Please tell me the name of the code or algorithm for solving the following problem.

There is a set of blocks with experimental data. (For example, 200 blocks with 100 points each)

Block_1

x_1_1,y_1_1,error y_1_1

x_1_2,y_1_2,error y_1_2

....

x_1_i,y_1_i,error y_1_i

Block_2

x_2_1,y_2_1,error y_2_1

x_2_2,y_2_2,error y_2_2

....

x_2_i,y_2_i,error y_2_i

etc...

The experimental data are approximated by a function with five parameters. Moreover, four parameters are common to all blocks(P_1,P_2,P_3,P_4), and the fifth is individual for each block (P_5_1, P5_2....P5_J...., where J is the block number.). We need to find these parameters.