Homotopy continuation methods for computer-aided process design

NUMERICAL SOLUTION OF BIFURCATION AND NONLINEAR EIGENVALUE PROBLEMS.

H. B. Keller · 1977 · 1K citations

Natural Sciences, Mathematics, Physics +10

The Application of Newton’s Method to the Problem of Elastic Stability

E. Riks · Journal of Applied Mechanics · 1972 · 763 citations

Natural Sciences, Mechanical Engineering, Applied Mechanics +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

Computing, Mathematics, Computational Geometry +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

Natural Sciences, Computer Science, Mathematics +6

A locally parameterized continuation process

Werner C. Rheinboldt, John Burkardt · ACM Transactions on Mathematical Software · 1983 · 229 citations · Full text

Computing, Computer Science, Algorithms +5