Multivariate polynomial system solving using intersections of eigenspaces.

DOI10.1006/jsco.2001.0476zbMath1084.65523OpenAlexW2101011523MaRDI QIDQ5950985

Ralf Tenberg, Hans-Michael Möller

Publication date: 2 January 2002

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.2001.0476

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical computation of solutions to systems of equations (65H10) Computational aspects and applications of commutative rings (13P99)

Related Items

Analysis of normal-form algorithms for solving systems of polynomial equations ⋮ Prony's method in several variables: symbolic solutions by universal interpolation ⋮ Computing the multiplicity structure of an isolated singular solution: case of breadth one ⋮ Truncated normal forms for solving polynomial systems: generalized and efficient algorithms ⋮ Simultaneous triangularization of commuting matrices for the solution of polynomial equations ⋮ Multiplication matrices and ideals of projective dimension zero ⋮ Irreducible decomposition of polynomial ideals ⋮ Numerical computation of H-bases ⋮ Prony's method in several variables ⋮ Solving Polynomial Systems via Truncated Normal Forms ⋮ Determining singular solutions of polynomial systems via symbolic-numeric reduction to geometric involutive forms ⋮ Applying Gröbner basis method to multiparametric polynomial nonlinear programming

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