; PROBLEM SOLVING;

NONCONVEX QUADRATICS; NONDEGENERATE DUAL RESPONSE SYSTEMS;

OPTIMIZATION;

EID: 0031221610     PISSN: 0740817X     EISSN: 15458830     Source Type: Journal    
DOI: 10.1080/07408179708966384     Document Type: Article

References (19)

1. Del Castillo, E., and Montgomery, D. C., (1993) A nonlinear programming solution to the dual response problem. Journal of Quality Technology, 25 (3), 199–204.
2. Vining, G.G., and Myers, R.H., (1990) Combining Taguchi and response surface philosophies a dual response approach. Journal of Quality Technology, 22, 38–45.
3. Myers, R.H., and Carter, W.H., (1973). Response surface techniques for dual response systems. Technometrics, 15 (2), 301–317.
4. Hoerl, A.E., (1959) Optimum solution of many variables equations. Chemical Engineering Progress, 55, 69–78.
5. Draper, N.R., (1963) Ridge analysis of response surfaces. Technometrics, 5 (4), 469–479.
6. Box, G.E.P., and Wilson, K.B., (1951) On the experimental attainment of optimum conditions. Journal of the Royal Statistical Society, B13, 1–45.
7. Myers, R.H., Khuri, A.I., and Carter, W.H., (1989) Response surface methodology 1966-1988. Technometrics, 31 (2), 137–157.
8. Luenberger, D.G., (1984) Linear and Nonlinear Programming, 2nd edn, Addison-Wesley, Reading, MA.
9. Zhang, Y., (1992) Computing a CDT trust-region step. Mathematical Programming, 55, 109–124.
10. More, J.J., and Sorensen, D.C., (1983) Computing a trust region step. SIAM J. Sci. Stat. Comput., 4 (3), 553–572.
11. Del Castillo, E., Fan, S., and Semple, J., (1996) Optimization of dual response systems a comprehensive procedure for degenerate and nondegenerate problems. Working paper 96-0801, Edwin L. Cox School of Business, Southern Methodist University, Dallas, TX 75275.
12. Yuan, Y., (1990) On a subproblem of trust region algorithms for constrained optimization. Mathematical Programming, 47, 53–63.
13. Forsythe, G.E., and Golub, G.H., (1965) On the stationary values of a second-degree polynomial on the unit sphere. J. SIAM, 13, 1050–1068.
14. Golub, G.H., and von Matt, U., (1991) Quadratically constrained least squares and quadratic problems. Numerische Mathematik, 59, 561–580.
15. Stern, R.J., and Wolkowicz, H., (1994) Trust region problems and nonsymmetric eigenvalue perturbations. SIAM J. Matrix Anal. Appl., 15 (3), 755–778.
16. Reinsch, C.H., (1967) Smoothing by spline functions. Numerische Mathematik, 10, 177–183.
17. Reinsch, C.H., (1971) Smoothing by spline functions. II. Numerische Mathematik, 16, 451–454.
18. Semple, J., (1995) Optimality conditions and solution procedures for nondegenerate dual response systems. CCS Report no. 776, CBA 5.202, The University of Texas at Austin, Austin, TX 78712-1177.
19. Conte, S.D., and de Boor, C., (1980) Elementary Numerical Analysis, 3rd edn, McGraw-Hill, New York.