You are required to multiply two numbers given in Roman figures. For instance, XIX times XXXIV is DCXLVI. You may not use a method that involves translating the numbers into Arabic notation, multiplying them, and then translating them back again. Devise an algorithm for this problem.

Hint: Find ways to translate back and forth between true Roman notation and something similar that does not involve any subtractions. For instance, XIX might become XVIIII in this "pseudo-Roman" notation. Next find easy ways to double, halve and add figures in pseudo-Roman notation. Finally, adapt multiplication a la russe to complete the problem.