سوال ۲۹ کنکور ارشد علوم کامپیوتر ۱۳۹۸

Read the following excerpt from PASSAGE 3 and answer the question.

PASSAGE 3 (excerpt): Solving an IEP can generally be regarded as solving a nonlinear algebraic system... Direct approach. By a direct method, we mean a procedure through which a solution to an IEP can be found in finitely many arithmetic operations. It might be surprising that, for nonlinear systems such as IEPs, such a method could ever exist. However, most IEPs with Jacobi structure can be solved by the Lanczos method that terminates in finitely many steps. The paper by Boley and Golub (1987) offers a good survey of this method. In fact, it is the primary concern in the paper by Ikramov and Chugunov (2000) who search for upper bounds on the number of prescribed entries so that a matrix with these prescribed entries and a prescribed spectrum could be completed by finite rational methods. By a finite rational method, we refer to any procedure that uses only arithmetic operations of the field over which the problem is considered.

Question: A method using only finitely many arithmetic operations of the field of concern in order to arrive at a solution __________.