Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



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
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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.

References [Enhancements On Off] (What's this?)

  • [1] R. H. Gallagher and O. C. Zienkiewicz (eds.), Optimum structural design, John Wiley and Sons, New York, 1973 MR 1602135
  • [2] W. R. Spillers and S. Al.-Banna, Optimization using iterative design techniques, Computers and Structures 3, 1263-1271 (1973)
  • [3] W. R. Spillers and J. Funaro, Iterative design with deflection constraints, submitted to ASCE for publication.
  • [4] W. R. Spillers and J. Farrell, An absolute-value linear programming problem, J. Math. Analysis and Appl. 28, 153-158, (1969) MR 0246634
  • [5] W. I. Zangwill, Nonlinear programming: a unified approach, Prentice-Hall, Englewood Cliffs, N. J., pp. 186-188, 1969 MR 0359816
  • [6] E. R. Lorch, Differentiable inequalities and the theory of convex bodies, Trans. Amer. Math. Society 71, 243-266, (1951) MR 0052804

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DOI: https://doi.org/10.1090/qam/446529
Article copyright: © Copyright 1975 American Mathematical Society

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