What is the largest integer value

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Question: Professor Caesar wishes to develop a matrix-multiplication algorithm that is asymptotically faster than Strassen's algorithm. His algorithm will use the divide and-conquer method, dividing each matrix into pieces of size n=4 n=4, and the divide and combine steps together will take ‚.n2 / time. He needs to determine how many subproblems his algorithm has to create in order to beat Strassen's algo rithm. If his algorithm creates a subproblems, then the recurrence for the running time T .n/ becomes T .n/ D aT .n=4/ C ‚.n2 /. What is the largest integer value of a for which Professor Caesar's algorithm would be asymptotically faster than Strassen's algorithm?

Reference no: EM133240137

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