Khalil, Houssam, Mourrain, Bernard, Schatzman, Michelle
In this paper, we re-investigate the resolution of Toeplitz systems $T u =g$, from a new point of view, by correlating the solution of such problems with syzygies of polynomials or moving lines. We...
Plusieurs problèmes en mathématiques appliquées requièrent la résolution de systèmes linéaires de très grandes tailles, et parfois ces systèmes doivent être résolus de multiples fois. Dans...
Plusieurs problèmes en mathématiques appliquées requièrent la résolution de systèmes linéaires de très grandes tailles, et parfois ces systèmes doivent être résolus de multiples fois. Dans...
Plusieurs problèmes en mathématiques appliquées requièrent la résolution de systèmes linéaires de très grandes tailles, et parfois ces systèmes doivent être résolus de multiples fois. Dans...
Plusieurs problèmes en mathématiques appliquées requièrent la résolution de systèmes linéaires de très grandes tailles, et parfois ces systèmes doivent être résolus de multiples fois. Dans...
Fast solver for band Toeplitz-block-band Toeplitz system (2008)
Let $T$ be a Toeplitz block Toeplitz matrix with coefficients in a field $K$ of size $N$. Assume that the blocks are of size $n\times n$ and that there are $n\times n$ blocks. Assume moreover that...
Fast solver for band Toeplitz-block-band Toeplitz system (2008)
Let $T$ be a Toeplitz block Toeplitz matrix with coefficients in a field $K$ of size $N$. Assume that the blocks are of size $n\times n$ and that there are $n\times n$ blocks. Assume moreover that...
Fast solver for band Toeplitz-block-band Toeplitz system (2008)
Let $T$ be a Toeplitz block Toeplitz matrix with coefficients in a field $K$ of size $N$. Assume that the blocks are of size $n\times n$ and that there are $n\times n$ blocks. Assume moreover that...
Khalil, Houssam, Mourrain, Bernard, Schatzman, Michelle
In this paper, we re-investigate the resolution of Toeplitz systems $T\, u =g$, from a new point of view, by correlating the solution of such problems with syzygies of polynomials or moving lines. We...
Khalil, Houssam, Mourrain, Bernard, Schatzman, Michelle
In this paper, we re-investigate the resolution of Toeplitz systems $T\, u =g$, from a new point of view, by correlating the solution of such problems with syzygies of polynomials or moving lines. We...
Resultant-based methods for plane curves intersection problems (2005)
Busé, Laurent, Khalil, Houssam, Mourrain, Bernard
We present an algorithm for solving polynomial equations, which uses generalized eigenvalues and eigenvectors of resultant matrices. We give special attention to the case of two bivariate polynomials...
Resultant-based methods for plane curves intersection problems (2005)
Busé, Laurent, Khalil, Houssam, Mourrain, Bernard
We present an algorithm for solving polynomial equations, which uses generalized eigenvalues and eigenvectors of resultant matrices. We give special attention to the case of two bivariate polynomials...
Resultant-based methods for plane curves intersection problems (2005)
Busé, Laurent, Khalil, Houssam, Mourrain, Bernard
We present an algorithm for solving polynomial equations, which uses generalized eigenvalues and eigenvectors of resultant matrices. We give special attention to the case of two bivariate polynomials...