Symmetric homotopies for solving systems of polynomial equations

Pavol Meravý

Mathematica Slovaca (1989)

  • Volume: 39, Issue: 3, page 277-288
  • ISSN: 0232-0525

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Meravý, Pavol. "Symmetric homotopies for solving systems of polynomial equations." Mathematica Slovaca 39.3 (1989): 277-288. <http://eudml.org/doc/32032>.

@article{Meravý1989,
author = {Meravý, Pavol},
journal = {Mathematica Slovaca},
keywords = {homotopy method; sign-symmetry; symmetric homotopies; systems of polynomial equations},
language = {eng},
number = {3},
pages = {277-288},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Symmetric homotopies for solving systems of polynomial equations},
url = {http://eudml.org/doc/32032},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Meravý, Pavol
TI - Symmetric homotopies for solving systems of polynomial equations
JO - Mathematica Slovaca
PY - 1989
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 39
IS - 3
SP - 277
EP - 288
LA - eng
KW - homotopy method; sign-symmetry; symmetric homotopies; systems of polynomial equations
UR - http://eudml.org/doc/32032
ER -

References

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  1. BRUNOVSKÝ P., MERAVÝ P., Solving systems of polynomial equations by bounded and real homotopy, Numer. Math. 43, 1984, 397-418. (1984) Zbl0543.65030MR0738385
  2. KENDIG K., Elementary Algebraic Geometry, Springer-Verlag, New York 1977. (1977) Zbl0364.14001MR0447222
  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. (1983) MR0708463
  4. LI T. Y., SAUER T., YORKE J. A., Numerical solution of a classs of deficient polynomial systems, Preprint. MR0881375
  5. MERAVÝ P., Homotopy methods for solving systems of nonlinear equations and mathematical programming problems, Thesis, Comenius University, Bratislava 1984. (In Slovak.) (1984) 
  6. MUMFORD D., Algebraic Geometry I - Compleх Projective Varieties, Springer-Verlag, Heidelberg 1976. (1976) MR0453732
  7. VANDERBAUWHEDE A., Local Bifurcation and Symmetry, Pitman Books Limited, London, 1982. (1982) Zbl0539.58022MR0697724
  8. VOGEL W., Lectures on results on Bezout's theorem, TATA Inst. of Fundamental Research, Bombay 1984. (1984) Zbl0553.14022MR0743265
  9. ZULEHNER W., A simple homotopy method for determining all isolated solutions to polynomial systems, Institutbericht Nr. 327, 1986, Johannes Kepler Univ. Linz, Austria. (1986) 

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