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INVERSE MATRIX CALCULATION DEVICE AND INVERSE MATRIX CALCULATION PROCESSING METHOD

机译:逆矩阵计算装置及逆矩阵计算方法

摘要

The purpose of the present invention is to provide an inverse matrix calculation device that can handle matrices having relatively large size even if calculation resources are limited. An inverse matrix calculation device 1 is provided with a processor 102 that subjects an augmented matrix (A|I) of an input matrix A with N rows and N columns to an elementary row operation by Gaussian elimination, and a memory 13 for storing a matrix with N rows and N columns. The processor 102, every time normalization calculation of an element in an (i + 1)-th row and an (i + 1)-th column (i = 0, 1,..., N-1) of the augmented matrix is performed, causes the memory 13 to store a matrix with N rows and N columns which takes an element in the first row and an (i + 2)-th column of the augmented matrix after the calculation as an element in the first row and the first column, repeats, on the basis of the matrix with N rows and N columns stored in the memory 13, the normalization calculation with respect to an element in an (i + 2)-th row and an (i + 2)-th column of the augmented matrix after the calculation, and outputs, when the calculation ends from the first row to an N-th row, the matrix with N rows and N columns stored in the memory 13 as an inverse matrix A-1.
机译:本发明的目的是提供一种即使在计算资源有限的情况下也能够处理尺寸较大的矩阵的逆矩阵计算装置。逆矩阵计算装置1包括:处理器102,其通过高斯消除对具有N行N列的输入矩阵A的增强矩阵(A | I)进行基本行运算;以及存储器13,其用于存储矩阵N行N列处理器102每次对增强矩阵的第(i +1)行和第(i +1)列(i = 0、1,...,N-1)中的元素进行归一化计算时执行该操作,使存储器13存储具有N行和N列的矩阵,该矩阵将第一行中的元素和计算后的增强矩阵的第(i + 2)列作为第一行中的元素,并且根据存储在存储器13中的具有N行和N列的矩阵,第一列重复关于第(i + 2)行和(i + 2)-中的元素的归一化计算。计算后的扩充矩阵的第n列,当计算从第一行到第N行结束时,将存储在存储器13中的具有N行N列的矩阵作为逆矩阵A - 1

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