公开(公告)号：US20140336993A1

公开(公告)日：2014-11-13

申请号：US13824994

申请日：2011-09-15

申请人： Laura Grigori ,  Frédéric Nataf ,  Pawan Kumar

发明人： Laura Grigori ,  Frédéric Nataf ,  Pawan Kumar

IPC分类号： G06F17/50 ,  G06F17/16

CPC分类号： G06F17/5009 ,  G06F17/12 ,  G06F17/16

摘要： A multipurpose computing device includes a solver receiving a working matrix and an initial matrix corresponding to a system of equations and residual data; and an adapter receiving the initial matrix as well as a filtering matrix and calculates a working matrix corresponding to an equation system solved by the solver. The working matrix checks a stability condition with the initial matrix, comprising a comparison of two matrix products including the filtering matrix or the transpose thereof, and the initial matrix and the working matrix, respectively. The adapter renumbers the initial matrix and the filtering matrix in order to produce a modified matrix and a modified filtering matrix using an ordering rule that is a function of a dependency condition, and recursively calculates the working matrix representation with these matrices. The solver works recursively on the working matrix to provide a solution without inverting the initial matrix.

摘要翻译： 多用途计算设备包括接收工作矩阵的求解器和对应于方程组和残差数据的初始矩阵; 以及接收初始矩阵的适配器以及滤波矩阵，并且计算与求解器求解的方程式对应的工作矩阵。 工作矩阵使用初始矩阵检查稳定性条件，分别包括包括滤波矩阵或其转置的两个矩阵乘积以及初始矩阵和工作矩阵的比较。 适配器重新编号初始矩阵和滤波矩阵，以便使用作为依赖条件的函数的排序规则产生修改的矩阵和修改的滤波矩阵，并且用这些矩阵递归地计算工作矩阵表示。 求解器在工作矩阵上递归地工作，以提供解决方案，而不会反转初始矩阵。

公开(公告)号：US20130226980A1

公开(公告)日：2013-08-29

申请号：US13813837

申请日：2011-08-02

申请人： Laura Grigori ,  Frederic Nataf

发明人： Laura Grigori ,  Frederic Nataf

IPC分类号： G06F17/16

CPC分类号： G06F17/16 ,  G06F17/12

摘要： A calculation computer includes a calculator-solver receiving a working matrix representation corresponding to a system of equations, as well as residue data, and for providing a solution to the system of equations from residue data, an adapter receiving an initial matrix representation corresponding to a system of equations to be processed, as well as a filtering matrix representation, the working matrix representation forced to meet with the initial matrix representation, the adapter iteratively calculates blockwise an intermediate matrix from the initial matrix representation and from said numerical representation of a filtering matrix representation, the calculator-solver works on this intermediate matrix, blockwise, so as to provide a solution of the system of equations of the initial matrix representation, without completely inverting the latter,

摘要翻译： 计算计算机包括接收与等式系统相对应的工作矩阵表示的计算器求解器，以及残差数据，并且从残差数据提供方程系统的解，接收器接收对应于 要处理的方程组以及过滤矩阵表示，强制符合初始矩阵表示的工作矩阵表示，适配器从初始矩阵表示和从滤波矩阵的所述数值表示中逐次计算中间矩阵 表达式，计算器求解器在该中间矩阵上工作，以块状方式，以提供初始矩阵表示方程组的解，而不完全反转后者，