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<span lang="EN-US">We study the inverse problems which can not be solved in the classical framework: Krylov inverse problem, early diagnostics of a rotor unbalance, the most probable so­lution. For obtaining the steady solutions of these problems some algorithms based on the method of Tikhonov regularization are offered. Krylov inverse problem in various statements has been considered and numerical calculation on real measurements has been <span lang="EN-US">executed. Non-standard statements of inverse problems extend of regularization method possibilities.</span></span>