Concepedia

Modern homotopy methods in optimization

Layne T. Watson, Raphael T. Haftka

Computer Methods in Applied Mechanics and Engineering · 1989 · 131 citations · 20 references

DOI

Concepts

References

20

Systematic Control Design by Optimizing a Vector Performance Index

G. Kreisselmeier, Reinhold Steinhauser · IFAC Proceedings Volumes · 1979 · 562 citations

, , +13

Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations

Eugene L. Allgower, Kurt Georg · SIAM Review · 1980 · 435 citations

, , +16

Algorithm 652

Layne T. Watson, Stephen C. Billups, Alexander P. Morgan · ACM Transactions on Mathematical Software · 1987 · 382 citations · Full text

, , +16

Finding zeroes of maps: homotopy methods that are constructive with probability one

John Mallet‐Paret, James A. Yorke · Mathematics of Computation · 1978 · 376 citations · Full text

, , +6

Equivalence of the Complementarity Problem to a System of Nonlinear Equations

O. L. Mangasarian · SIAM Journal on Applied Mathematics · 1976 · 205 citations

, , +8