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IMPROVED MODULE AND METHOD FOR SOLVING MATRIX INVERSE MATRIX ACCORDING TO BIT SUBSTITUTION

机译:根据位替换求解矩阵逆矩阵的改进模块和方法

摘要

Provided are an improved module and computation method for solving a matrix inverse matrix according to bit substitution. The module for solving a matrix inverse matrix comprises: a boundary-element obtaining unit, an internal-element obtaining unit, a lower triangular-matrix obtaining unit, an upper triangular-matrix obtaining unit, and an inverse-matrix obtaining unit; the boundary-element obtaining unit is used for obtaining a boundary element of a reduced coefficient matrix of a to-be-inverted matrix; the internal-element obtaining unit is used for obtaining an internal element of a reduced coefficient matrix of a to-be-inverted inverse matrix; the lower triangular-matrix obtaining unit is used for obtaining the inverse matrix of the lower triangular matrix obtained by decomposing the to-be-inverted matrix; the upper triangular-matrix obtaining unit is used for obtaining the inverse matrix of the upper triangular matrix obtained by decomposing the to-be-inverted matrix; the inverse-matrix obtaining unit is used for obtaining the inverse matrix of the to-be-inverted matrix. In engineering applications, it is thus possible to reduce the complexity of matrix inversion computations, compress storage space, and improve the parallelization of solving an inversion computation, thus more quickly and effectively completing a matrix-inversion computation.
机译:提供一种改进的模块和计算方法,用于根据位替换来求解矩阵逆矩阵。求解矩阵逆矩阵的模块包括:边界元素获取单元,内部元素获取单元,下三角矩阵获取单元,上三角矩阵获取单元,以及逆矩阵获取单元;边界元素获取单元,用于获取待求逆矩阵的降系数矩阵的边界元素;内部元素获取单元,用于获取待求逆的逆矩阵的降系数矩阵的内部元素。下三角矩阵获取单元,用于获取将待求逆矩阵分解得到的下三角矩阵的逆矩阵;上三角矩阵获取单元,用于获取将待求逆矩阵分解得到的上三角矩阵的逆矩阵;逆矩阵获取单元,用于获取待逆矩阵的逆矩阵。因此,在工程应用中,可以降低矩阵求逆运算的复杂度,压缩存储空间,并提高求解求逆运算的并行度,从而更快,更有效地完成矩阵求逆运算。

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