A practical refutation of the iteration method for the algebraic eigenproblem
E. BODEWIG · Mathematics of Computation · 1954
The integrals F(y) = (T f(t)K(y,t)dt or f f(t)K(y,t)dt Jo Jo are evaluated by means of high speed analog computer elements for various values of y.The variable y is given a sequence of values and by a suitable switching procedure the values of F(y) are evaluated at a rate of 60 per second and plotted with a reference value on a cathode ray tube.The functions/^) and K(y,t) for y fixed are obtained by function generators or by differential analyzer techniques.During the generation of F(y), y which should remain fixed does actually vary.The error due to this cause and the errors due to the multiplier and function generator are discussed.