Q. Concurrently read concurrently write?

It is one of the models derived from PRAM. In this model the processors access the memory locations simultaneously for reading and writing operations. In this algorithm that uses CRCW model of computation, n³ number of processors is used. Whenever a simultaneous write operation is executed on a particular memory location let's say m than there are odds of occurrence of a conflict. So the write conflicts it implies that (WR, RW, WW) have been resolved in the subsequent manner. In a condition when more than one processor attempts to write on same memory location, the value stored in memory location is always the sum of values computed by different processors.

Algorithm Matrix Multiplication using CRCW

Input// Two Matrices M1 and M2

For I=1 to n                                  //Operation performed in PARALLEL

      For j=1 to n                          //Operation performed in PARALLEL 

         For k=1 to n                    //Operation performed in PARALLEL

               O_ij = 0;

               O_ij = M1_ik * M2_kj

               End For

       End For 

End For

The complexity of CRCW based algorithm is O(1).