3 research outputs found
Strict Monotonicity and Convergence Rate of Titterington's Algorithm for Computing D-optimal Designs
We study a class of multiplicative algorithms introduced by Silvey et al.
(1978) for computing D-optimal designs. Strict monotonicity is established for
a variant considered by Titterington (1978). A formula for the rate of
convergence is also derived. This is used to explain why modifications
considered by Titterington (1978) and Dette et al. (2008) usually converge
faster
Algorithms for a constrained optimization problem with applications in statistics and optimum design
Abstract available: p.3-
Strict monotonicity and convergence rate of Titterington's algorithm for computing D-optimal designs
We study a class of multiplicative algorithms introduced by Silvey et al. (1978) for computing D-optimal designs. Strict monotonicity is established for a variant considered by Titterington (1978). A formula for the rate of convergence is also derived. This is used to explain why modifications considered by Titterington (1978) and Dette et al. (2008) usually converge faster.D-optimality Experimental design Multiplicative algorithm