| Title:
|
Symmetric homotopies for solving systems of polynomial equations (English) |
| Author:
|
Meravý, Pavol |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
39 |
| Issue:
|
3 |
| Year:
|
1989 |
| Pages:
|
277-288 |
| . |
| Category:
|
math |
| . |
| MSC:
|
65H10 |
| idZBL:
|
Zbl 0683.65037 |
| idMR:
|
MR1016345 |
| . |
| Date available:
|
2009-09-25T10:18:37Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130579 |
| . |
| Reference:
|
[1] BRUNOVSKÝ P., MERAVÝ P.: Solving systems of polynomial equations by bounded and real homotopy.Numer. Math. 43, 1984, 397-418. Zbl 0543.65030, MR 0738385 |
| Reference:
|
[2] KENDIG K.: Elementary Algebraic Geometry.Springer-Verlag, New York 1977. Zbl 0364.14001, MR 0447222 |
| Reference:
|
[3] LI T. Y.: On locating all zeros of an analytic function within a bounded domain by a revised Delver-Lynes method.SIAM Num. Anal., 20, 1983, 865-871. MR 0708463 |
| Reference:
|
[4] LI T. Y., SAUER T., YORKE J. A.: Numerical solution of a classs of deficient polynomial systems.Preprint. MR 0881375 |
| Reference:
|
[5] MERAVÝ P.: Homotopy methods for solving systems of nonlinear equations and mathematical programming problems.Thesis, Comenius University, Bratislava 1984. (In Slovak.) |
| Reference:
|
[6] MUMFORD D.: Algebraic Geometry I - Compleх Projective Varieties.Springer-Verlag, Heidelberg 1976. MR 0453732 |
| Reference:
|
[7] VANDERBAUWHEDE A.: Local Bifurcation and Symmetry.Pitman Books Limited, London, 1982. Zbl 0539.58022, MR 0697724 |
| Reference:
|
[8] VOGEL W.: Lectures on results on Bezout's theorem.TATA Inst. of Fundamental Research, Bombay 1984. Zbl 0553.14022, MR 0743265 |
| Reference:
|
[9] ZULEHNER W.: A simple homotopy method for determining all isolated solutions to polynomial systems.Institutbericht Nr. 327, 1986, Johannes Kepler Univ. Linz, Austria. |
| . |
