Convergence in iterative design
Authors:
W. R. Spillers and S. Al-Banna
Journal:
Quart. Appl. Math. 33 (1975), 160-164
MSC:
Primary 90C40
DOI:
https://doi.org/10.1090/qam/446529
MathSciNet review:
446529
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
Abstract: Earlier results for the monotone convergence of iterative design for a simple model of the truss problem are generalized for the case in which the objective function is a homogeneous, convex function.
- Maria Morandi Cecchi, Ken Morgan, and Olgierd C. Zienkiewicz (eds.), Finite elements in fluids, John Wiley & Sons, Ltd., Chichester, 1998. Richard H. Gallagher memorial issue; Internat. J. Numer. Methods Fluids 27 (1998), no. 1-4, Special Issue. MR 1602135
W. R. Spillers and S. Al.-Banna, Optimization using iterative design techniques, Computers and Structures 3, 1263–1271 (1973)
W. R. Spillers and J. Funaro, Iterative design with deflection constraints, submitted to ASCE for publication.
- W. R. Spillers and John Farrell, An absolute-value linear programming problem, J. Math. Anal. Appl. 28 (1969), 153–158. MR 246634, DOI https://doi.org/10.1016/0022-247X%2869%2990118-8
- Willard I. Zangwill, Nonlinear programming: a unified approach, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1969. Prentice-Hall International Series in Management. MR 0359816
- E. R. Lorch, Differentiable inequalities and the theory of convex bodies, Trans. Amer. Math. Soc. 71 (1951), 243–266. MR 52804, DOI https://doi.org/10.1090/S0002-9947-1951-0052804-9
R. H. Gallagher and O. C. Zienkiewicz (eds.), Optimum structural design, John Wiley and Sons, New York, 1973
W. R. Spillers and S. Al.-Banna, Optimization using iterative design techniques, Computers and Structures 3, 1263–1271 (1973)
W. R. Spillers and J. Funaro, Iterative design with deflection constraints, submitted to ASCE for publication.
W. R. Spillers and J. Farrell, An absolute-value linear programming problem, J. Math. Analysis and Appl. 28, 153–158, (1969)
W. I. Zangwill, Nonlinear programming: a unified approach, Prentice-Hall, Englewood Cliffs, N. J., pp. 186–188, 1969
E. R. Lorch, Differentiable inequalities and the theory of convex bodies, Trans. Amer. Math. Society 71, 243–266, (1951)
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
90C40
Retrieve articles in all journals
with MSC:
90C40
Additional Information
Article copyright:
© Copyright 1975
American Mathematical Society
