What is the concept of direct methods in Numerical Analysis?

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What is the concept of direct methods in Numerical Analysis?

Direct methods in Numerical Analysis refer to a set of algorithms and techniques used to solve mathematical problems by directly computing the solution. These methods involve a finite number of steps and provide an exact solution, without the need for iteration or approximation. Direct methods are typically used for solving systems of linear equations, finding eigenvalues and eigenvectors, and interpolating data points. They are efficient and reliable for small to medium-sized problems, but may become computationally expensive for larger systems.