Numerical calculation of the multiplicity of a solution to algebraic equations

Mathematics of Computation

Volumn 67, Issue 221, 1998, Pages 257-270

  Kobayashi, Hidetsune ^a   Suzuki, Hideo ^c   Sakai, Yoshihiko ^b  

^a NIHON UNIVERSITY   (Japan)

^b Visual Technology Inc   (Japan)

^c NONE

Author keywords

Homotopy method; Multiplicity; System of algebraic equations; Zeuthen's rule

Indexed keywords

EID: 0032326523     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-98-00906-5     Document Type: Article

References (5)

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2. B. L. van der Waerden : Einführung in die algebraische Geometrie, Springer-Verlag, 1973. MR 49:8984
3. H. Kobayashi, H. Suzuki and Y. Sakai: Separation of close root, by linear fractional transformation, Proc. of ASCM, 1-10, Scientists INC, 1995.
4. W. Fulton: Algebraic Curves, The Benjamin/Cummings Publishing Company, 1969. MR 47:1807
5. A. H. Wright: Finding All Solutions to a System of Polynomial Equations, Mathematics of Computation Vol. 44, No. 169, 1985, 125-133. MR 86i:12001