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We study a class of multiplicative algorithms introduced by Silvey et al.(1978) for computing D-optimal designs. Strict monotonicity is established fora variant considered by Titterington (1978). A formula for the rate ofconvergence is also derived. This is used to explain why modificationsconsidered by Titterington (1978) and Dette et al. (2008) usually convergefaster.

Strict Monotonicity and Convergence Rate of Titterington's Algorithm for Computing D-optimal Designs