Note on the End Game in Homotopy Zero Curve Tracking

ACM Transactions on Mathematical Software

Volumn 22, Issue 3, 1996, Pages 281-287

  Sosonkina, Maria ^a,c   Watson, Layne T ^a,c   Stewart, David E ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b TEXAS A AND M UNIVERSITY   (United States)

^c Virginia Polytechnic Institute and State University   (United States)

Author keywords

Algorithms; Curve tracking; Fixed point; G.1.5 numerical analysis : Roots of nonlinear equations systems of equations; G.4 mathematics of computing : Mathematical software; Globally convergent; Homotopy methods; Polynomial systems; Zero

Indexed keywords

COMPUTER SOFTWARE; CONVERGENCE OF NUMERICAL METHODS; NONLINEAR EQUATIONS; POLES AND ZEROS; POLYNOMIALS;

END GAME; FIXED POINT; GLOBALLY CONVERGENT; HOMOTOPY ZERO CURVE TRACKING; POLYNOMIAL SYSTEMS;

ALGORITHMS;

EID: 0030244841     PISSN: 00983500     EISSN: None     Source Type: Journal    
DOI: 10.1145/232826.232843     Document Type: Article

References (3)

1. MORGAN, A. P. AND WATSON, L. T. 1989. A globally convergent parallel algorithm for zeros of polynomial systems. Nonlinear Anal. 13, 1339-1350.
2. WATSON, L. T. 1989. Globally convergent homotopy methods: A tutorial. Appl. Math. Comput. 31BK, 369-396.
3. WATSON, L. T., BILLUPS, S. C., AND MORGAN, A. P. 1987. HOMPACK: A suite of codes for globally convergent homotopy algorithms. ACM Trans. Math. Softw. 13, 3 (Sept.), 281-310.