In article considered and investigated methods for reducing computational resource costs of iterative algorithms in the mathematical processor Wolfram Mathematica that based on preliminary preparation of initial data, management of intermediate data in the execution time, use and specific tuning of built-in functions: export to platform independent formats and dump files, compilation into Wolfram Virtual Machine code and machine code using a C-compiler, loop operators. Their nonobvious capabilities and features are shown. It has been proven that each of them, even individually, can significantlyaffect the reduction of such limited computer resources as amount of RAM and CPU time during calculations.