The lower bound on the run time of this process cannot be less than O (n^2)  
A 2005 paper by Cohn and Kleinberg includes a combinatorial conjecture about uniquely solvable puzzles,  which if true, would suggest a O(n^2) (read: "big O of n squared") algorithm for this problem. That bound is much better than the O(n^2.3) (read: "big O of 2 point 3") run time provided by the Coppersmith-Winograd algorithm. One way of doing this using divide-and-conquer involves dividing each of the input objects into four pieces, although that approach does not speed up this operation without the use of 7 formulas discovered by Volker Strassen. The lower bound on the run time of this process cannot be less than O (n^2)  (read: "big O of n squared") because there are n squared entries in each of the two input objects. For 10 points, name this mathematical operation whose standard algorithm runs in O(n^3) (read: "big O of n cubed") time because it involves computing the n squared entries in the product of two objects that each have n rows and n columns.
A 2005 paper by Cohn and Kleinberg includes a combinatorial conjecture about uniquely solvable puzzles,  which if true, would suggest a O(n^2) (read: "big O of n squared") algorithm for this problem.
Matrix {Multiplication}