local parameterization, curvature estimates to control stepsize: continuation, target points, limit points
Gams: F2

1

DONGARRA, J.J BUNCH, J.R., MOLER, C B., AND STEWART, G.W LINPACK User's Guzde Society for Industrial and Apphed Mathematics, Philadelphia, Pa., 1979.

2

EISENSTAT, S C., GURSKY, M.C., SCHULTZ, M.H., AND SHERMAN, A.H Yale sparse matrix package. Res. Reps 112 and 114, Yale University, Department of Computer Science, New Haven, 1977.

3

DEN HEIJER, C., AND RHEINBOLDT, W.C. On steplength algorithms for a class of continuation methods SIAM J Numer Anal. 18 (1981), 925-947.

4

C. L. Lawson , R. J. Hanson , D. R. Kincaid , F. T. Krogh, Basic Linear Algebra Subprograms for Fortran Usage, ACM Transactions on Mathematical Software (TOMS), v.5 n.3, p.308-323, Sept. 1979  [doi>10.1145/355841.355847]

5

MILNOR, J.W. Topology from a D~fferential Viewpoint. University o~ Virgima Press, Charlottesville, 1965

6

RHEINBOLDT, W.C Solution fields of nonlinear equations and continuation methods. SIAM J. Numer. Anly 17 (1980), 221-237.

7

RHEINROLDT, W.C. Numerical analysis of contmuatmn methods for nonhnear structural problems. Comput Struct 13 (1981), 103-114

8

Werner C. Rheinboldt , John V. Burkardt, A locally parameterized continuation process, ACM Transactions on Mathematical Software (TOMS), v.9 n.2, p.215-235, June 1983  [doi>10.1145/357456.357460]

D. C. S. Allison , A. Chakraborty , L. T. Watson, Granularity issues for solving polynomial systems via globally convergent algorithms on a hypercube, Proceedings of the third conference on Hypercube concurrent computers and applications, p.1463-1472, January 1989, Pasadena, California, United States

Layne T. Watson , Maria Sosonkina , Robert C. Melville , Alexander P. Morgan , Homer F. Walker, Algorithm 777: HOMPACK90: a suite of Fortran 90 codes for globally convergent homotopy algorithms, ACM Transactions on Mathematical Software (TOMS), v.23 n.4, p.514-549, Dec. 1997

Alexander P. Morgan , Andrew J. Sommese , Layne T. Watson, Finding all isolated solutions to polynomial systems using HOMPACK, ACM Transactions on Mathematical Software (TOMS), v.15 n.2, p.93-122, June 1989

Layne T. Watson , Stephen C. Billups , Alexander P. Morgan, ALGORITHM 652: HOMPACK: a suite of codes for globally convergent homotopy algorithms, ACM Transactions on Mathematical Software (TOMS), v.13 n.3, p.281-310, Sept. 1987

A. Chakraborty , D. C. S. Allison , C. J. Ribbens , L. T. Watson, Parallel unit tangent vector computation for homotopy curve tracking on a hypercube, Proceedings of the 1990 ACM annual conference on Cooperation, p.103-108, February 20-22, 1990, Washington, D.C., United States

A. Chakraborty , D. C. S. Allison , C. J. Ribbens , L. T. Watson, The Parallel Complexity of Embedding Algorithms for the Solution of Systems of Nonlinear Equations, IEEE Transactions on Parallel and Distributed Systems, v.4 n.4, p.458-465, April 1993

Z. Jackiewicz, Construction and Implementation of General Linear Methods for Ordinary Differential Equations: A Review, Journal of Scientific Computing, v.25 n.1, p.29-49, October 2005

Werner C. Rheinboldt: colleagues

John V. Burkardt: colleagues