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Generalized inverses of large matrices using the generalized Schur complement

机译:使用广义Schur补码的大矩阵的广义逆

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The development of a software package for calculating the generalized inverse of a large real matrix is described. A large matrix is defined as a matrix that is too large to reside in computer memory. The computer software is written in Microsoft C v5.0 and can be implemented on an IBM-PC or compatible. The software is file-oriented and employs windowing techniques developed to bring into RAM the block needed for the calculations that are performed. The program requires that all matrices be stored in disk files before any manipulation can take place. This design constraint is necessary because when performing calculations on large matrices, only part of the matrix can be read into memory at any given time. Details about the design structure of the software are given. An additional set of functions is developed to allow the user to use this program in a recursive fashion in order to calculate the M-P inverse of extremely large matrices.
机译:描述了用于计算大型实矩阵的广义逆的软件包的开发。大矩阵定义为太大而无法驻留在计算机内存中的矩阵。该计算机软件是用Microsoft C v5.0编写的,可以在IBM-PC上实现或兼容。该软件是面向文件的,并使用开发的窗口技术将执行计算所需的块引入RAM。该程序要求所有矩阵都必须存储在磁盘文件中,然后才能进行任何操作。这种设计约束是必要的,因为在大型矩阵上执行计算时,在任何给定时间只能将矩阵的一部分读取到内存中。给出了有关软件设计结构的详细信息。开发了一组附加功能,以允许用户以递归方式使用此程序,以便计算极大矩阵的M-P逆。

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