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» The polynomial solution to the Sylvester matrix equation
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IMA
2009
Springer
111views Cryptology» more  IMA 2009»
14 years 5 months ago
Geometric Ideas for Cryptographic Equation Solving in Even Characteristic
Abstract. The GeometricXL algorithm is a geometrically invariant version of the XL algorithm that uses polynomials of a much smaller degree than either a standard Groebner basis al...
Sean Murphy, Maura B. Paterson
JAT
2010
88views more  JAT 2010»
13 years 9 months ago
Cauchy biorthogonal polynomials
The paper investigates the properties of certain biorthogonal polynomials appearing in a specific simultaneous Hermite–Pad´e approximation scheme. Associated with any totally ...
M. Bertola, M. Gekhtman, J. Szmigielski
ISSAC
1997
Springer
142views Mathematics» more  ISSAC 1997»
14 years 2 months ago
The Structure of Sparse Resultant Matrices
Resultants characterize the existence of roots of systems of multivariate nonlinear polynomial equations, while their matrices reduce the computation of all common zeros to a prob...
Ioannis Z. Emiris, Victor Y. Pan
SIAMSC
2008
140views more  SIAMSC 2008»
13 years 10 months ago
Newton-GMRES Preconditioning for Discontinuous Galerkin Discretizations of the Navier--Stokes Equations
We study preconditioners for the iterative solution of the linear systems arising in the implicit time integration of the compressible Navier-Stokes equations. The spatial discreti...
Per-Olof Persson, Jaime Peraire
MCS
2008
Springer
13 years 10 months ago
On the stability analysis of nonlinear systems using polynomial Lyapunov functions
In the stability study of nonlinear systems, not to found feasible solution for the LMI problem associated with a quadratic Lyapunov function shows that it doesn't exist posi...
Hajer Bouzaouache, Naceur Benhadj Braiek