Results 21 to 30 of about 2,297,129 (216)

Polynomiality properties of tropical refined invariants [PDF]

open access: yes, 2022
Tropical refined invariants of toric surfaces constitute a fascinating interpolation between real and complex enumerative geometries via tropical geometry.
Brugallé, Erwan   +1 more
core   +1 more source

Polynomial decomposition algorithms

open access: yesJournal of Symbolic Computation, 1985
\textit{M. Fried} and \textit{R. MacRae} [Math. Ann. 180, 220--226 (1969; Zbl 0185.28803)] proved the following theorem: Let \(f,g,p,q\) be univariate polynomials over an arbitrary field \(k\). Then \(p(x)-q(z)\) divides \(f(x)-g(z)\) if and only if there exists a polynomial \(F(t)\) over \(k\) such that \(f(t)=F(p(t))\) and \(g(t)=F(q(t)).\) The ...
David R. Barton, Richard Zippel
openaire   +2 more sources

Polynomiality properties of tropical refined invariants

open access: yes
24 Figures, 44 pages. V2: minor revisionsTropical refined invariants of toric surfaces constitute a fascinating interpolation between real and complex enumerative geometries via tropical geometry.
Brugallé, Erwan   +1 more
core   +7 more sources

Division algorithms for Bernstein polynomials [PDF]

open access: yesComputer Aided Geometric Design, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Busé, Laurent, Goldman, Ron
openaire   +1 more source

Convergence analysis of an Inexact Infeasible Interior Point method for Semidefinite Programming [PDF]

open access: yes, 2004
In this paper we present an extension to SDP of the well known infeasible Interior Point method for linear programming of Kojima,Megiddo and Mizuno (A primal-dual infeasible-interior-point algorithm for Linear Programming, Math. Progr., 1993).
Pieraccini, Sandra, Bellavia, S
core   +1 more source

Polynomial decomposition algorithms

open access: yesJournal of Symbolic Computation, 1989
A polynomial \(f\) over a commutative ring is said to be decomposable if it has a non-trivial functional decomposition \(f=g\circ h\). Previous algorithms to check decomposability were exponential-time in the worst case and only worked over fields of characteristic 0.
Dexter Kozen, Susan Landau 0001
openaire   +3 more sources

Algorithmic Computation of Polynomial Amoebas [PDF]

open access: yes, 2016
We present algorithms for computation and visualization of amoebas, their contours, compactified amoebas and sections of three-dimensional amoebas by two-dimensional planes. We also provide method and an algorithm for the computation of~polynomials whose amoebas exhibit the most complicated topology among all polynomials with a fixed Newton polytope ...
D. V. Bogdanov   +2 more
openaire   +5 more sources

Interpolation by lattice polynomial functions: A polynomial time algorithm [PDF]

open access: yesFuzzy Sets and Systems, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Quentin Brabant   +2 more
openaire   +3 more sources

Quasi-polynomiality of monotone orbifold Hurwitz numbers and Grothendieck's dessins d'enfants [PDF]

open access: yes, 2019
We prove quasi-polynomiality for monotone and strictly monotone orbifold Hurwitz numbers. The second enumerative problem is also known as enumeration of a special kind of Grothendieck's dessins d'enfants or $r$-hypermaps.
R.Kramer   +6 more
core   +1 more source

Quantum algorithms for the Jones polynomial [PDF]

open access: yesSPIE Proceedings, 2010
This paper gives a generalization of the AJL algorithm and unitary braid group representation for quantum computation of the Jones polynomial to continuous ranges of values on the unit circle of the Jones parameter. We show that our 3-strand algorithm for the Jones polynomial is a special case of this generalization of the AJL algorithm.
Kauffman, Louis H.   +1 more
openaire   +2 more sources

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