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1. The problems
Let X and Y be two vector spaces and T : X → Y. Let x ∊ X and y ∊ Y. Consider the equation
There are three types of problems in numerical analysis:
the direct problem: given T and x, calculate y (e.g. a definite integral);
the inverse problem: given T and y, find x (e.g. systems of equations, differential and integral equations);
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