A Sequential-Quadratic-Programming Algorithm Using Orthogonal Decomposition With Gerschgorin Stabilization

[+] Author and Article Information
C.-P. Teng, J. Angeles

Department of Mechanical Engineering & Centre for Intelligent Machines, McGill University, 817 Sherbrooke Street, West, Montreal, Quebec, Canada H3A 2K6

J. Mech. Des 123(4), 501-509 (Jun 01, 1999) (9 pages) doi:10.1115/1.1416693 History: Received June 01, 1999
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.


Rao, S. S., 1996, Engineering Optimization, John Wiley & Sons, Inc., New York.
Fox,  R. L., and Gupta,  K. C., 1973, “Optimization Technology as Applied to Mechanism Design,” ASME J. Eng. Ind., 95, pp. 657–661.
Mangasarian,  O. L., 1972, “Techniques of Optimization,” ASME J. Eng. Ind., 93, pp. 365–371.
Seireg,  A., 1972, “A Survey of Optimization of Mechanical Design,” ASME J. Eng. Ind., 94, pp. 495–499.
Boot, C. G., 1964, Quadratic Programming, N. Holland Publishing Co., Amsterdam.
Strang, G., 1986, Introduction to Applied Mathematics, Wellesley-Cambridge Press, Wellesley, MA.
Broyden,  C. G., 1970, “The Convergence of a Class of Double-Rank Minimization Algorithm,” J. Inst. Math. Appl., 6, pp. 76–90.
Fletcher, R., 1987, Practical Methods of Optimization, John Wiley & Sons, Chichester, New York.
Goldfarb,  D., 1970, “A Family of Variable Metric Updates Derived by Variational Means,” Math. Comput., 24, pp. 23–26.
Shanno,  D. F., 1970, “Conditioning of Quasi-Newton Methods for Function Minimization,” Math. Comput., 24, pp. 647–656.
Varga, R. S., 2000, Matrix Iterative Analysis, Second Edition, Springer, Berlin-Heidelberg, New York.
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.
Coster,  J. E., and Stander,  N., 1996, “Structural Optimization Using Augmented Lagrangian Methods with Secant Hessian Updating,” Struct. Optim., 12, pp. 113–119.
Gere, J. M., and Timoshenko, S. P., 1990, Mechanics of Materials, Chapman and Hall, Boston, Mass.
Sterling Instruments, 1997, Handbook of Design Components, Autodesk Data Publishing, New York.
Luenberger, D. G., 1984, Linear and Nonlinear Programming, Second Edition, Addision-Wesley Publishing Company, Reading, MA.
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.
Arora, J. S., 1989, “IDESIGN User’s Manual Version 3.5.2,” Technical Report, Optimal Design Laboratory, College of Engineering, University of Iowa.
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.
Golub, G. H., and Van Loan, C. F., 1983, Matrix Computations, The Johns Hopkins University Press, Baltimore.


Grahic Jump Location
Free-body diagram of the bit
Grahic Jump Location
An N-link chain in: (a) its unknown equilibrium configuration; and (b) a configuration to be used as an initial guess
Grahic Jump Location
Definition of θi for the N-link chain
Grahic Jump Location
Isocontours of z and contour of the constraint for the Luenberger chain with M=2
Grahic Jump Location
The optimum configuration of the Luenberger chain with M=2



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In