Direct Numerical Solution of Large Sets of Simultaneous Equations.
ARIZONA UNIV TUCSON DEPT OF AEROSPACE AND MECHANICAL ENGINEERING
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The paper attempts to survey, classify and compare methods available for the solution of simultaneous equations on a digital computer. It is known that, for direct methods, the amount of central processor time required to perform the solution varies little from one method to the other. More interesting than the algorithm is the data handling method. The basis for comparison here is core utilization and the number of required IO operations. Low core utilization means higher program capacity and increased generality, whereas a low IO activity improves efficiency and reduces system residence time. One of the interesting findings in a comparative study of the demands on computer resources is that the data handling method is indeed the deciding factor, rather than the mathematical algorithm.
- Theoretical Mathematics