Inversion of a matrix of order 38
Herbert F. Mitchell · Mathematics of Computation · 1948
inversion of matrix of order 38 161 where M and e are given and E is required.A small punched-card table gave a rough approximation to E, E0.This value E0 was used to enter a standard punched-card table of sin E with tabular interval of 0°.01.From this table were taken sin E0 and sin (E0 + 0°.01) by passing the cards through the reproducer in both directions.The relay calculator, with a single run of the cards, evaluated the following formulae : <5i = M -Eo + 57°.2958e sin E0 <5j = M -Ea -0°.01 + 57°.2958e sin (E0 + 0°.01) E = Eo -0°.01<5i/(52 -<5i).