HIGH-PRECISION ANALYZING DEVICE FOR SIMULTANEOUS LINEAR EQUATIONS

摘要

PURPOSE: To solve the simultaneous linear equations by a high-speed computer (supercomputer) with high precision. ;CONSTITUTION: The computer consists of an approximate calculating circuit 1 which is supplied with a matrix A11 and a vector B12 as input data, a residue calculating circuit 2 which inputs an approximate solution u_i*13 from the approximate calculating circuit 1 and outputs a residue r_i4, and an adding circuit 3 which inputs the approximate solution 13 from the approximate calculating circuit 1 and outputs a highly precise approximate solution u*l5; and a constant-precision circuit is used repeatedly to improve the precision of the approximate calculating circuit 1 and residue calculating circuit 2, and the highly precise approximate solution is calculated by the adding circuit 3. Consequently, a conventional method which employs high-precision numeric data expression requires a large volume of hardware, but the constant-precision circuit is used repeatedly to obtain the high-precision solution.;COPYRIGHT: (C)1993,JPO&Japio